ON RIEMANN-LIOUVILLE INTEGRAL INEQUALITIES VIA QUASI CONVEX WITH RESPECT TO STRICTLY MONOTONE FUNCTIONS

Hala H. Taha; Ghulam Farid; Josip Pečarić; Jongsuk Ro; Abaker A. Hassaballa

doi:10.11948/20250152

2026 Volume 16 Issue 2

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Hala H. Taha, Ghulam Farid, Josip Pečarić, Jongsuk Ro, Abaker A. Hassaballa. ON RIEMANN-LIOUVILLE INTEGRAL INEQUALITIES VIA QUASI CONVEX WITH RESPECT TO STRICTLY MONOTONE FUNCTIONS[J]. Journal of Applied Analysis & Computation, 2026, 16(2): 794-806. doi: 10.11948/20250152

Citation:

Hala H. Taha, Ghulam Farid, Josip Pečarić, Jongsuk Ro, Abaker A. Hassaballa. ON RIEMANN-LIOUVILLE INTEGRAL INEQUALITIES VIA QUASI CONVEX WITH RESPECT TO STRICTLY MONOTONE FUNCTIONS[J]. Journal of Applied Analysis & Computation, 2026, 16(2): 794-806. doi: 10.11948/20250152

ON RIEMANN-LIOUVILLE INTEGRAL INEQUALITIES VIA QUASI CONVEX WITH RESPECT TO STRICTLY MONOTONE FUNCTIONS

1.
Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia
2.
Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Lahore 54000, Pakistan
3.
Croatian Academy of Sciences and Arts, Zagreb, Croatia
4.
School of Electrical and Electronics Engineering, Chung-Ang University, Dongjak-Gu, Seoul 06974, Republic of Korea
5.
Department of Intelligent Energy and Industry, Chung-Ang University, Dongjak-Gu, Seoul 06974, Republic of Korea
6.
Department of Mathematics, Faculty of Science, Northern Border University, Arar 91431, Saudi Arabia
7.
Center for Scientific Research and Entrepreneurship, Northern Border University, Arar 73213, Saudi Arabia

Author Bio: Email: hhtaha@pnu.edu.sa(H. H. Taha); Email: faridphdsms@outlook.com(G. Farid); Email: jopecaric@gmail.com(J. Pečarić); Email: abaker.abdalla@nbu.edu.sa(A. A. Hassaballa)
Corresponding author: Email: jsro@cau.ac.kr(J. Ro)
Fund Project: The research work of fourth author was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT) (No. NRF-2022R1A2C2004874) and the Korea Institute of Energy Technology Evaluation and Planning (KETEP) and the Ministry of Trade, Industry Energy (MOTIE) of the Republic of Korea (No. 20214000000280). This work was supported by Princess Nourah bint Abdulrahman University Researchers Supporting Project number (PNURSP2025R899), Princess Nourah bint Abdulrahman University, Riyadh, Saudi Arabia & The authors extend their appreciation to Northern Border University, Saudi Arabia, for supporting this work through project number (NBU-CRP-2025-1266)

Abstract

Abstract

This paper aims to present new estimates of generalized Riemann-Liouville (RL)fractional integrals via an increasing function. A new class of functions containing severalconvexities is considered in establishing fractional integral inequalities. Some special casesare deduced by considering specific functions. Also, a Hermite-Hadamard inequality is provedfor RL fractional integrals of Ξ − (h, ϑ; α)-convex function.
- Convex function /
- Riemann-Liouville fractional integrals /
- Hermite-Hadamard inequality
MSC: 26A51, 26D10, 26D15, 26A33

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