Dr. Vishnu Narayan Mishra

Associate Professor
Indira Gandhi National Tribal University, India

Highest Degree
Ph.D. in Mathematics from Indian Institute of Technology Roorkee, India

My URL
https://livedna.org/91.5071

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Biography

Dr. Vishnu Narayan Mishra is Assistant Professor of Mathematics at Sardar Vallbhbhai National Institute of Technology, Surat (Gujarat), India. He received the Ph.D. degree in Mathematics from Indian Institute of Technology, Roorkee. He is double Gold Medalist in M.Sc. and Gold Medalist in B.Sc. His research interests are in the areas of pure and applied mathematics including Approximation Theory, Summability Theory, Variational inequality, Fixed Point Theory, Operator Theory, Fourier Analysis, Non-linear analysis, Special function, q-series and q-polynomials, signal analysis and Image processing etc. He has published research articles in reputed international journals of mathematical and engineering sciences. He is referee and editor of several international journals in frame of pure and applied Mathematics & applied economics.

Area of Interest:

Mathematics
Approximation Theory
Summability Theory
Pure Mathematics
Operator Theory

Selected Publications

  1. Goyal, S., P. Garg and V.N. Mishra, 2020. New corona and new cluster of graphs and their wiener index. Electron. J. Math. Anal. Applicat., 8: 100-108.
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  2. Das, D., N. Goswami and V.N. Mishra, 2020. Some results on the projective cone normed tensor product spaces over Banach algebras. Boletim da Sociedade Paranaense de Matematica, 38: 197-220.
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  3. Yadav, R., R. Meher and V.N. Mishra, 2019. Quantitative estimations of bivariate summation‐integral–type operators. Math. Methods Applied Sci., 42: 7172-7191.
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  4. Tapiawala, D., G. Uysal and V.N. Mishra, 2019. Recent observations on nonlinear two-parameter singular integral operators. J. Inequalit. Spec. Funct., 10: 1-9.
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  5. Sumana, K.P., L.N. Achala and V.N. Mishra, 2019. Numerical solution of time-delayed Burgers' equations using Haar wavelets. Adv. Stud. Contemp. Math., 29: 411-437.
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  6. Rehman, A.U., G. Farid and V.N. Mishra, 2019. Generalized convex function and associated petrovic’s inequality. Int. J. Anal. Applicat., 17: 122-131.
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  7. Patel, P. and V.N. Mishra, 2019. Some approximation properties of a new class of linear operators. Comput. Math. Methods, Vol. 1. 10.1002/cmm4.1051.
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  8. Pakhira, R., U. Ghosh, S. Sarkar and V.N. Mishra, 2019. Study of memory effect in an economic order quantity model with quadratic type demand rate. PFDA, 25: 71-80.
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  9. Mishra, V.N., S. Delen and I.N. Cangul, 2019. Degree sequences of join and corona products of graphs. Electron. J. Math. Anal. Applied, 7: 5-13.

  10. Mishra, V.N. and S. Pandey, 2019. Certain modiffications of (p, q)-szasz-mirakyan operator. Azerbaijan J. Math., 19: 81-95.
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  11. Mishra, V.N. and R.B. Gandhi, 2019. Direct result for a summation-integral type modification of szAsz–mirakjan operators. Anal. Theory Applicat., 10.4208/ata.OA-2017-0081.
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  12. Mishra, V.N. and P. Sharma, 2019. On approximation properties of generalized Lupaş–Durrmeyer operators with two parameters α and β based on Polya distribution. Boletín de la Sociedad Matematica Mexicana, .
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  13. Mishra, L.N., S. Pandey and V.N. Mishra, 2019. On a class of generalised (p, q) bernstein operators. Indian J. Ind. Applied Math., 10: 220-233.
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  14. Goyal, S., P. Garg and V.N. Mishra, 2019. New composition of graphs and their Wiener Indices. Applied Math. Nonlin. Sci., 4: 175-180.

