Dr. Mehmet Gurdal
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Dr. Mehmet Gurdal

Professor
Süleyman Demirel University, Turkiye

Highest Degree
Ph.D. in Mathematics from Suleyman Demirel University, Turkiye

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Area of Interest:

Mathematics
100%
Functional Analysis
62%
Operator Theory
90%
Mathematical Inequalities
75%
Mathematical Modeling
55%

Research Publications in Numbers

Books
0
Chapters
0
Articles
0
Abstracts
0

Selected Publications

  1. Gurdal, M., U. Yamanci and M. Garayev, 2018. Some results for operators on a model space. Front. Math. China, 13: 287-300.
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  2. Garayev, M.T. and M. Gurdal, 2018. Remarks on the zero Toeplitz product problem in the Bergman and Hardy spaces. Turk. J. Math., 42: 1504-1508.
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  3. Yamanci, U., M. Gurdal and M.T. Garayev, 2017. Berezin number inequality for convex function in reproducing Kernel Hilbert space. Filomat, 31: 5711-5717.
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  4. Yamanci, U. and M. Gurdal, 2017. On numerical radius and Berezin number inequalities for reproducing kernel Hilbert space. N. Y. J. Math., 23: 1531-1537.
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  5. Nabiev, A.A., M. Gurdal and S. Saltan, 2017. Inverse problems for the Sturm-Liouville equation with the discontinuous coefficient. J. Applied Anal. Comput., 7: 559-580.
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  6. Gurdal, M. and M.B. Huban, 2017. Statistical convergence and C*-operator algebras. Theory Applic. Math. Comput. Sci., 7: 41-50.
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  7. Gurdal, M. and E. Savas, 2017. A-cluster points via ideals. Ukrainian Math. J., 69: 324-331.
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  8. Garayev, M.T., M. Gurdal and U. Yamanci, 2017. Berezin symbols and Borel summability. Quaestiones Math., 40: 403-411.
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  9. Garayev, M.T., M. Gurdal and S. Saltan, 2017. Hardy type inequaltiy for reproducing Kernel Hilbert space operators and related problems. Positivity, 21: 1615-1623.
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  10. Adiloglu, A., M. Gurdal and A.N. Kinci, 2017. Uniqueness properties of the solution of the inverse problem for the Sturm-Liouville equation with discontinuous leading coefficient. Anais Acad. Bras. Cien., 89: 2547-2561.
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  11. Yamanci, U. and M. Gurdal, 2016. Statistical convergence and operators on Fock space. N. Y. J. Math., 22: 199-207.
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  12. Savas, E. and M. Gurdal, 2016. Ideal convergent function sequences in random 2-normed spaces. Filomat, 30: 557-567.
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  13. Karaev, M.T., M. Gurdal and M.B. Huban, 2016. Reproducing kernels, Engliš algebras and some applications. Stud. Math., 232: 113-141.
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  14. Gurdal, M., M.T. Garayev and H. Deger, 2016. Berezin symbols and Abel convergence of sequences and series. Proc. Rom. Acad.-Ser. A: Math. Phys. Tech. Sci. Inform. Sci., 17: 203-209.
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  15. Gunturk, B., B. Cengiz and M. Gurdal, 2016. On norm-preserving isomorphisms of Lp(µ, H). Hacettepe J. Math. Stat. J., 45: 33-41.
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  16. Garayev, M.T., M. Gurdal and U. Yamanci, 2016. Description of Bloch spaces, weighted Bergman spaces and invariant subspaces and related questions. Kuwait J. Sci., 43: 70-77.
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  17. Garayev, M.T., M. Gurdal and A. Okudan, 2016. Hardy-Hilbert's inequality and power inequalities for Berezin numbers of operators. Math. Inequalities Applic., 19: 883-891.
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  18. Yamanci, U. and M. Gurdal, 2015. On asymptotically generalized statistical equivalent double sequences via ideals. Electron. J. Math. Anal. Applic., 3: 89-96.
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  19. Savas, E. and M. Gurdal, 2015. A generalized statistical convergence in intuitionistic fuzzy normed spaces. ScienceAsia, 41: 289-294.
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  20. Savas, E. and M. Gurdal, 2015. I-statistical convergence in probabilistic normed spaces. Scient. Bull.-Ser. A: Applied Math. Phys., 77: 195-204.
