Prof. Ayhan Esi

Professor
Malatya Turgut Ozal University, Turkiye

Highest Degree
Ph.D. in Applied Mathematics and Computational Sciences from Firat University, Turkiye

My URL
https://livedna.org/90.15262

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Area of Interest:

Mathematics
Mathematical Modelling
Summability Theory
Functional Analysis
Applied Mathematics

Selected Publications

  1. Sharma, S.K. and A. Esi, 2015. μ-statistical convergent double lacunary sequence spaces. Afrika Matematika, 26: 1467-1481.
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  2. Khan, V.A., K. Ebadullah, A. Esi and M. Shafiq, 2015. On some Zeweir I-convergent sequence spaces defined by a modulus function. Afrika Matematika, 26: 115-125.
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  3. Khan, V., N. Khan and A. Esi, 2015. On some generalized I-convergent double sequence spaces defined by a sequence of moduli. Romai J., 11: 105-113.
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  4. Esi, A. and S.K. Sharma, 2015. Some paranormed sequence spaces defined by a Musielak-Orlicz function over n-normed spaces. Konuralp J. Math., 3: 16-28.
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  5. Esi, A. and M.K. Ozdemir, 2015. On real valued I-convergent A-summable sequence spaces defined by sequences of Orlicz functions. Southest Asian Bull. Math., 39: 477-485.
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  6. Esi, A. and M.K. Ozdemir, 2015. Asymptotically double lacunary equivalent sequences in topological groups. Applic. Applied Math., 10: 1093-1103.
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  7. Esi, A. and H. Dutta, 2015. Some sets of double lacunary invariant sequences definied by four dimensional summable matrices and orlicz functions. Miskolc Math. Notes, 16: 805-816.
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  8. Esi, A. and E. Savas, 2015. On lacunary statistically convergent triple sequences in probabilistic normed space. Applied Math. Inform. Sci., 9: 2529-2534.
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  9. Duran, U., M. Acikgoz, A. Esi and S. Araci, 2015. Some new symmetric identities involving q-Genocchi polynomials under S4. J. Math. Anal., 6: 22-31.

  10. Esi, A., 2014. λ-sequence spaces of interval numbers. Applied Math. Inform. Sci., 8: 1099-1102.
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  11. Esi, A., 2014. Statistical and lacunary statistical convergence of interval numbers in topological groups. Acta Scientiarum: Technol., 36: 491-495.
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  12. Esi, A., 2014. Asymptotically double lacunry equivalent sequences defined by Orlicz functions. Acta Scientiarum: Technol., 36: 323-329.
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  13. Sharma, S.K. and A. Esi, 2013. Some I-convergent sequence spaces defined by using sequence of moduli and n-normed space. J. Egypt. Math. Soc., 21: 103-107.
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  14. Ozdemir, M.K., A. Esi and A. Esi, 2013. On some new double spaces of λ-convergent and λ-bounded sequences defined by Orlicz function. AIP Conf. Proc., 1558: 785-787.
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  15. Khan, V.A., N. Khan, A. Esi and S. Tabassum, 2013. I-pre-Cauchy double sequences and Orlicz functions. Engineering, 5: 52-56.
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  16. Khan, V.A., K. Ebadullah, A. Esi, N. Khan and M. Shafiq, 2013. On paranorm Zweier I-convergent sequence spaces. J. Math. 10.1155/2013/613501.
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  17. Hazarika, B. and A. Esi, 2013. Statistically almost λ-convergence of sequences of sets. Eur. J. Pure Applied Math., 6: 137-146.
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  18. Hazarika, B. and A. Esi, 2013. Some generalized lacunary statistically difference double semi-normed sequence spaces defined by Orlicz function. Acta Scientarium: Technol., 35: 131-138.
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  19. Hazarika, B. and A. Esi, 2013. On some I-convergent generalized difference lacunary double sequence spaces defined by Orlicz functions. Acta Scientarium: Technol., 35: 527-537.
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  20. Esi, A., M. Acikgoz and A. Esi, 2013. On a class of generalized sequences related to the ℓp space defined by Orlicz functions. Boletim Sociedade Paranaense Matematica, 31: 113-123.
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  21. Esi, A., 2013. λ3-statistical convergence of triple sequences on probabilistic normed space. Global J. Math. Anal., 1: 29-36.

