MILNE-TYPE FRACTAL INTEGRAL INEQUALITIES FOR GENERALIZED <i>m</i>-CONVEX MAPPING-Reference-Cited by-同舟云学术

MILNE-TYPE FRACTAL INTEGRAL INEQUALITIES FOR GENERALIZED m-CONVEX MAPPING

Published:2023-01 Issue:05 Volume:31 Page:
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

AL-SA’DI SA’UD¹,BIBI MARIA²,SEOL YOUNGSOO³^ORCID,MUDDASSAR MUHAMMAD²

Affiliation:

1. Department of Mathematics, Faculty of Science, The Hashemite University, P. O. Box 330127, Zarqa 13133, Jordan

2. Department of Basic Sciences, University of Engineering and Technology Taxila, Taxila 47050, Pakistan

3. Department of Mathematics, Dong-A University, Busan 49315, Korea

Abstract

In this paper, we investigate the generalized Milne-type integral inequalities via the framework of generalized m-convex mappings on fractal sets. To accomplish this, we propose a new generalized integral identity that involves differentiable generalized [Formula: see text]-convex mappings. Based on the latest identity we drive a number of the latest fractal Milne-type integral inequalities. Also, we provide fractal Milne-type inequalities for bounded mappings. Some illustrative examples and applications to additional inequalities for the generalized special means and various error estimates for the generalized Milne-type quadrature formula are obtained to further support our results. The findings presented in this research offer important generalizations and extensions of previous work in the field.

Funder

Dong-A University

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/S0218348X23500810

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