A STUDY OF FRACTIONAL HERMITE–HADAMARD–MERCER INEQUALITIES FOR DIFFERENTIABLE FUNCTIONS-Reference-Cited by-同舟云学术

A STUDY OF FRACTIONAL HERMITE–HADAMARD–MERCER INEQUALITIES FOR DIFFERENTIABLE FUNCTIONS

Published:2024-01-18 Issue: Volume: Page:
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

SITTHIWIRATTHAM THANIN¹^ORCID,VIVAS-CORTEZ MIGUEL²^ORCID,ALI MUHAMMAD AAMIR³^ORCID,BUDAK HÜSEYIN⁴^ORCID,AVCI İBRAHIM⁵^ORCID

Affiliation:

1. Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok 10300, Thailand

2. School of Physical and Mathematical Sciences, Faculty of Exact and Natural Sciences, Pontifical Catholic University of Ecuador, Av. 12 October 1076, Section, Quito 17-01-2184, Ecuador

3. Jiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Nanjing, P. R. China

4. Department of Mathematics, Faculty of Science and Arts, Düzce University, Düzce, Turkey

5. Department of Computer Engineering, Faculty of Engineering, Final International University, Kyrenia, Northern Cyprus, via Mersin 10, Turkey

Abstract

In this work, we prove a parameterized fractional integral identity involving differentiable functions. Then, we use the newly established identity to establish some new parameterized fractional Hermite–Hadamard–Mercer-type inequalities for differentiable function. The main benefit of the newly established inequalities is that these inequalities can be converted into some new Mercer inequalities of midpoint type, trapezoidal type, and Simpson’s type for differentiable functions. Finally, we show the validation of the results with the help of some mathematical examples and their graphs.

Funder

Human Resources and Institutional Development, Research, and Innovation

Pontifical Catholic University of Ecuador Project

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Geometry and Topology,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X24400164

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. The multi-parameterized integral inequalities for multiplicative Riemann–Liouville fractional integrals;Journal of Mathematical Analysis and Applications;2025-01

2. On New Generalized Hermite–Hadamard–Mercer-Type Inequalities for Raina Functions;Fractal and Fractional;2024-08-13

3. Hermite–Hadamard–Mercer-Type Inequalities for Three-Times Differentiable Functions;Axioms;2024-06-19

4. Harmonic conformable refinements of Hermite-Hadamard Mercer inequalities by support line and related applications;Mathematical and Computer Modelling of Dynamical Systems;2024-05-15