  22. Esi, A., 2013. p-absolutely summable sequences of fuzzy real numbers. Maejo Int. J. Sci. Technol., 7: 107-112.
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  23. Esi, A., 2013. Strongly lacunary summable generalized difference double sequence spaces in n-normed spaces defined by ideal convergence and an Orlicz function. Progr. Applied Math., 5: 1-10.
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  24. Esi, A., 2013. Statistical convergence of triple sequences in topological groups. Ann. Univ. Craiova-Math. Comput. Sci. Ser., 40: 29-33.
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  25. Esi, A., 2013. On asymptotically lacunary statistical equivalent sequences in probabilistic normed space. J. Math. Stat., 9: 144-148.

  26. Esi, A., 2013. On a class of new type generalized difference sequences related to the P-normed ℓp space defined by Orlicz functions. Am. J. Applied Math. Stat., 1: 52-56.
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  27. Esi, A., 2013. Lacunary strong A-convergence sequence spaces defined by a sequence of moduli. Kuwait J. Sci., 40: 57-65.
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  28. Esi, A., 2013. Double sequences of interval numbers defined by Orlicz functions. Acta Commentationes Universitatis Tartuensis Mathematica, 17: 57-64.
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  29. Esi, A. and N. Braha, 2013. On asymptotically λ-statistical equivalent sequences of interval numbers. Acta Scientarium: Technol., 35: 515-520.
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  30. Esi, A. and M.K. Ozdemir, 2013. Λ-strongly summable sequence spaces in n-normed spaces defined by ideal convergence and an Orlicz function. Mathematica Slovaca, 63: 829-838.
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  31. Esi, A. and M.K. Ozdemir, 2013. On lacunary statistical convergence in random n-normed space. Ann. Fuzzy Math. Inform., 5: 429-439.
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  32. Esi, A. and M. Acikgoz, 2013. On some double lacunary strong Zweier convergent sequence spaces. Ann. Univ. Craiova-Math. Comput. Sci. Ser., 40: 121-127.
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  33. Esi, A. and B. Hazarika, 2013. Some ideal convergence of double Λ-interval Number sequences defined by Orlicz function. Global J. Math. Anal., 1: 110-116.
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  34. Esi, A. and B. Hazarika, 2013. On interval valued generalized difference classes defined by Orlicz function. Turk. J. Anal. Number Theory, 1: 48-53.
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  35. Esi, A. and A. Esi, 2013. Asymptotically lacunary statistically equivalent sequences of interval numbers. Int. J. Math. Applic, 35: 43-48.
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  36. Dutta, H., A. Esi and A.B. Khalaf, 2013. Some Orlicz extended ℐ-convergent A-summable classes of sequences of fuzzy numbers. J. Inequalities Applic. 10.1186/1029-242X-2013-479.
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  37. Datta, A.J., A. Esi and B.C. Tripathy, 2013. Statistically convergent triple sequence spaces defined by Orlicz function. J. Math. Anal., 4: 16-22.
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  38. Subramanian, N., A. Esi, U.K. Misra and M.S. Panda, 2012. The generalized difference gai sequences of fuzzy numbers defined by Orlicz functions. Bol. Soc. Paran. Math., 30: 9-18.

  39. Karababa, Y.F. and A. Esi, 2012. On some strong Zweier convergent sequence spaces. Acta Universitatis Apulensis, 29: 9-15.
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  40. Hazarika, B. and A. Esi, 2012. On generalized statistical convergence in topological groups. Rendiconti Seminario Matematico Universita Politecnico Torino, 70: 497-505.
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  41. Esi, A., 2012. Strongly summable double sequence spaces in n-normed spaces defined by ideal convergence and an Orlicz function. Kyungpook Math. J., 52: 137-147.
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  42. Esi, A., 2012. Strongly lacunary summable double sequence spaces in n-normed spaces defined by ideal convergence and an Orlicz function. Adv. Model. Optimization, 14: 79-86.

