Nikol'skii inequality between the uniform norm and \(L_q\)-norm with Jacobi weight of algebraic polynomials on an interval
type: Item
instance of: scholarly article
title: Nikol'skii inequality between the uniform norm and \(L_q\)-norm with Jacobi weight of algebraic polynomials on an interval
zbMATH Open document ID: 1389.41013
published in: Analysis Mathematica
publication date: 2017-11-10T00:00:00Z
Mathematics Subject Classification ID: 41A17
zbMATH DE Number: 6806083
zbMATH Keywords: algebraic polynomial
zbMATH Keywords: Nikol'skii inequality
zbMATH Keywords: Jacobi weight
zbMATH Keywords: generalized translation
author: Vitalii Arestov
author: Marina Valer'evna Deikalova
MaRDI profile type: Publication
full work available at URL: s10476-016-0201-2
OpenAlex ID: W2473661101
cites work: Inequality of different metrics for trigonometric polynomials
cites work: Nikol'skii inequality between the uniform norm and \(L_q\)-norm with ultraspherical weight of algebraic polynomials on an interval
cites work: Sharp integral inequalities for fractional derivatives of trigonometric polynomials
cites work: Q4052481
cites work: A Convolution Structure for Jacobi Series
cites work: An exact Jackson-Stechkin inequality for $ L^2$-approximation on the interval with the Jacobi weight and on projective spaces
cites work: Q4429483
cites work: Q4328067
cites work: A special class of Jacobi series and some applications
cites work: Q5812385
cites work: Q4858543
cites work: On an extremum problem concerning trigonometrical polynomials
cites work: Q4273944
cites work: Ul'yanov and Nikol'skii-type inequalities
cites work: Positivity and the convolution structure for Jacobi series
cites work: Polynomials of least deviation from zero in the L[−1, 1] metric with five fixed coefficients
cites work: The Markov brothers inequality in \(L_0\)-space on an interval
cites work: The sharp Markov-Nikol'skii inequality for algebraic polynomials in the spaces \(L q\) and \(L _{0}\) on a closed interval
cites work: Direct and converse theorems of the theory of approximation in the metric of \(L_p\) for \(0<p<1\)
cites work: Q3882897
cites work: Q3508194
cites work: Jacobi Polynomials, II. An Analytic Proof of the Product Formula
cites work: Complexity of approximation problems
cites work: Q4348446
cites work: On Chebyshev-Markov rational functions over several intervals
cites work: On trigonometric polynomials deviating least from zero on an interval
cites work: Q4861743
cites work: On the representation of extremal functions in the \(L^1\)-norm
cites work: Trigonometric polynomial approximation in the L1-norm
cites work: Coefficient and Integral Mean Estimates for Algebraic and Trigonometric Polynomials with Restricted Zeros
cites work: A sharp Markov brothers-type inequality in the spaces \(L_\infty\) and \(L_1\) on the segment
cites work: Sharp Markov-Nikol'skii inequality with respect to the uniform norm and the integral norm with Chebyshev weight
cites work: On certain mean values of polynomials
cites work: On the best approximation of Dirichlet kernels
cites work: Q4856171
cites work: Q3254471
DOI: 10.1007/S10476-016-0201-2
description: scientific article; zbMATH DE number 6806083