  15. Goswami, N., N. Haokip and V.N. Mishra, 2019. F-contractive type mappings in b-metric spaces and some related fixed point results. Fixed Point Theory and Applic., .
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  16. Farid, G., A.U. Rehman, V.N. Mishra and S. Mehmood, 2019. Fractional integral inequalities of gruss type via generalized mittag-leffler function. Int. J. Anal. Applicat., 17: 548-558.
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  17. Dubey, R. and V.N. Mishra, 2019. Symmetric duality results for second-order nondifferentiable multiobjective programming problem. RAIRO-Operations Res., 53: 539-558.
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  18. Uysal, G., V.N. Mishra and S.K. Serenbay, 2018. Some weighted approximation properties of nonlinear double integral operators. Korean J. Math., 26: 483-501.
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  19. Mishra, V.N., N. Rajagopal, P. Thirunavukkarasu and N. Subramanian, 2018. The Generalized difference of d(χ3I) of fuzzy real numbers over p metric spaces defined by Musielak Orlicz function. Caspian J. Math. Sci., 10.22080/CJMS.2018.13235.1327.
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  20. Mishra, V.N. and R.B. Gandhi, 2018. Study of sensitivity of parameters of Bernstein-Stancu operators. Iran. J. Sci. Technol., .
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  21. Mishra, L.N., S. Singh and V.N. Mishra, 2018. On integrated and differentiated C_2-sequence spaces. Int. J. Anal. Applicat., 16: 894-903.
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  22. Liu, X.L., M. Zhou, L.N. Mishra, V.N. Mishra and B. Damjanovic, 2018. Common fixed point theorem of six self-mappings in Menger spaces using (CLRST) property. Open Math., 16: 1423-1434.
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  23. Dubey, R., V.N. Mishra and P. Tomar, 2018. Duality relations for second-order programming problem under (G,αf)-bonvexity assumptions. Asian-Eur. J. Math., 10.1142/S1793557120500448.
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  24. Patel, P. and V.N. Mishra, 2015. Approximation properties of certain summation integral type operators. Demonstratio Mathematica, 48: 77-90.
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  25. Mishra, V.N., P. Sharma and M.M. Birou, 2015. Approximation by modified Jain–Baskakov operators. Georgian Math. J., 10.1515/gmj-2019-2008.
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  26. Mishra, V.N. and P. Sharma, 2015. Direct estimates for Durrmeyer-Baskakov-Stancu type operators using hypergeometric representation. J. Fractional Calculus Applic., 6: 1-10.

