A note on the remainder in the approximation of functions by some positive linear operators-Reference-Cited by-同舟云学术

A note on the remainder in the approximation of functions by some positive linear operators

Published:2023-10-06 Issue:5 Volume:27 Page:
ISSN:1385-1292
Container-title:Positivity
language:en
Short-container-title:Positivity

Author:

Birou Marius-Mihai^ORCID

Abstract

AbstractIn this note we give representations for the remainder in approximations formulas generated by positive linear operators which preserve some functions including linear functions. We show that in these cases the Peano kernel from the integral representation of the remainder has the same sign on the definition domain. Applications to the iterates of some positive linear operators and quadrature formulas are given.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics,Theoretical Computer Science,Analysis

Link

https://link.springer.com/content/pdf/10.1007/s11117-023-01014-3.pdf

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