A parametrized approach to generalized fractional integral inequalities: Hermite–Hadamard and Maclaurin variants

Lakhdari, Abdelghani; Bin-Mohsin, Bandar; Jarad, Fahd; Xu, Hongyan; Meftah, Badreddine

doi:10.1016/j.jksus.2024.103523

Journal of King Saud University - Science

2024

DOI: 10.1016/j.jksus.2024.103523

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A parametrized approach to generalized fractional integral inequalities: Hermite–Hadamard and Maclaurin variants

Abdelghani Lakhdari,

Bandar Bin-Mohsin,

Fahd Jarad

et al.

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2024

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On Fractal–Fractional Simpson-Type Inequalities: New Insights and Refinements of Classical Results

Alsharari,

Fakhfakh,

Lakhdari

2024

Mathematics

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In this paper, we introduce a novel fractal–fractional identity, from which we derive new Simpson-type inequalities for functions whose first-order local fractional derivative exhibits generalized s-convexity in the second sense. This work introduces an approach that uses the first-order local fractional derivative, enabling the treatment of functions with lower regularity requirements compared to earlier studies. Additionally, we present two distinct methodological frameworks, one of which achieves greater precision by refining classical outcomes in the existing literature. The paper concludes with several practical applications that demonstrate the utility of our results.

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On Fractal–Fractional Simpson-Type Inequalities: New Insights and Refinements of Classical Results

Alsharari,

Fakhfakh,

Lakhdari

2024

Mathematics

View full text Add to dashboard Cite

show abstract

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A parametrized approach to generalized fractional integral inequalities: Hermite–Hadamard and Maclaurin variants

Cited by 1 publication

References 17 publications

On Fractal–Fractional Simpson-Type Inequalities: New Insights and Refinements of Classical Results

On Fractal–Fractional Simpson-Type Inequalities: New Insights and Refinements of Classical Results

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