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Boletim da Sociedade Paranaense de Matemática
Article . 2025 . Peer-reviewed
License: CC BY
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Kocaeli Üniversitesi - AVESİS
Article . 2025
Data sources: Kocaeli Üniversitesi - AVESİS
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Generalized trapezoid inequality for multiplicatively convex functions

descriptionPublicationkeyboard_double_arrow_right Article 22 Sep 2025 Turkey Publisher:Sociedade Paranaense de MatemáticaJournal:Boletim da Sociedade Paranaense de Matemática (issn: 0037-8712, eissn: 2175-1188, Copyright policy )
Authors: Meftah, Badreddine; Benchettah, Djaber Chemseddine; LAKHDARI, Abdelghani;

doi: 10.5269/bspm.66248

Generalized trapezoid inequality for multiplicatively convex functions

Abstract

In this paper, we first prove a new identity for multiplicative differentiable functions. Based on this identity, we establish a generalized trapezoid inequality for multiplicatively convex functions. Applications to special means are also given.

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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!
1
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