SOME NEW PARAMETRIZED INEQUALITIES ON FRACTAL SET-Reference-Cited by-同舟云学术

SOME NEW PARAMETRIZED INEQUALITIES ON FRACTAL SET

Published:2024-01 Issue:03 Volume:32 Page:
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

XU HONGYAN¹²^ORCID,LAKHDARI ABDELGHANI³^ORCID,SALEH WEDAD⁴^ORCID,MEFTAH BADREDDINE⁵^ORCID

Affiliation:

1. School of Arts and Sciences, Suqian University, Suqian, Jiangsu 223800, P. R. China

2. School of Mathematics and Computer Science, Gannan Normal University, Ganzhou, Jiangxi 341000, P. R. China

3. Department CPST, National Higher School of Technology and Engineering, Annaba 23005, Algeria

4. Department of Mathematics, Taibah University, Al-Medina, Saudi Arabia

5. Laboratory of Analysis and Control of Differential Equations, Faculty MISM, Department of Mathematics, University of 8 May 1945 Guelma, P. O. Box 401, 24000 Guelma, Algeria

Abstract

The aim of this study is to examine certain open three-point Newton–Cotes-type inequalities for differentiable generalized [Formula: see text]-convex functions on a fractal set. To begin, we introduce a novel parametrized identity involving the relevant formula, which yields various new findings as well as previously established ones. Finally, an example is given to demonstrate the accuracy of the new results and their graphical depiction. Moreover, we emphasize the applications of the results obtained.

Funder

DGRSDT, MESRS of Algeria

Publisher

World Scientific Pub Co Pte Ltd

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X24500634

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