  27. Patel, P. and V.N. Mishra, 2014. Rate of convergence of modified Baskakov-Durrmeyer type operators for functions of bounded variation. J. Differ. Equat. 10.1155/2014/235480.
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  28. Patel, P. and V.N. Mishra, 2014. Jain-Baskakov operators and its different generalization. Acta Mathematica Vietnamica, (In Press). 10.1007/s40306-014-0077-9.
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  29. Mishra, V.N., and P. Sharma, 2014. A short note on approximation properties of q-Baskakov-Szasz-Stancu operators. Southeast Asian Bull. Math., 38: 857-871.
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  30. Mishra, V.N., K. Khatri, L.N. Mishra and Deepmala, 2014. Trigonometric approximation of periodic signals belonging to generalized weighted Lipschitz W′(Lr,ξ(t)), (r ≥ 1)-class by Norlund-Euler (N, pn)(E, q) operator of conjugate series of its Fourier series. J. Classical Anal., 5: 91-105.
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  31. Mishra, V.N., K. Khatri and L.N. Mishra, 2014. Approximation of functions belonging to the generalized Lipschitz class by C1•Np summability method of conjugate series of Fourier series. Matematicki Vesnik, 66: 155-164.
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  32. Mishra, V.N., H.H. Khan, I.A. Khan and L.N. Mishra, 2014. On the degree of approximation of signals of Lip(α, r), (r ≥ 1)-class by almost Riesz mans of its Fourier series. J. Classical Anal., 4: 79-87.
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  33. Mishra, V.N. and P. Sharma, 2014. Approximation by Szasz-Mirakyan-Baskakov-Stancu operators. Afrika Matematika, (In Press). 10.1007/s13370-014-0288-1.
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  34. Mishra, V.N. and P. Patel, 2014. The Durrmeyer type modification of the q-Baskakov type operators with two parameter α and β. Numer. Algorithms, 67: 753-769.
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  35. Mishra, V.N. and P. Patel, 2014. On generalized integral Bernstein operators based on q-integers. Applied Math. Comput., 242: 931-944.
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  36. Mishra, V.N. and K. Khatri, 2014. Degree of approximation of functions f ∈ Hω class by the (Np•E1) means in the Holder metric. Int. J. Math. Math. Sci. 10.1155/2014/837408.
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  37. Mishra, L.N., V.N. Mishra, K. Khatri and Deepmala, 2014. On the trigonometric approximation of signals belonging to generalized weighted Lipschitz W (Lr, ξ(t))(r ≥ 1)-class by matrix (C1•Np) operator of conjugate series of its Fourier series. Applied Math. Comput., 237: 252-263.
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  38. Gupta, S., U.D. Dalal and V.N. Mishra, 2014. Novel analytical approach of non conventional mapping scheme with discrete hartley transform in OFDM system. Am. J. Operat. Res., 4: 281-292.
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  39. Mishra, V.N., V. Sonavane and L.N. Mishra, 2013. On trigonometric approximation of W(Lp,ξ(t)) (p≥1) function by product (C,1) (E,1) means of its Fourier series. J. Inequalities Applic. 10.1186/1029-242X-2013-300.
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  40. Mishra, V.N., V. Sonavane and L.N. Mishra, 2013. Lr-Approximation of signals (functions) belonging to weighted W(Lr,ξ(t))-class by C1•Np summability method of conjugate series of its Fourier series. J. Inequalities Applic. 10.1186/10.1186/1029-242X-2013-440.
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  41. Mishra, V.N., K. Khatri, L.N. Mishra and Deepmala, 2013. Inverse result in simultaneous approximation by Baskakov-Durrmeyer-Stancu operators. J. Inequalities Applic. 10.1186/1029-242X-2013-586.
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  42. Mishra, V.N., K. Khatri and L.N. Mishra, 2013. Using linear operators to approximate signals of Lip(α, p), (p ≥ 1)-class. Filomat, 27: 353-363.
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  43. Mishra, V.N., K. Khatri and L.N. Mishra, 2013. Statistical approximation by Kantorovich-type discrete q-Beta operators. Adv. Differ. Equat. 10.1186/10.1186/1687-1847-2013-345.
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  44. Mishra, V.N., K. Khatri and L.N. Mishra, 2013. Some approximation properties of q-Baskakov-Beta-Stancu type operators. J. Calculus Variat. 10.1155/2013/814824.
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  45. Mishra, V.N., H.H. Khan, K. Khatri, I.A. Khan and L.N. Mishra, 2013. Approximation of signals by product summability transform. Asian J. Math. Stat., 6: 12-22.
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  46. Mishra, V.N., H.H. Khan, K. Khatri and L.N. Mishra, 2013. Hypergeometric representation for Baskakov-Durrmeyer-Stancu type operators. Bull. Math. Anal. Applic., 5: 18-26.
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  47. Mishra, V.N., H.H. Khan, K. Khatri and L.N. Mishra, 2013. Degree of approximation of conjugate of signals (functions) belonging to the generalized weighted Lipschitz W(Lr,ξ(t)), (r ≥ 1)-class by (C, 1) (E, q) means of conjugate trigonometric Fourier series. Bull. Math. Anal. Applic., 5: 40-53.
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  48. Mishra, V.N., H.H. Khan, I.A. Khan, K. Khatri and L.N. Mishra, 2013. Trigonometric approximation of signals (functions) belonging to the Lip(ξ((t),r),(r＞1)-class by (E,q) (q＞0)-means of the conjugate series of its Fourier series. Adv. Pure Math., 3: 353-358.
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  49. Mishra, V.N., H.H. Khan, I.A. Khan and L.N. Mishra, 2013. Approximation of signals (functions) belonging to Lip(ξ(t), r)-class by C1•Np summability method of conjugate series of its Fourier series. Bull. Math. Anal. Applic., 5: 8-17.
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  50. Mishra, V.N. and P. Patel, 2013. Some approximation properties of modified Jain-Beta operators. J. Calculus Variat. 10.1155/2013/489249.
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  51. Mishra, V.N. and P. Patel, 2013. Approximation properties of q-Baskakov-Durrmeyer-Stancu operators. Math. Sci., Vol. 7. 10.1186/2251-7456-7-38.
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  52. Mishra, V.N. and P. Patel, 2013. Approximation by the Durrmeyer-Baskakov-Stancu operators. Lobachevskii J. Math., 34: 272-281.
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  53. Mishra, V.N. and P. Patel, 2013. A short note on approximation properties of Stancu generalization of q-Durrmeyer operators. Fixed Point Theory Applic. 10.1186/1687-1812-2013-84.
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  54. Mishra, L.N., V.N. Mishra and V. Sonavane, 2013. Trigonometric approximation of functions belonging to Lipschitz class by matrix (C1•Np) operator of conjugate series of Fourier series. Adv. Differ. Equat. 10.1186/1687-1847-2013-127.
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  55. Khan, H.H., V.N. Mishra and I.A. Khan, 2013. An extension of the degree of approximation by Jackson type operators. Int. J. Scient. Eng. Res., 4: 977-1000.
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  56. Husain, S., S. Gupta and V.N. Mishra, 2013. Graph convergence for the H(.,.)-mixed mapping with an application for solving the system of generalized variational inclusions. Fixed Point Theory Applic. 10.1186/1687-1812-2013-304.
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  57. Husain, S., S. Gupta and V.N. Mishra, 2013. Generalized H(⋅, ⋅, ⋅)-η-cocoercive operators and generalized set-valued variational-like inclusions. J. Math. 10.1155/2013/738491.
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  58. Husain, S., S. Gupta and V.N. Mishra, 2013. An existence theorem of solutions for the system of generalized vector quasi-variational-like inequalities. Am. J. Operat. Res., 3: 329-336.
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  59. Mishra, V.N., K. Khatri and L.N. Mishra, 2012. Product summability transform of Conjugate series of Fourier series. Int. J. Math. Math. Sci., 10.1155/2012/298923.
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  60. Mishra, V.N., K. Khatri and L.N. Mishra, 2012. Product (N, pn) (C, 1) summability of a sequence of Fourier coefficients. Math. Sci., Vol. 6, 10.1186/2251-7456-6-38.
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  61. Mishra, V.N., K. Khatri and L.N. Mishra, 2012. On simultaneous approximation for Baskakov-Durrmeyer-Stancu type operators. J. Ultra Scientist Phys. Sci., 24: 567-577.
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  62. Mishra, V.N., K. Khatri and L.N. Mishra, 2012. Approximation of functions belonging to Lip(ξ(t),r) class by (N,pn)(E,q) summability of conjugate series of Fourier series. J. Inequalities Applic. 10.1186/1029-242X-2012-296.
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  63. Mishra, V.N., H.H. Khan, K. Khatri and L.N. Mishra, 2012. On approximation of conjugate of signals (functions) belonging to the generalized weighted W(Lr, ξ(t)), (r≥1)-class by product summability means of conjugate series of Fourier series. Int. J. Math. Anal., 6: 1703-1715.
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  64. Mishra, V.N., H.H. Khan and K. Khatri, 2012. Approximation of signals by product summability transform. Asian J. Math. Stat., .
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  65. Mishra, V.N. and L.N. Mishra, 2012. Trigonometric approximation of signals (functions) in Lp-norm. Int. J. Contemp. Math. Sci., 7: 909-918.
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  66. Mishra, V.N., H.H. Khan and K. Khatri, 2011. Degree of approximation of conjugate of signals (functions) by lower triangular matrix operator. Applied Math., 2: 1448-1452.
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  67. Mishra, V.N., 2010. On the degree of approximation of signals (Functions) belonging to generalized weighted W(Lp, ξ(t)), (p≥1)-class by product summability method. J. Int. Acad. Phys. Sci., 14: 413-423.

