Convexity with respect to strictly monotone function and Riemann-Liouville fractional Fejer-Hadamard inequalities
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초록

In this paper we study the Fejer-Hadamard inequalities for convex function with respect to a strictly monotone function. We establish two inequalities for convex function with respect to a strictly monotone function via Riemann-Liouville fractional integrals. From inequalities found here many new results can be derived by selecting specific strictly monotone and weight functions. Also a variety of existing Fejer-Hadamard and Hadamard inequalities can be reproduced.

키워드

Fejer-Hadamard inequalityconvex functionmonotone functionRiemann-Liouville fractional integrals
제목
Convexity with respect to strictly monotone function and Riemann-Liouville fractional Fejer-Hadamard inequalities
저자
Zhou, Shuang-ShuangFarid, GhulamJung, Chahn Yong
DOI
10.3934/math.2021409
발행일
2021-07
유형
Article
저널명
AIMS MATHEMATICS
6
7
페이지
6975 ~ 6985