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 function; Hermite-Hadamard inequality; Riemann-Liouville fractional integrals
제목
ON RIEMANN-LIOUVILLE INTEGRAL INEQUALITIES VIA QUASI CONVEX WITH RESPECT TO STRICTLY MONOTONE FUNCTIONS
저자
Taha, Hala H.; Farid, Ghulam; Pečarić, Josip; Ro, Jongsuk; Hassaballa, Abaker A.
DOI
10.11948/20250152
발행일
2026-04
유형
Article
저널명
Journal of Applied Analysis and Computation
권
16
호
2
페이지
794 ~ 806