The Poincaré-Wirtinger Inequality in the Framework of Equalities

Tohru Ozawa, Durvudkhan Suragan

Research output: Chapter in Book/Report/Conference proceedingChapter

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 languageEnglish
Title of host publicationTrends in Mathematics
PublisherSpringer Science and Business Media Deutschland GmbH
Pages139-143
Number of pages5
DOIs
Publication statusPublished - 2025

Publication series

NameTrends in Mathematics
Volume10
ISSN (Print)2297-0215
ISSN (Electronic)2297-024X

Keywords

  • Poincaré inequality
  • Poincaré-Wirtinger inequality

ASJC Scopus subject areas

  • General Mathematics

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