Inequalities for a Unified Integral Operator for Strongly (α, <i>m</i>)-Convex Function and Related Results in Fractional Calculus
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초록

In this paper, we study integral inequalities which will provide refinements of bounds of unified integral operators established for convex and (alpha, m)-convex functions. A new definition of function, namely, strongly (alpha, m)-convex function is applied in different forms and an extended Mittag-Leffler function is utilized to get the required results. Moreover, the obtained results in special cases give refinements of fractional integral inequalities published in this decade.

키워드

HERMITE-HADAMARDEXTENSION
제목
Inequalities for a Unified Integral Operator for Strongly (α, <i>m</i>)-Convex Function and Related Results in Fractional Calculus
저자
Jung, Chahn YongFarid, GhulamMahreen, KahkashanShim, Soo Hak
DOI
10.1155/2021/6610836
발행일
2021-03
유형
Article
저널명
Journal of Function Spaces
2021