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AIMS Mathematics
Article . 2024 . Peer-reviewed
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AIMS Mathematics
Article . 2024
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Extended Hermite–Hadamard inequalities

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2024Publisher:American Institute of Mathematical Sciences (AIMS)Journal:AIMS Mathematics, volume 9, pages 36,031-36,046 (issn: 2473-6988, Copyright policy )
Authors: Lakhlifa Sadek; Ali Algefary;

doi: 10.3934/math.20241709

Extended Hermite–Hadamard inequalities

Abstract

<p>In this manuscript, we formulated Hermite–Hadamard inequalities for convex functions by employing cotangent integrals. Additionally, we extended these Hermite–Hadamard inequalities to encompass cotangent integrals and give the application.</p>

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Keywords

hermite–hadamard inequalities, fractional derivatives, QA1-939, confluent hypergeometric function, optimization, Mathematics, cotangent integral operators

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Top 10%
Average
Average
gold