Sharp inequalities for trigonometric polynomials with respect to integral functionals
From MaRDI portal
Publication:643830
DOI10.1134/S0081543811050038zbMath1254.42001MaRDI QIDQ643830
Publication date: 2 November 2011
Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)
integral functionalsharp inequalities for trigonometric polynomialstrigonometric polynomials of least deviation from zero
Related Items (6)
Szegő-Taikov inequality for conjugate polynomials ⋮ Nikol'skii inequality between the uniform norm and \(L_q\)-norm with ultraspherical weight of algebraic polynomials on an interval ⋮ POSITIVE DEFINITE FUNCTIONS AND SHARP INEQUALITIES FOR PERIODIC FUNCTIONS ⋮ Nikol'skii inequality for algebraic polynomials on a multidimensional Euclidean sphere ⋮ Sharp Markov-Nikol'skii inequality with respect to the uniform norm and the integral norm with Chebyshev weight ⋮ Szegö inequality for trigonometric polynomials in \(L_p , 0 \leq p \leq \infty ,\) with the classical value of the best constant
Cites Work
- Trigonometric polynomials of least deviation from zero in measure and related problems
- Necessary conditions for metrics in integral Bernstein-type inequalities
- Bernstein's inequality in \(L^p\) for \(O<p<1\)
- Integral inequalities for algebraic polynomials with a restriction on their zeros
- Bernstein inequalities in \({L_ p}\), \(0\leq p\leq+\infty\)
- Algebraic polynomials least deviating from zero in measure on a segment
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Sharp inequalities for trigonometric polynomials with respect to integral functionals
