Refinements of some fractional integral inequalities for refined (α, <i>h</i> - <i>m</i>)-convex function
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초록

This article investigates new inequalities for generalized Riemann-Liouville fractional integrals via the refined (alpha, h - m)-convex function. The established results give refinements of fractional integral inequalities for (h - m)-convex, (alpha, m)-convex, (s, m)-convex, and related functions. Also, the k-fractional versions of given inequalities by using a parameter substitution are provided.

키워드

Refined (alpha, h - m)-convex functionRefined (h - m)-convex functionHermite-Hadamard inequalityRiemann-Liouville fractional integralsHADAMARD TYPE INEQUALITIESHERMITE-HADAMARDCONVEX-FUNCTIONS
제목
Refinements of some fractional integral inequalities for refined (α, <i>h</i> - <i>m</i>)-convex function
저자
Jung, Chahn YongFarid, GhulamYasmeen, HafsaLv, Yu-PeiPecaric, Josip
DOI
10.1186/s13662-021-03544-0
발행일
2021-08
유형
Article
저널명
Advances in Difference Equations
2021
1