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  21. Gurdal, M., U. Yamanci and S. Saltan, 2015. Generators of certain function banach algebras and related questions. Applied Math. Inform. Sci., 9: 85-88.
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  22. Gurdal, M., M.T. Garayev, S. Saltan and U. Yamanci, 2015. On some numerical characteristics of operators. Arab J. Math. Sci., 21: 118-126.
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  23. Gurdal, M., M.T. Garayev, S. Saltan and U. Yamanci, 2015. dist-formulas and Toeplitz operators. Ann. Funct. Anal., 6: 221-226.
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  24. Gurdal, M., M.T. Garayev and S. Saltan, 2015. Some concrete operators and their properties. Turk. J. Math., 39: 970-989.
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  25. Gurdal, M. and U. Yamanci, 2015. Statistical convergence and some questions of operator theory. Dyn. Syst. Applic., 24: 305-312.
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  26. Gurdal, M. and M.O. Ozgur, 2015. A generalized statistical convergence via moduli. Electron. J. Math. Anal. Applic., 3: 173-178.
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  27. Yamanci, U. and M. Gurdal, 2014. I-statistically pre-Cauchy double sequences. Global J. Math. Anal., 2: 297-303.
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  28. Yamanci, U. and M. Gurdal, 2014. I-statistical convergence in 2-normed space. Arab J. Math. Sci., 20: 41-47.
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  29. Savas, E. and M. Gurdal, 2014. Generalized statistically convergent sequences of functions in fuzzy 2-normed spaces. J. Intell. Fuzzy Syst., 27: 2067-2075.
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  30. Savas, E. and M. Gurdal, 2014. Certain summability methods in intuitionistic fuzzy normed spaces. J. Intell. Fuzzy Syst., 27: 1621-1629.
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  31. Nabiev, A.A., S. Saltan and M. Gurdal, 2014. Characterization of the scattering data for the Sturm-Liouville operator. Math. Methods Applied Sci., 37: 2626-2637.
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  32. Karaev, M.T., M. Gurdal and U. Yamanci, 2014. Some results related with Berezin symbols and Toeplitz operators. Math. Inequalities Applic., 17: 1031-1045.
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  33. Gurdal, M., M.T. Garayev and S. Saltan, 2014. Basisity problem and weighted shift operators. Acta Math. Sci., 34: 1655-1660.
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  34. Gurdal, M. and M.B. Huban, 2014. On I-convergence of double sequences in the topology ınduced by random 2-norms. Matematicki Vesnik, 66: 73-83.
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  35. Gurdal, M. And H. Sari, 2014. Extremal A-statistical limit points via ideals. J. Egypt. Math. Soc., 22: 55-58.
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  36. Yamanci, U. and M. Gurdal, 2013. On lacunary ıdeal convergence in random n-normed space. J. Math., Vol. 2013. 10.1155/2013/868457.
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  37. Yamanci, U. and M. Gurdal, 2013. IK-Convergence in the topology ınduced by random 2-normed spaces. Int. J. Anal., Vol. 2013. 10.1155/2013/451762.
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  38. Karaev, M.T., M. Gurdal and U. Yamanci, 2013. Special operator classes and their properties. Banach J. Math. Anal., 7: 74-85.
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  39. Gurdal, M. and F. Sohret, 2013. On some operator equations in the space of analytic functions and related questions. Proc. Estonian Acad. Sci., 62: 81-87.
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  40. Guncan, A., U. Yamanci and M. Gurdal, 2013. Lacunary statistical limit points in random 2-normed spaces. ISRN Math. Anal., Vol. 2013. 10.1155/2013/189721.
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  41. Gurdal, M. and M.B. Huban, 2012. I-limit points in random 2-normed spaces. Theory Applic. Math. Comput. Sci., 2: 15-22.
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  42. Gurdal, M. And A. Sahiner, 2012. Statistical approximation with a sequence of 2-Banach spaces. Math. Comput. Modell., 55: 471-479.
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  43. Chalendar, I., E. Fricain, M. Gurdal and M.T. Karaev, 2012. Compactness and Berezin symbols. Acta Scient. Math., 78: 315-329.
  44. Saltan, S. and M. Gurdal, 2011. Spectral multiplicities of some operators. Complex Variables Elliptic Equat., 56: 513-520.
