Some Hermite-Hadamard Type Integral Inequalities and Their Applications via the Modified Riemann-Liouville Fractional Integral Operator

The aim of this manuscript is to introduce a novel form of H-H inequality via ψ-RLFIO for preinvex functions. By employing this approach, we construct a new lemma. In addition, based on this newly derived fractional identity, some new estimation of fractional H-H inequality involving m-preinvex via ψ-RLFIO is investigated. Further, we add some mean-type applications.

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Publication Details

Journal
Global Journal of Sciences
Published
2024-12-27
DOI
https://doi.org/10.48165/gjs.2024.1203
Primary Topic
Mathematical Inequalities and Applications
Type
article
Field-Weighted Citation Impact
0.00

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article

Some Hermite-Hadamard Type Integral Inequalities and Their Applications via the Modified Riemann-Liouville Fractional Integral Operator

Muhammad Tariq, Clemente Cesarano, Asif Ali Shaikh, Gul Bahar
Global Journal of Sciences
Mathematical Inequalities and Applications
article

Some Hermite-Hadamard Type Integral Inequalities and Their Applications via the Modified Riemann-Liouville Fractional Integral Operator

Muhammad Tariq, Clemente Cesarano, Asif Ali Shaikh, Gul Bahar
article en

Abstract

The aim of this manuscript is to introduce a novel form of H-H inequality via ψ-RLFIO for preinvex functions. By employing this approach, we construct a new lemma. In addition, based on this newly derived fractional identity, some new estimation of fractional H-H inequality involving m-preinvex via ψ-RLFIO is investigated. Further, we add some mean-type applications.

Global Journal of SciencesVol. 1(2)
Mehran University of Engineering and Technology (PK), UniNettuno University (IT)
Mehran University of Engineering and Technology
Openalex Percentile: Top 57%
Mathematical Inequalities and Applications
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Some Hermite-Hadamard Type Integral Inequalities and Their Applications via the Modified Riemann-Liouville Fractional Integral Operator — Muhammad Tariq, Clemente Cesarano, et al. · Global Journal of Sciences (2024) | TGRS Research Map | TGRS