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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2025, Volume 331, Pages 141–154
DOI: https://doi.org/10.4213/tm4492 (Mi tm4492) 		 
This article is cited in 1 scientific paper (total in 1 paper)

A Survey of Results on 1D Steklov Type Inequalities

A. I. Nazarovab, A. P. Shcheglovacb

a St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia
b St. Petersburg State University, St. Petersburg, Russia
c St. Petersburg Electrotechnical University “LETI”, St. Petersburg, Russia
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DOI: https://doi.org/10.4213/tm4492
Abstract: We give a survey of classical and recent results on symmetry$/$asymmetry of extremal functions and sharp constants in one-dimensional functional inequalities.
Keywords: one-dimensional functional inequalities, symmetry, symmetry breaking, sharp constants.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-15-2025-344
The work of the first author was supported by the Ministry of Science and Higher Education of the Russian Federation (agreement no. 075-15-2025-344 of 29.04.2025 with the St. Petersburg Leonhard Euler International Mathematical Institute).
Received: May 12, 2025
Revised: June 2, 2025
Accepted: August 28, 2025
Published: 20.03.2026
English version:
Proceedings of the Steklov Institute of Mathematics, 2025, Volume 331, Pages 134–147
DOI: https://doi.org/10.1134/S0081543825601509
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. I. Nazarov, A. P. Shcheglova, “A Survey of Results on 1D Steklov Type Inequalities”, Functional Analysis, Approximation Theory, and Related Topics, Collected papers. In commemoration of the 120th anniversary of the birth of Academician Sergei Mikhailovich Nikol'skii, Trudy Mat. Inst. Steklova, 331, Steklov Math. Inst., Moscow, 2025, 141–154; Proc. Steklov Inst. Math., 331 (2025), 134–147
Citation in format AMSBIB
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\by A.~I.~Nazarov, A.~P.~Shcheglova
\paper A Survey of Results on 1D Steklov Type Inequalities
\inbook Functional Analysis, Approximation Theory, and Related Topics
\bookinfo Collected papers. In commemoration of the 120th anniversary of the birth of Academician Sergei Mikhailovich Nikol'skii
\serial Trudy Mat. Inst. Steklova
\yr 2025
\vol 331
\pages 141--154
\publ Steklov Math. Inst.
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm4492}
\crossref{https://doi.org/10.4213/tm4492}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2025
\vol 331
\pages 134--147
\crossref{https://doi.org/10.1134/S0081543825601509}
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    • This publication is cited in the following 1 articles:
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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