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  45. Sahiner, A., M. Gurdal and T. Yigit, 2011. Ideal convergence characterization of the completion of linear n-normed spaces. Comput. Math. Applic., 61: 683-689.
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  46. Karaev, M.T. and M. Gurdal, 2011. Strongly splitting weighted shift operators on banach spaces and unicellularity. Operat. Matrices, 5: 157-171.
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  47. Karaev, M., M. Gurdal and S. Saltan, 2011. Some applications of Banach algebra techniques. Mathematische Nachrichten, 284: 1678-1689.
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  48. Gurdal, M., 2011. Connections between Deddens algebras and extended eigenvectors. Math. Notes, 90: 37-40.
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  49. Gurdal, M. and F. Sohret, 2011. Some results for Toeplitz operators on the Bergman space. Applied Math. Comput., 218: 789-793.
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  50. Karaev, M.T. and M. Gurdal, 2010. On the Berezin symbols and Toeplitz operators. Extracta Math., 25: 83-102.
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  51. Gurdal, M., 2010. On basisity problem in the spaces ℓpA(ID), 1≤p<∞. Numer. Funct. Anal. Optimiz., 32: 59-64.
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  52. Tian, C.J., S.S. Cheng and M. Gurdal, 2009. Necessary and sufficient conditions for frequent cauchy sequences. Asian-Eur. J. Math., 2: 295-305.
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  53. Gurdal, M., A. Sahiner and I. Acik, 2009. Approximation theory in 2-Banach spaces. Nonlinear Anal.: Theory Methods Applic., 71: 1654-1661.
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  54. Gurdal, M., 2009. On the extended eigenvalues and extended eigenvectors of shift operator on the Wiener algebra. Applied Math. Lett., 22: 1727-1729.
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  55. Gurdal, M., 2009. Description of extended eigenvalues and extended eigenvectors of integration operators on the Wiener algebra. Expositiones Math., 27: 153-160.
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  56. Gurdal, M. and S. Pehlivan, 2009. Statistical convergence in 2-normed spaces. Southeast Asian Bull. Math., 33: 257-264.
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  57. Sahiner, A. and M. Gurdal, 2008. New sequence spaces in n-normed spaces with respect to an Orlicz function. Aligarh Bull. Math., 27: 53-58.
  58. Gurdal, M. and I. Acik, 2008. On I-Cauchy sequences in 2-normed spaces. Math. Inequalities Applic., 11: 349-354.
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  59. Gurdal, M. and A. Sahiner, 2008. Extremal I-limit points of double sequences. Applied Math. E-Notes, 8: 131-137.
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  60. Gurdal, M. And A. Sahiner, 2008. Ideal convergence in n-normal spaces and some new sequence spaces via n-norm. Malaysian J. Fundam. Applied Sci., 4: 233-244.
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  61. Sahiner, A., M. Gurdal, S. Saltan and H. Gunawan, 2007. Ideal convergence in 2-normed spaces. Taiwanese J. Math., 11: 1477-1484.
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  62. Sahiner, A., M. Gurdal and F.K. Duden, 2007. Triple sequences and their statistical convergence. Selcuk J. Applied Math., 8: 49-55.
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  63. Nabiev, A., S. Pehlivan and M. Gurdal, 2007. On I-Cauchy sequences. Taiwanese J. Math., 11: 569-576.
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  64. Pehlivan, S., M. Gurdal and B. Fisher, 2006. Lacunary statistical cluster points of sequences. Math. Commun., 11: 39-46.
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  65. Gurdal, M., 2006. On ideal convergent sequences in 2-normed spaces. Thai J. Math., 4: 85-91.
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  66. Gurdal, M., 2005. μ-Statistical characterization of completion of normed and ınner product spaces. Int. J. Pure Applied Math., 22: 439-447.
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  67. Gurdal, M., 2004. On statistically convergent series of functions. Far East J. Math. Sci., 13: 1-10.
  68. Gurdal, M. and S. Pehlivan, 2004. The statistical convergence in 2-banach spaces. Thai J. Math., 2: 107-113.
  69. Gurdal, M., 2003. Statistically pre-Cauchy sequences and bounded moduli. Acta Commentationes Univ. Tartuensis Math., 7: 3-7.