  68. Mishra, V.N., 2010. On the Degree of Approximation of Conjugate of Signals (Functions) Belonging to the Generalized Weighted W(Lp, ξ(t), (p≥1))-Class by Lower Triangular Matrix Means. In: Proceedings of the International Conference on Challenges and Applications of Mathematics in Science and Technology, Chakraverty, S. (Ed.). Macmillan Publishers India Ltd., India.

  69. Mishra, V.N., 2009. On the Degree of Approximation of signals (functions) belonging to Generalized Weighted W(LP, ξ(t)), (p ≥ 1)-Class by almost matrix summability method of its conjugate Fourier series. Int. J. Applied Math. Mech., 5: 16-27.

  70. Mittal, M.L. and V.N. Mishra, 2008. Approximation of Signals (functions) belonging to the weighted W(Lp, &xi:(t)), (p≥1)-class by almost matrix summability method of its fourier series. Int. J. of Math. Sci. Engg. Appls., 2: 285-294.
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  71. Mittal, M.L., U. Singh and V.N. Mishra, 2007. On the strong Norlund summability of conjugate Fourier series. Applied Math. Computat., 187: 326-331.
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  72. Mittal, M.L., U. Singh and V.N. Mishra, 2006. Approximation of signals (functions) belonging to the weighted (Lp, ξ(t))-class by Norlund means. Varahmihir J. Math. Sci. India, 6: 383-392.

  73. Mittal, M.L., B.E. Rhoades and V.N. Mishra, 2006. Approximation of signals (functions) belonging to the weighted W(Lp,ξ(t)),(p≥1)-class by linear operators. Int. J. Math. Math. Sci., 10.1155/IJMMS/2006/53538.
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  74. Mishra, V.N., M.L. Mittal and U. Singh, 2006. On best approximation in locally convex space. Varahmihir J. Math. Sci. India, 6: 43-48.

  75. Mittal, M.L., U. Singh, V.N. Mishra, S. Priti and S.S. Mittal, 2005. Approximation of functions (signals) belonging to Lip(ξ(t), p)- class by means of conjugate Fourier series using linear operators. Indian J. Math., 47: 217-229.
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