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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2022, Volume 25, Number 2, Pages 209–225
DOI: https://doi.org/10.15372/SJNM20220208 (Mi sjvm806) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Approximation properties by some modified Szasz-Mirakjan-Kantorovich operators

R. Yadava, R. Mehera, V. N. Mishrab

a Applied Mathematics and Humanities Department, Sardar Vallabhbhai National Institute of Technology Surat, Surat-395 007 (Gujarat), India
b Department of Mathematics, Indira Gandhi National Tribal University, Lalpur, Amarkantak-484 887, Anuppur, Madhya Pradesh, India
Full-text PDF (661 kB) Citations (1) English version article
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DOI: https://doi.org/10.15372/SJNM20220208
Abstract: The present article deals with approximation results by means of the Lipschitz maximal function, Ditzian-Totik modulus of smoothness, and Lipschitz type space having two parameters for the summation-integral type operators defined by Mishra and Yadav [22]. Further, we determine the rate of convergence in terms of the derivative of bounded variation. To estimate the quantitative results of the defined operators, we establish quantitative Voronovskaya type and Gruss type theorems. Moreover; examples are given with graphical representation to support the main results.
Key words: rate of convergence, Lipschitz function, Ditzian-Totik modulus of smoothness, function of bounded variation.
Received: 04.09.2021
Revised: 18.10.2021
Accepted: 27.01.2022
English version:
Numerical Analysis and Applications, 2022, Volume 15, Issue 2, Pages 170–185
DOI: https://doi.org/10.1134/S1995423922020082
Document Type: Article
MSC: 41A25, 41A35, 41A36
Language: Russian
Citation: R. Yadav, R. Meher, V. N. Mishra, “Approximation properties by some modified Szasz-Mirakjan-Kantorovich operators”, Sib. Zh. Vychisl. Mat., 25:2 (2022), 209–225; Num. Anal. Appl., 15:2 (2022), 170–185
Citation in format AMSBIB
\Bibitem{YadMehMis22}
\by R.~Yadav, R.~Meher, V.~N.~Mishra
\paper Approximation properties by some modified Szasz-Mirakjan-Kantorovich operators
\jour Sib. Zh. Vychisl. Mat.
\yr 2022
\vol 25
\issue 2
\pages 209--225
\mathnet{http://mi.mathnet.ru/sjvm806}
\crossref{https://doi.org/10.15372/SJNM20220208}
\transl
\jour Num. Anal. Appl.
\yr 2022
\vol 15
\issue 2
\pages 170--185
\crossref{https://doi.org/10.1134/S1995423922020082}
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