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

Share this Profile

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.
    Direct Link  |  

  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.
    CrossRef  |  Direct Link  |  

  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.
    CrossRef  |  Direct Link  |  

  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.
    Direct Link  |  

  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.
    Direct Link  |  

  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.
    Direct Link  |  

  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.
    CrossRef  |  Direct Link  |  

  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.
    Direct Link  |  

  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.
    Direct Link  |  

  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.
    CrossRef  |  Direct Link  |  

  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, .
    Direct Link  |  

  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.
    Direct Link  |  

  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., .
    Direct Link  |  

  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.
    Direct Link  |  

  17. Dubey, R. and V.N. Mishra, 2019. Symmetric duality results for second-order nondifferentiable multiobjective programming problem. RAIRO-Operations Res., 53: 539-558.
    CrossRef  |  Direct Link  |  

  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.
    CrossRef  |  Direct Link  |  

  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.
    CrossRef  |  Direct Link  |  

  20. Mishra, V.N. and R.B. Gandhi, 2018. Study of sensitivity of parameters of Bernstein-Stancu operators. Iran. J. Sci. Technol., .
    Direct Link  |  

  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.
    Direct Link  |  

  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.
    CrossRef  |  Direct Link  |  

  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.
    CrossRef  |  Direct Link  |  

  24. Patel, P. and V.N. Mishra, 2015. Approximation properties of certain summation integral type operators. Demonstratio Mathematica, 48: 77-90.
    Direct Link  |  

  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.
    CrossRef  |  Direct Link  |  

  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.
    CrossRef  |  Direct Link  |  

  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.
    CrossRef  |  Direct Link  |  

  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.
    Direct Link  |  

  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.
    CrossRef  |  

  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.
    Direct Link  |  

  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.
    CrossRef  |  Direct Link  |  

  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.
    CrossRef  |  Direct Link  |  

  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.
    CrossRef  |  Direct Link  |  

  35. Mishra, V.N. and P. Patel, 2014. On generalized integral Bernstein operators based on q-integers. Applied Math. Comput., 242: 931-944.
    CrossRef  |  Direct Link  |  

  36. Mishra, V.N. and K. Khatri, 2014. Degree of approximation of functions fHω class by the (Np•E1) means in the Holder metric. Int. J. Math. Math. Sci. 10.1155/2014/837408.
    CrossRef  |  Direct Link  |  

  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.
    CrossRef  |  Direct Link  |  

  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.
    CrossRef  |  

  39. Mishra, V.N., V. Sonavane and L.N. Mishra, 2013. On trigonometric approximation of W(Lp(t)) (p≥1) function by product (C,1) (E,1) means of its Fourier series. J. Inequalities Applic. 10.1186/1029-242X-2013-300.
    CrossRef  |  Direct Link  |  

  40. Mishra, V.N., V. Sonavane and L.N. Mishra, 2013. Lr-Approximation of signals (functions) belonging to weighted W(Lr(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.
    CrossRef  |  Direct Link  |  

  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.
    CrossRef  |  Direct Link  |  

  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.
    CrossRef  |  Direct Link  |  

  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.
    CrossRef  |  Direct Link  |  

  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.
    CrossRef  |  Direct Link  |  

  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.
    CrossRef  |  Direct Link  |  

  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.
    Direct Link  |  

  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.
    Direct Link  |  

  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.
    CrossRef  |  Direct Link  |  

  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.
    Direct Link  |  

  50. Mishra, V.N. and P. Patel, 2013. Some approximation properties of modified Jain-Beta operators. J. Calculus Variat. 10.1155/2013/489249.
    CrossRef  |  Direct Link  |  

  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.
    CrossRef  |  Direct Link  |  

  52. Mishra, V.N. and P. Patel, 2013. Approximation by the Durrmeyer-Baskakov-Stancu operators. Lobachevskii J. Math., 34: 272-281.
    CrossRef  |  Direct Link  |  

  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.
    CrossRef  |  Direct Link  |  

  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.
    CrossRef  |  Direct Link  |  

  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.
    Direct Link  |  

  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.
    CrossRef  |  Direct Link  |  

  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.
    CrossRef  |  Direct Link  |  

  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.
    CrossRef  |  Direct Link  |  

  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.
    CrossRef  |  Direct Link  |  

  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.
    CrossRef  |  Direct Link  |  

  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.
    Direct Link  |  

  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.
    CrossRef  |  Direct Link  |  

  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.
    Direct Link  |  

  64. Mishra, V.N., H.H. Khan and K. Khatri, 2012. Approximation of signals by product summability transform. Asian J. Math. Stat., .
    Direct Link  |  

  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.
    Direct Link  |  

  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.
    Direct Link  |  

  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.
    Direct Link  |  

  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.
    CrossRef  |  Direct Link  |  

  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.
    CrossRef  |  Direct Link  |  

  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.