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Some new fractal Milne-type integral inequalities via generalized convexity with applications

This study aims to construct some new Milne-type integral inequalities for functions whose modulus of the local fractional derivatives is convex on the fractal set. To that end, we develop a novel generalized integral identity involving first-order generalized derivatives. Finally, as applications,...

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Main Authors: Meftah, Badreddine, Lakhdari, Abdelghani, Saleh, Wedad, Kilicman, Adem
Format: Article
Published: Multidisciplinary Digital Publishing Institute 2023
Online Access:http://psasir.upm.edu.my/id/eprint/109195/
https://www.mdpi.com/2504-3110/7/2/166
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spelling my.upm.eprints.1091952024-08-27T04:48:33Z http://psasir.upm.edu.my/id/eprint/109195/ Some new fractal Milne-type integral inequalities via generalized convexity with applications Meftah, Badreddine Lakhdari, Abdelghani Saleh, Wedad Kilicman, Adem This study aims to construct some new Milne-type integral inequalities for functions whose modulus of the local fractional derivatives is convex on the fractal set. To that end, we develop a novel generalized integral identity involving first-order generalized derivatives. Finally, as applications, some error estimates for the Milne-type quadrature formula and new inequalities for the generalized arithmetic and p-Logarithmic means are derived. This paper’s findings represent a significant improvement over previously published results. The paper’s ideas and formidable tools may inspire and motivate further research in this worthy and fascinating field. Multidisciplinary Digital Publishing Institute 2023-02-07 Article PeerReviewed Meftah, Badreddine and Lakhdari, Abdelghani and Saleh, Wedad and Kilicman, Adem (2023) Some new fractal Milne-type integral inequalities via generalized convexity with applications. Fractal and Fractional, 7 (2). art. no. 166. pp. 1-15. ISSN 2504-3110 https://www.mdpi.com/2504-3110/7/2/166 10.3390/fractalfract7020166
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
description This study aims to construct some new Milne-type integral inequalities for functions whose modulus of the local fractional derivatives is convex on the fractal set. To that end, we develop a novel generalized integral identity involving first-order generalized derivatives. Finally, as applications, some error estimates for the Milne-type quadrature formula and new inequalities for the generalized arithmetic and p-Logarithmic means are derived. This paper’s findings represent a significant improvement over previously published results. The paper’s ideas and formidable tools may inspire and motivate further research in this worthy and fascinating field.
format Article
author Meftah, Badreddine
Lakhdari, Abdelghani
Saleh, Wedad
Kilicman, Adem
spellingShingle Meftah, Badreddine
Lakhdari, Abdelghani
Saleh, Wedad
Kilicman, Adem
Some new fractal Milne-type integral inequalities via generalized convexity with applications
author_facet Meftah, Badreddine
Lakhdari, Abdelghani
Saleh, Wedad
Kilicman, Adem
author_sort Meftah, Badreddine
title Some new fractal Milne-type integral inequalities via generalized convexity with applications
title_short Some new fractal Milne-type integral inequalities via generalized convexity with applications
title_full Some new fractal Milne-type integral inequalities via generalized convexity with applications
title_fullStr Some new fractal Milne-type integral inequalities via generalized convexity with applications
title_full_unstemmed Some new fractal Milne-type integral inequalities via generalized convexity with applications
title_sort some new fractal milne-type integral inequalities via generalized convexity with applications
publisher Multidisciplinary Digital Publishing Institute
publishDate 2023
url http://psasir.upm.edu.my/id/eprint/109195/
https://www.mdpi.com/2504-3110/7/2/166
_version_ 1809142974753275904
score 13.211869

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