Bernstein–Szegő inequality for trigonometric polynomials in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e40" altimg="si7.svg"><mml:mrow><mml:msub><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:mspace width="1em" class="nbsp" /><mml:mn>0</mml:mn><mml:mo linebreak="goodbreak" linebreakstyle="after">≤</mml:mo><mml:mi>p</mml:mi><mml:mo linebreak="goodbreak" linebreakstyle="after">≤</mml:mo><mml:mi>∞</mml:mi><mml:mo>,</mml:mo></mml:mrow></mml:math> with the classical value of the best constant-Reference-Cited by-同舟云学术

Bernstein–Szegő inequality for trigonometric polynomials in Lp,0≤p≤∞, with the classical value of the best constant

Author:

Leont’eva Anastasiya O.

Funder

Ministry of Education and Science of the Russian Federation

Publisher

Elsevier BV

Subject

Applied Mathematics,General Mathematics,Numerical Analysis,Analysis

Reference20 articles.

1. The Classical Moment Problem;Akhiezer,1961

2. On inequalities of S. N. Bernstein for algebraic and trigonometric polynomials;Arestov;Dokl. Akad. Nauk SSSR,1979

3. Integral inequalities for trigonometric polynomials and their derivatives;Arestov;Izv. Akad. Nauk SSSR, Ser. Mat.,1981

4. Integral inequalities for algebraic polynomials on the unit circle;Arestov;Mat. Zametki,1990

5. The szegő inequality for derivatives of a conjugate trigonometric polynomial in L0;Arestov;Mat. Zametki,1994

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