<i>k</i>-fractional integral inequalities of Hadamard type for exponentially (<i>s</i>, <i>m</i>)-convex functions

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초록

The aim of this article is to present fractional versions of the Hadamard type inequalities for exponentially (s, m)-convex functions via k-analogue of Riemann-Liouville fractional integrals. The results provide generalizations of various known fractional integral inequalities. Some special cases are analyzed in the form of corollaries and remarks.

키워드

convex functions; Hadamard inequality; Riemann-Liouville fractional integral operators
제목
<i>k</i>-fractional integral inequalities of Hadamard type for exponentially (<i>s</i>, <i>m</i>)-convex functions
저자
Rehman, Atiq Ur; Farid, Ghulam; Bibi, Sidra; Jung, Chahn Yong; Kang, Shin Min
DOI
10.3934/math.2021052
발행일
2021-01
유형
Article
저널명
AIMS MATHEMATICS
권
6
호
1
페이지
882 ~ 892