Monotonicity of averages of superquadratic and related functions

Shoshana Abramovich

doi:10.1142/9789811261572_0002

Monotonicity of averages of superquadratic and related functions

Shoshana Abramovich

Department of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

The purpose of this work is to focus on various successive differences of averages and their bounds when f is a superquadratic, a subquadratic or an 1-quasiconvex function. These inequalities refine inequalities obtained when f is a non-negative convex function and lead to Alzer-type inequalities.

Original language	English
Title of host publication	Analysis, Geometry, Nonlinear Optimization And Applications
Publisher	World Scientific Publishing Co. Pte Ltd
Pages	19-39
Number of pages	21
ISBN (Electronic)	9789811261572
ISBN (Print)	9789811261565
DOIs	https://doi.org/10.1142/9789811261572_0002
State	Published - 20 Mar 2023

Bibliographical note

Publisher Copyright:
© 2023 World Scientific Publishing Company. All rights reserved.

ASJC Scopus subject areas

General Mathematics
General Computer Science

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10.1142/9789811261572_0002

Cite this

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Monotonicity of averages of superquadratic and related functions

Abstract

Bibliographical note

ASJC Scopus subject areas

Access to Document

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