On Rathore type operators

Buşcu, Ioan Cristian; Paşca, Vlad; Seserman, Andra

doi:10.2478/gm-2022-0013

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On Rathore type operators

General Mathematics

Volume 30 (2022): Issue 2 (December 2022)

By: Ioan Cristian Buşcu, Vlad Paşca and Andra Seserman

Open Access

|Nov 2023

Abstract

V. Gupta introduced recently the Rathore type operators R_n,c. For them we obtain Voronovskaja type results. We extend the classical Szász-Mirakjan operator and compare the extension with R_n,c.

References

U. Abel, V. Gupta, The rate of convergence of a generalization of Post-Widder operators and Rathore operators, communicated, 2022.
Search in Google Scholar Back to article
A. M. Acu, I. Rasa, F. Sofonea, Composition of some positive linear integral operators, (submitted).
Search in Google Scholar Back to article
Z. Ditzian, V. Totik, Moduli of Smoothness, Springer, New York, 1987.
Search in Google Scholar Back to article
V. Gupta, A form of Gamma operator due to Rathore, Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat. 117, 81, 2023.
Search in Google Scholar Back to article
V. Gupta, M. Th. Rassias, Moments of Linear Positive Operators and Approximation, Springer Briefs in Mathematics Series, Springer Nature, Switzerland, 2019.
Search in Google Scholar Back to article
V. Gupta, G. Tachev, Approximation with Positive Linear Operators and Linear Combinations, Springer, 2017.
Search in Google Scholar Back to article
G. M. Mirakjan, Approximation of continuous functions with the aid of polynomials, (Russian), Dokl. Akad. Nauk SSSR, 31, 1941, 201-205.
Search in Google Scholar Back to article
R. K. S. Rathore, Linear combinations of linear positive operators and generating relations on special functions, Ph. D. Thesis, Delhi, 1973.
Search in Google Scholar Back to article
P. C. Sikkema, On some linear positive operators, Indag. Math., vol. 32, 1970, 327-337.
Search in Google Scholar Back to article
F. Sofonea, On a sequence of linear and positive operators, General Mathematics, vol. 16, no. 4, 2008, 155-165.
Search in Google Scholar Back to article
O. Szász, Generalization of S. Bernstein’s polynomials to the infinite interval, J. Res. Nat. Bur. Standards, vol. 45, 1950, 239-245.
Search in Google Scholar Back to article

DOI: https://doi.org/10.2478/gm-2022-0013 | Journal eISSN: 1584-3289 | Journal ISSN: 1221-5023

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Language: English

Page range: 35 - 39

Submitted on: Oct 23, 2022

Accepted on: Dec 7, 2022

Published on: Nov 24, 2023

Published by: Lucian Blaga University of Sibiu

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

integral operators,

composition,

Voronovskaja type formula

Related subjects:

Mathematics,

Differential equations and dynamical systems,

Probability and statistics,

Numerical and computational mathematics,

Applied mathematics

© 2023 Ioan Cristian Buşcu, Vlad Paşca, Andra Seserman, published by Lucian Blaga University of Sibiu
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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