A Refinement of Jensen’s and Minkowski’s Inequalities via Superquadratic Functions

Anton Asare-Tuah; Edward Prempeh

doi:10.1155/2024/8925522

A Refinement of Jensen’s and Minkowski’s Inequalities via Superquadratic Functions

Anton Asare-Tuah, Edward Prempeh

Department of Mathematics

Kessben University College

Research output: Contribution to journal › Article › peer-review

Abstract

We provide in this note a diferent refnement of Jensen’s inequality obtained via superquadratic functions. A refnement of Minkowski’s and Hölder’s inequalities is also established as an application of our refned Jensen’s inequality.

Original language	English
Article number	8925522
Journal	International Journal of Mathematics and Mathematical Sciences
Volume	2024
DOIs	https://doi.org/10.1155/2024/8925522
Publication status	Published - 2024

Keywords

Jensen’s inequality
convex functions
superquadratic functions

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10.1155/2024/8925522

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title = "A Refinement of Jensen{\textquoteright}s and Minkowski{\textquoteright}s Inequalities via Superquadratic Functions",

abstract = "We provide in this note a diferent refnement of Jensen{\textquoteright}s inequality obtained via superquadratic functions. A refnement of Minkowski{\textquoteright}s and H{\"o}lder{\textquoteright}s inequalities is also established as an application of our refned Jensen{\textquoteright}s inequality.",

keywords = "Jensen{\textquoteright}s inequality, convex functions, superquadratic functions",

author = "Anton Asare-Tuah and Edward Prempeh",

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year = "2024",

doi = "10.1155/2024/8925522",

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AU - Asare-Tuah, Anton

AU - Prempeh, Edward

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N2 - We provide in this note a diferent refnement of Jensen’s inequality obtained via superquadratic functions. A refnement of Minkowski’s and Hölder’s inequalities is also established as an application of our refned Jensen’s inequality.

AB - We provide in this note a diferent refnement of Jensen’s inequality obtained via superquadratic functions. A refnement of Minkowski’s and Hölder’s inequalities is also established as an application of our refned Jensen’s inequality.

KW - Jensen’s inequality

KW - convex functions

KW - superquadratic functions

UR - https://www.scopus.com/pages/publications/85215371615

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DO - 10.1155/2024/8925522

M3 - Article

AN - SCOPUS:85215371615

SN - 0161-1712

VL - 2024

JO - International Journal of Mathematics and Mathematical Sciences

JF - International Journal of Mathematics and Mathematical Sciences

M1 - 8925522

ER -

A Refinement of Jensen’s and Minkowski’s Inequalities via Superquadratic Functions

Abstract

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