  43. Esi, A., 2012. Strongly almost summable sequence spaces in 2-normed spaces defined by ideal convergence and an Orlicz function. Studia Universitatis Babes-Bolyai, Mathematica, 57: 75-82.
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  44. Esi, A., 2012. Some new paranormed sequence spaces defined by Orlicz function. Int. J. Sci. Environ. Technol., 1: 49-55.
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  45. Esi, A., 2012. On new classes of double sequence spaces defined by Orlicz function. J. Applied Functional Analysis, 7: 148-156.
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  46. Esi, A., 2012. On asymptotically double lacunary statistical equivalent sequences in probabilistic normed space. An. St. Univ. Ovidius Contanta, 20: 89-100.
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  47. Esi, A., 2012. Lacunary strongly almost generalized convergence with respect to orlicz function. Gen. Math. Notes, 9: 44-51.

  48. Esi, A. and M.K. Ozdemır, 2012. On almost asymptotically statistical equivalent sequences of fuzzy numbers. Br. J. Math. Comput. Sci., 2: 44-51.
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  49. Esi, A. and M.K. Ozdemir, 2012. On some I-convergent double almost summable classes of double fuzzy real numbers defined by Orlicz function. Asian J. Math. Sci., 1: 14-25.

  50. Esi, A. and M.K. Ozdemir, 2012. Lacunary statistical convergence of double generalized difference sequences on probabilistic normed space. J. Math. Comput. Sci., 2: 23-36.
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  51. Esi, A. and M. Isık, 2012. Some generalized difference sequence spaces. Thai J. Math., 3: 241-247.
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  52. Esi, A. and M. Catalbas, 2012. Asymptotically lacunary statistical equivalent sequences of fuzzy numbers. Bol. Soc. Paran. Math., 30: 57-62.

  53. Esi, A. and B.C. Tripathy, 2012. Some new type of difference sequence spaces defined by modulus and statistical convergence. Analysis Theory Applıed, 28: 19-26.

  54. Acikgoz, M. and A. Esi, 2012. Lacunary ınvariant statistical convergence of fuzzy numbers. Gen. Math. Notes, 2: 44-51.

  55. Fıstıkci, N., M. Acikgoz and A. Esi, 2011. I lacunary generalized difference convergent sequences in n-normed spaces. J. Math. Analysis, 2: 18-24.

  56. Esi, A., 2011. Strongly almost lamda-convergence and statistically almost lamda convergence of interval numbers. Scientia Manga 7: 117-122.

  57. Esi, A., 2011. On some new generalized difference double sequence spaces defined by orlicz functions. Matematika, 27: 31-40.
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  58. Esi, A., 2011. On some new difference double sequence spaces via Orlicz function. J. Adv. Stud. Topol., 2: 16-25.

  59. Esi, A., 2011. On some double lamda (delta,F)-statistical convergence of fuzzy numbers. Acta Univ. Apulensis, 25: 99-104.

  60. Esi, A., 2011. Lacunary statistical convergence of difference double sequences. Acta Univ. Apulensis, 28: 41-51.

  61. Esi, A., 2011. A new class of interval numbers. Qafqaz Univ. Math. Comp. Sci., 31: 98-102.

  62. Esi, A., 2011. A new class of double interval numbers. Scientia Magna, 7: 54-59.

  63. Esi, A. and M. Acikgoz, 2011. Some new classes of sequences of fuzzy numbers. Int. J. Fuzzy Syst., 13: 218-224.
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  64. Esi, A. and M. Acikgoz, 2011. Some classes of difference sequences of fuzzy numbers defined by a sequence of Moduli. Acta Math. Sci., 31: 229-236.
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  65. Esi, A. and K. Ozdemir, 2011. Generalized delta-Δm statistical convergence in probabilistic normed space. J. Comput. Analysis Applic., 13: 923-932.

