The sharp Landau–Kolmogorov inequality for the set <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e40" altimg="si4.svg"><mml:msub><mml:mrow><mml:mo>‖</mml:mo><mml:msup><mml:mrow><mml:mi>y</mml:mi></mml:mrow><mml:mrow><mml:mo>′</mml:mo></mml:mrow></mml:msup><mml:mo>‖</mml:mo></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math>, <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e59" altimg="si5.svg"><mml:msub><mml:mrow><mml:mo>‖</mml:mo><mml:mi>y</mml:mi><mml:mo>‖</mml:mo></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub></mml:math>, <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e73" altimg="si6.svg"><mml:msub><mml:mrow><mml:mo>‖</mml:mo><mml:msubsup><mml:mrow><mml:mi>y</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msubsup><mml:mo>‖</mml:mo></mml:mrow><mml:mrow><mml:mi>∞</mml:mi></mml:mrow></mml:msub></mml:math> on the real line-Reference-Cited by-同舟云学术

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The sharp Landau–Kolmogorov inequality for the set ‖y′‖2, ‖y‖1, ‖y+′′‖∞ on the real line

Published:2024-03 Issue: Volume:298 Page:105996
ISSN:0021-9045
Container-title:Journal of Approximation Theory
language:en
Short-container-title:Journal of Approximation Theory

Author:

Payuchenko N.S.

Funder

Russian Foundation for Basic Research

Publisher

Elsevier BV

Subject

Applied Mathematics,General Mathematics,Numerical Analysis,Analysis

Reference12 articles.

1. Approximation of unbounded operators by bounded ones, and related extremal problems;Arestov;Uspekhi Mat. Nauk,1996

2. Nonsymmetric extremal problems in approximation theory;Babenko;Dokl. Akad. Nauk SSSR,1983

3. Inequalities for Derivatives and their Applications;Babenko,2003

4. Comparison of exact constants in inequalities for derivatives of functions defined on the real axis and a circle;Babenko;Ukrainian Math. J.,2003

5. Constructive Approximation;DeVore,1993

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