Poincaré’s inequality for the Luxemburg norm of a variable exponent which depends on the test functions

Abstract In this paper we prove a Poincaré-type inequality within the framework of Luxemburg norms constructed by using some continuous and bounded functions which depend on the test functions.

Authors

Andrei Grecu (ORCID: https://orcid.org/0000-0003-3112-2046)
Mihai Mihăilescu (ORCID: https://orcid.org/0000-0001-7927-1580)
Anisia Teca (ORCID: https://orcid.org/0009-0004-2470-2899)

Institutions

Institute of Mathematical Statistics (US)
University of Craiova (RO)

Publication Details

Journal: Georgian Mathematical Journal
Published: 2026-06-25
DOI: https://doi.org/10.1515/gmj-2026-3024
Primary Topic: Mathematical Inequalities and Applications
Type: article
Field-Weighted Citation Impact: 0.00

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article

Poincaré’s inequality for the Luxemburg norm of a variable exponent which depends on the test functions

Andrei Grecu, Mihai Mihăilescu, Anisia Teca

Jun 25, 2026

Georgian Mathematical Journal

Mathematical Inequalities and Applications

article

Poincaré’s inequality for the Luxemburg norm of a variable exponent which depends on the test functions

Andrei Grecu, Mihai Mihăilescu, Anisia Teca

June 25, 2026article en

Abstract

Abstract In this paper we prove a Poincaré-type inequality within the framework of Luxemburg norms constructed by using some continuous and bounded functions which depend on the test functions.

Georgian Mathematical Journal

Institute of Mathematical Statistics (US), University of Craiova (RO)

Reduced inequalities

Openalex Percentile: Top 4%

Mathematical Inequalities and Applications

DOI Source OpenAlex

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Poincaré’s inequality for the Luxemburg norm of a variable exponent which depends on the test functions — Andrei Grecu, Mihai Mihăilescu, et al. · Georgian Mathematical Journal (2026) | TGRS Research Map | TGRS