Convex Inequalities and Functional Space with the Convex Semi-Norm-Reference-Cited by-同舟云学术

Convex Inequalities and Functional Space with the Convex Semi-Norm

Published:2022-01-03 Issue: Volume:8 Page:66-73
ISSN:2313-0571
Container-title:International Journal of Pure Mathematics
language:en
Short-container-title:

Author:

Yaremenko Mykola¹

Affiliation:

1. Department Differential Equations National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute", Kyiv, Ukraine

Abstract

In this article, we establish new characterizations of convex functions, prove some connected convex type integral inequality; consider the pair of convex functions as the dual semi-norms in functional space. The properties of the integral operators are considered in the scales of the convex semi-norm under the standard conditions on singular kernels.

Publisher

North Atlantic University Union (NAUN)

Subject

General Medicine

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