  66. Esi, A. and E. Eren, 2011. Some classes of difference fuzzy numbers defined by an Orlicz function. Sci. Magna, 7: 120-129.

  67. Subramanian, N. and A. Esi, 2010. The dıfference orlıcz space of entıre sequence of fuzzy numbers. Commun. Korean Math. Soc., 25: 193-206.
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  68. Subramanian, N. and A. Esi, 2010. The Norlund space of double entire sequences. Fasciculi Math., 43: 147-153.

  69. Esi, A., 2010. The classes of strongly V (A-p)-Summable of sequences of fuzzy numbers. N. Y. J. Math., 16: 13-21.

  70. Esi, A., 2010. Some classes of strongly almost convergent sequences of fuzzy numbers generated by infinite matrices. J. Fuzzy Math., 18: 465-471.

  71. Esi, A., 2010. Some classes of ac-convergent sequences of fuzzy numbers generated by ınfinite matrices. J. Fuzzy Math., 18: 483-488.

  72. Esi, A., 2010. On-asymptotically statistical equivalent sequences. Applied Math. Inform. Sci., 4: 183-189.

  73. Esi, A., 2010. On some new generalized difference double sequence spaces defined by modulus functions. J. Assam Acad. Math., 2: 109-118.

  74. Esi, A., 2010. On some generalized new type difference sequence spaces defined by a modulus function. Acta Math. Vietnamica, 35: 243-252.
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  75. Esi, A., 2010. On a class of sequence related to the space defined by a sequence of orlicz functions. Math. Vesnik, 62: 85-93.

  76. Esi, A., 2010. On A-Asymptotically lacunary statistical equivalent sequences. J. Applied Functional Analysis, 5: 221-226.
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  77. Esi, A. and A. Gokhan, 2010. Lacunary strong almost A-convergence with respect to a sequence of Orlicz functions. J. Comput. Analysis Applic., 12: 853-863.
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  78. Acar, Y. and A. Esi, 2010. Some generalized difference sequence spaces defined by orlicz function in a seminormed space. Int. J. Open Problems Compt. Math., 3: 201-210.
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  79. Subramanian, N. and A. Esi, 2009. On lacunary almost statistical convergence of generalized difference sequences of fuzzy numbers. Int. J. Fuzzy Syst., 11: 44-48.
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  80. Esi, A., 2009. Strongly generalized difference [V^{},^{m},p]-summable sequence spaces defined by a sequence of moduli. Nihonkai Math. J., 20: 99-108.

  81. Esi, A., 2009. Strongly almost convergent classes of sequences of fuzzy numbers generated by ınfınıte matrıces defıned by a modulus functıon. Adv. Fuzzy Math., 4: 31-39.

  82. Esi, A., 2009. Some classes of generalized difference paranormed sequence spaces associated with multiplier sequences. J. Comput. Analysis Applic., 11: 536-545.
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  83. Esi, A., 2009. On some generalized difference sequence spaces of invariant means defined by a sequence of Orlicz functions. J. Comput. Analysis Applic., 11: 524-535.
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  84. Esi, A., 2009. On asymptotically double lacunary statistical equivalent sequences. Applied Math. Lett., 22: 1781-1785.

  85. Esi, A., 2009. Lacunary strongly almost convergent sequences of fuzzy numbers. J. Concrete Applic. Math., 7: 64-69.
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  86. Esi, A., 2009. Lacunary strong almost convergence of generalized difference sequences with respect to a sequence of moduli. J. Adv. Res. Math., 1: 9-18.

  87. Esi, A. and M. Acikgoz, 2009. Some generalized classes of difference sequences of fuzzy numbers defined by a modulus function. J. Concrete Applic. Math., 7: 139-144.
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  88. Esi, A., 2008. On strongly-summable sequences. Int. J. Contemp. Math. Sci., 3: 1273-1281.

