A new refinement of the generalized Hölder’s inequality with applications

DOI10.22199/issn.0717-6279-4538zbMath1502.26018OpenAlexW4281914672MaRDI QIDQ5086736

Mohamed Akkouchi, Mohamed Amine Ighachane, El Hassan Benabdi

Publication date: 7 July 2022

Published in: Proyecciones (Antofagasta) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22199/issn.0717-6279-4538

zbMATH Keywords

arithmetic-geometric mean inequality\(p\)-adic gamma functiongeneralized Hölder inequalityNielsen's \(\beta\)-function\((q,k)\)-polygamma functions

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals) (33B20) Inequalities involving other types of functions (26D07)

Cites Work

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• Further generalizations, refinements, and reverses of the Young and Heinz inequalities
• On refined Young inequalities and reverse inequalities
• On a $k$-extension of the Nielsen's $beta$-Function
• q,k-Generalized Gamma and Beta Functions
• A new generalized refinement of the weighted arithmetic-geometric mean inequality
• Some refinements to Hölder’s inequality and applications

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