ON RIEMANN-LIOUVILLE INTEGRAL INEQUALITIES VIA QUASI CONVEX WITH RESPECT TO STRICTLY MONOTONE FUNCTIONS
  • Taha, Hala H.
  • Farid, Ghulam
  • Pečarić, Josip
  • Ro, Jongsuk
  • Hassaballa, Abaker A.
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초록

This paper aims to present new estimates of generalized Riemann-Liouville (RL) fractional integrals via an increasing function. A new class of functions containing several convexities is considered in establishing fractional integral inequalities. Some special cases are deduced by considering specific functions. Also, a Hermite-Hadamard inequality is proved for RL fractional integrals of Ξ − (h, ϑ; α)-convex function.

키워드

Convex functionHermite-Hadamard inequalityRiemann-Liouville fractional integrals
제목
ON RIEMANN-LIOUVILLE INTEGRAL INEQUALITIES VIA QUASI CONVEX WITH RESPECT TO STRICTLY MONOTONE FUNCTIONS
저자
Taha, Hala H.Farid, GhulamPečarić, JosipRo, JongsukHassaballa, Abaker A.
DOI
10.11948/20250152
발행일
2026-04
유형
Article
저널명
Journal of Applied Analysis and Computation
16
2
페이지
794 ~ 806