Sharp fractional integral inequalities for generalized logarithmic Godunova-Levin functions via Riemann-Liouville operators

Authors

  • Hijaz Ahmad
    Irfan Suat Günsel Operational Research Institute, Near East University, Nicosia/TRNC, Mersin 10, 99138, Turkey;
    Department of Mathematics, College of Science, Korea University, 145 Anam-ro, Seongbuk-gu, Seoul 02841, South Korea
  • Waqar Afzal
    Abdus Salam School of Mathematical Sciences, Government College University, Lahore 54000, Pakistan;
    Center for Theoretical Physics, Khazar University, 41 Mehseti Str., Baku, AZ1096, Azerbaijan;
    International Center for Interdisciplinary Research in Sciences, The University of Lahore, Lahore 54792, Pakistan
  • Mujahid Abbas
    Department of Mechanical Engineering Science, Faculty of Engineering and the Built Environment, University of Johannesburg, Johannesburg 2092, South Africa;
    Department of Medical Research, China Medical University, Taichung 40447, Taiwan
  • Muhammad Tariq
    Mathematics Research Center, Near East University, Near East Boulevard, Nicosia, Mersin, 99138, Turkey
  • Jorge E. Macías-Díaz
    Department of Mathematics and Physics, Autonomous University of Aguascalientes, Aguascalientes 20100, Mexico;
    Department of Mathematics and Didactics of Mathematics, Tallinn University, Tallinn 10120, Estonia

Keywords:

Generalized logarithmic Godunova-Levin mappings, Hermite-Hadamard inequalities, Jensen-type inequalities, Riemann-Liouville fractional integrals, Interval-valued functions

Abstract

We introduce a new class of generalized logarithmic Godunova-Levin interval-valued mappings and establish weighted Hermite-Hadamard and Jensen-type inequalities via Riemann-Liouville fractional integrals. Results for real-valued mappings follow as special cases, along with recovery of several known inequalities. Illustrative examples with tabular numerical validation confirm the theoretical findings.

Dimensions

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T1

Published

2026-09-22

How to Cite

Sharp fractional integral inequalities for generalized logarithmic Godunova-Levin functions via Riemann-Liouville operators. (2026). African Scientific Reports, 5(3), 553. https://doi.org/10.46481/asr.2026.5.3.553

Issue

Volume 5, Issue 3, December 2026 (In progress)

Section

MATHEMATICS AND STATISTICS SECTION
Copyright & Licensing

Copyright (c) 2026 Hijaz Ahmad, Waqar Afzal, Mujahid Abbas, Muhammad Tariq, Jorge E. Macías-Díaz

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Sharp fractional integral inequalities for generalized logarithmic Godunova-Levin functions via Riemann-Liouville operators. (2026). African Scientific Reports, 5(3), 553. https://doi.org/10.46481/asr.2026.5.3.553

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