Refinements of Some Integral Inequalities for (s, m)-Convex Functions

Refinements of Some Integral Inequalities for (<i>s</i>, <i>m</i>)-Convex Functions
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초록

In this paper, the refinements of integral inequalities for all those types of convex functions are given which can be obtained from (s,m)-convex functions. These inequalities not only provide refinements of bounds for unified integral operators but also for various associated fractional integral operators containing Mittag-Leffler function. At the same time, presented results give generalizations of many known fractional integral inequalities.

키워드

MITTAG-LEFFLER FUNCTION; HERMITE-HADAMARD; FRACTIONAL INTEGRALS; BOUNDS; OPERATORS
제목
Refinements of Some Integral Inequalities for (s, m)-Convex Functions
제목 (타언어)
Refinements of Some Integral Inequalities for (<i>s</i>, <i>m</i>)-Convex Functions
저자
Farid, Ghulam; Chu, Yu-Ming; Andric, Maja; Jung, Chahn Yong; Pecaric, Josip; Kang, Shin Min
DOI
10.1155/2020/8878342
발행일
2020-11
유형
Article
저널명
Mathematical Problems in Engineering
권
2020