On a general approach to some problems of approximation of operators-Reference-Cited by-同舟云学术

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On a general approach to some problems of approximation of operators

Published:2023-12-20 Issue:4 Volume:20 Page:544-556
ISSN:1810-3200
Container-title:Ukrainian Mathematical Bulletin
language:uk
Short-container-title:UMB

Author:

Kovalenko Oleg¹

Affiliation:

1. Department of Mathematical Analysis and Optimization, Oles Honchar Dnipro National University, Dnipro, Ukraine

Abstract

In the article we propose a general scheme for solutions of some approximation problems under a rather general setting. We illustrate the application of the proposed scheme by a series of examples, in particular we show that many results in the area of Ostrowski type inequalities can be obtained by standard arguments.

Publisher

Institute of Applied Mathematics and Mechanics of the National Academy of Sciences of Ukraine

Subject

Ocean Engineering

Reference14 articles.

1. Dragomir, S. S. (2017). Ostrowski type inequalities for Lebesgue integral: a survey of recent results. Australian J. Math. Anal. Appl., 14 (1), 1–287.

2. Babenko, V., Babenko, V., Kovalenko, O. (2021). Fixed points theorems in Hausdorff M-distance spaces. arXiv:2111.13625.

3. Karlin, S. (1968). Total Positivity, V. 1 in Total Positivity. Stanford University Press.

4. Fink, A.M. (1992). Bounds on the deviation of a function from its averages. Czechoslov. Math. J., 42, 289–310.

5. Anastassiou, G.A. (1995). Ostrowski type inequalities. Proc. AMS, 123, 3775–3791.

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