Eigenstructure and Voronovskaja type formula for a sequence of integral operators-Reference-Cited by-同舟云学术

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Eigenstructure and Voronovskaja type formula for a sequence of integral operators

Published:2022-12-01 Issue:2 Volume:30 Page:29-34
ISSN:1584-3289
Container-title:General Mathematics
language:en
Short-container-title:

Author:

Motronea Gabriela¹,Steopoaie Ancuţa Emilia²

Affiliation:

1. 1 Technical University of Cluj-Napoca , Faculty of Automation and Computer Science Department of Mathematics , Str. Memorandumului nr. 28, 400114 Cluj-Napoca , Romania

2. 2 Technical University of Cluj-Napoca Faculty of Automation and Computer Science Department of Mathematics , Str. Memorandumului nr. 28, 400114 Cluj-Napoca , Romania

Abstract

Abstract The composition ℱ n of 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.

Publisher

Walter de Gruyter GmbH

Subject

General Medicine

Link

https://www.sciendo.com/pdf/10.2478/gm-2022-0012

Reference6 articles.

1. A. M. Acu, F. Sofonea, I. Rasa, Composition of some positive linear integral operators, (submitted).

2. A. M. Acu, I. Raşa, Andra Seserman, Composition and decomposition of positive linear operators, (VIII), Axioms 2023, 12, 228.

3. Z. Ditzian, V. Totik, Moduli of Smoothness, Springer, New York, 1987.

4. R. K. S. Rathore, Linear combinations of linear positive operators and generating relations on special functions, Ph. D. Thesis, Delhi, 1973.

5. F. Sofonea, On a sequence of linear and positive operators, General Mathematics, vol. 16, no. 4, 2008, 155-165.

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