A generalization of cauchy–bunyakovsky integral inequality via means with max and min values

P. Agarwal; A. A. Korenovskii; S. M. Sitnik

doi:10.1007/978-981-13-3013-1_18

A generalization of cauchy–bunyakovsky integral inequality via means with max and min values

P. Agarwal
, A. A. Korenovskii
, S. M. Sitnik

International College of Engineering
International Center for Basic and Applied Sciences
Odessa National University
Belgorod State University

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

Abstract

In the paper, we give a brief survey of a method for constructing generalizations of Cauchy–Bunyakovsky integral inequality using abstract mean values. One special inequality of this type is considered in details in terms of min and max functions. Some direct proofs of this inequality are given and application to inequalities for special functions. Also related recent references are briefly considered.

Original language	English
Title of host publication	Trends in Mathematics
Publisher	Springer International Publishing
Pages	333-349
Number of pages	17
DOIs	https://doi.org/10.1007/978-981-13-3013-1_18
State	Published - 2018
Externally published	Yes

Publication series

Name	Trends in Mathematics
ISSN (Print)	2297-0215
ISSN (Electronic)	2297-024X

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10.1007/978-981-13-3013-1_18

Cite this

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AB - In the paper, we give a brief survey of a method for constructing generalizations of Cauchy–Bunyakovsky integral inequality using abstract mean values. One special inequality of this type is considered in details in terms of min and max functions. Some direct proofs of this inequality are given and application to inequalities for special functions. Also related recent references are briefly considered.

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A generalization of cauchy–bunyakovsky integral inequality via means with max and min values

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