Eigenstructure and Voronovskaja type formula for a sequence of integral operators

Gabriela Motronea; Ancuţa Emilia Steopoaie

doi:10.2478/gm-2022-0012

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Eigenstructure and Voronovskaja type formula for a sequence of integral operators

General Mathematics

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

By: Gabriela Motronea and Ancuţa Emilia Steopoaie

Open Access

|Nov 2023

Abstract

The composition ℱ_nof Rathore and Gamma operators was considered in the literature. We introduce a generalization of ℱ_n. For it we determine the eigenstructure and establish the corresponding Voronovskaja type formula.

References

A. M. Acu, F. Sofonea, I. Rasa, Composition of some positive linear integral operators, (submitted).
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A. M. Acu, I. Raşa, Andra Seserman, Composition and decomposition of positive linear operators, (VIII), Axioms 2023, 12, 228.
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Z. Ditzian, V. Totik, Moduli of Smoothness, Springer, New York, 1987.
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R. K. S. Rathore, Linear combinations of linear positive operators and generating relations on special functions, Ph. D. Thesis, Delhi, 1973.
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F. Sofonea, On a sequence of linear and positive operators, General Mathematics, vol. 16, no. 4, 2008, 155-165.
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P. C. Sikkema, On some linear positive operators, Indag. Math., vol. 32, 1970, 327-337.
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Articles in this issue

DOI: https://doi.org/10.2478/gm-2022-0012 | Journal eISSN: 1584-3289 | Journal ISSN: 1221-5023

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Language: English

Page range: 29 - 34

Submitted on: Nov 5, 2022

Accepted on: Dec 10, 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,

eigenstructure,

Voronovskaja type formula

Related subjects:

Mathematics,

Differential equations and dynamical systems,

Probability and statistics,

Numerical and computational mathematics,

Applied mathematics

© 2023 Gabriela Motronea, Ancuţa Emilia Steopoaie, published by Lucian Blaga University of Sibiu
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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