The Poincaré-Wirtinger Inequality in the Framework of Equalities

Tohru Ozawa; Durvudkhan Suragan

doi:10.1007/978-3-031-73274-4_18

The Poincaré-Wirtinger Inequality in the Framework of Equalities

Tohru Ozawa
, Durvudkhan Suragan

School of Sciences and Humanities

Waseda University

Research output: Chapter in Book/Report/Conference proceeding › Chapter

1 Citation (Scopus)

Abstract

The Poincaré-Wirtinger inequality is studied in the framework of equalities, thereby obtaining a simple and unified approach to the proof, the optimal constant, and the existence of nontrivial extremizers with its characterization.

Original language	English
Title of host publication	Trends in Mathematics
Publisher	Springer Science and Business Media Deutschland GmbH
Pages	139-143
Number of pages	5
DOIs	https://doi.org/10.1007/978-3-031-73274-4_18
Publication status	Published - 2025

Publication series

Name	Trends in Mathematics
Volume	10
ISSN (Print)	2297-0215
ISSN (Electronic)	2297-024X

Funding

Acknowledgments. T. Ozawa is partially supported by JSPS KAKENHI grant numbers 18KK0073 and 19H00644. D. Suragan is partially supported by Nazarbayev University grants 20122022CRP1601 and 20122022FD4105.

Keywords

Poincaré inequality
Poincaré-Wirtinger inequality

ASJC Scopus subject areas

General Mathematics

Access to Document

10.1007/978-3-031-73274-4_18

Cite this

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