  89. Esi, A., 2008. On some new classes of sequences of fuzzy numbers. Int. J. Math. Analysis, 2: 837-844.

  90. Esi, A., 2008. On some classes of generalized paranormed sequence spaces associated with multiplier sequences. Iran. J. Sci. Technol. Trans. A., 32: 283-288.

  91. Esi, A., 2008. On Δ-asymptotically equivalent sequences of fuzzy numbers. Int. J. Math. Comput., 1: 29-35.

  92. Esi, A., 2008. Generalızed lacunary strongly Δm-convergent sequences of fuzzy numbers. Iran. J. Sci. Technol., 32: 243-248.
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  93. Esi, A., B.C. Tripathy and B. Sarma, 2007. On some new type generalized difference sequence spaces. Math. Slovaca, 57: 1-8.

  94. Esi, A. and B.C. Tripathy, 2007. Generalized Strongly difference convergent sequences associated with multiplier sequences. Math. Slovaca, 57: 339-348.

  95. Esi, A., 2006. On some new paranormed sequence spaces of fuzzy numbers defined by Orlicz functions and statistical convergence. Math. Modell. Analysis, 11: 379-388.
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  96. Esi, A. and H. Polat, 2006. On strongly -summable sequence spaces. Iran. J. Sci. Technol. Trans. A: Sci., 30: 229-234.

  97. Tripathy, B.C., A. Esi and B. Tripathy, 2005. On new types of generalized difference Cesaro sequence spaces. Soochow J. Math., 31: 333-340.
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  98. Tripathy, B.C. and A. Esi, 2005. Generalized lacunary difference sequence spaces defined by Orlicz functions. Matimyas Mat., 28: 50-57.

  99. Esi, A., M. Isık and A. Esi, 2004. On some new sequence spaces defined by Orlicz functions. Indıan J. Pure Applıed Math., 35: 31-36.

  100. Esi, A., 2004. On a class of new type difference sequence spaces related to the space l^ p. Far East J. Math. Sci., 13: 167-172.

  101. Esi, A., 2001. Generalized matrix transformations between some sequence spaces. J. Inst. Math. Comput. Sci. Math. Ser., 14: 11-14.

  102. Et, M. and A. Esi, 2000. On Kothe-toeplitz duals of generalized difference sequence spaces. Bull. Malaysian Math. Sci. Soc., 24: 25-32.
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  103. Esi, A., 2000. A new sequence space defined by a modulus function. J. Analysis, 8: 31-37.

  104. Esi, A. and M. Et, 2000. Some new sequence spaces defined by a sequence of Orlicz functions. Indian J. Pure Applied Math., 31: 967-974.

  105. Esi, A., 1999. Some new sequence spaces defined by a modulus function. Math. Slovaca, 49: 53-61.
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  106. Esi, A., 1999. Some new sequence spaces defined by a modulus and strongly-almost statistical convergence. J. Indian Math. Soc., 66: 81-87.

  107. Esi, A., 1999. Some new sequence spaces defined by Orlicz Functions. Bull. Inst. Math. Acad. Sinica, 27: 71-76.

  108. Esi, A. and N. Catalbas, 1999. On solutions of mU=f(r, ,z). J. Inst. Math. Comput. Sci. Math. Ser., 12: 85-93.

  109. Esi, A. and M. Et, 1998. Statistical semiperiodic sequence spaces and [f]-lacunary statistically convergence. Far East J. Math. Sci., 6: 831-838.

  110. Esi, A., 1996. The A-statistical and strongly (Ap)-Cesaro convergence of sequences. Pure Applied Math. Sci., 43: 89-94.

  111. Esi, A. and M. Et, 1996. Some new sequence spaces defined by a modulus function. Pure Applied Math. Sci., 43: 95-99.

  112. Esi, A., 1995. Some new sequence spaces defined by a modulus function. J. Inst. Math. Comput. Sci. Math. Ser., 8: 81-86.
Member since April, 2017