Differences of classical and modified operators-Reference-Cited by-同舟云学术

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Differences of classical and modified operators

Published:2021-06-01 Issue:1 Volume:29 Page:3-12
ISSN:1584-3289
Container-title:General Mathematics
language:en
Short-container-title:

Author:

Dancs Mădălina¹

Affiliation:

1. Technical University of Cluj-Napoca , Faculty of Automation and Computer Science, Department of Mathematics , Str. Memorandumului, No. 28 , Cluj-Napoca , Romania

Abstract

Abstract We are concerned with a family of Markov operators and some modifications of them. Differences involving such operators are studied. We compare their Voronovskaya formulas and determine the limits of their iterates.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/gm-2021-0001

Reference13 articles.

1. [1] A.M. Acu, G. Bascanbaz-Tunca, I. Raşa, Differences of positive linear operators on simplices, J Funct Space, Volume 2021, Article ID 5531577.10.1155/2021/5531577

2. [2] A.M. Acu, M. Heilmann, I Rasa, Eigenstructure and iterates for uniquely ergodic Kantorovich modifications of operators II, Positivity (2021). https://doi.org/10.1007/s11117-021-00832-710.1007/s11117-021-00832-7

3. [3] A.M. Acu, I. Raşa, Iterates and invariant measures for Markov operators, submitted.

4. [4] J.M. Aldaz, O. Kounchev and H. Render, Shape preserving properties of generalized Bernstein operators on extended Chebyshev spaces, Numer Math, 114(1), 2009.10.1007/s00211-009-0248-0

5. [5] F. Altomare, M. Cappelletti Montano, V. Leonessa, I. Raşa, A generalization of Kantorovich operators for convex compact subsets, Banach J. Math. Anal., 11(3) (2017), 591-614.10.1215/17358787-2017-0008

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