General form of $(\lambda,\varphi)$-additive operators on spaces of $L$-space-valued functions

The goal of the article is to characterize continuous $(\lambda,\varphi)$-additive operators acting on measurable bounded functions with values in $L$-spaces. As an application, we prove a sharp Ostrowski type inequality for such operators.

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Bibliographic Details
Published in:Researches in mathematics (Online) 2022-07, Vol.30 (1), p.3-9
Main Authors: Babenko, V.F., Babenko, V.V., Kovalenko, O.V., Parfinovych, N.V.
Format: Article
Language:English
Subjects:
l$-space
lambda
varphi)$-additive operator
Online Access:Get full text
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Description
Summary:The goal of the article is to characterize continuous $(\lambda,\varphi)$-additive operators acting on measurable bounded functions with values in $L$-spaces. As an application, we prove a sharp Ostrowski type inequality for such operators.
ISSN:2664-4991
2664-5009
DOI:10.15421/242201