On certain mean values of polynomials

DOI10.1007/BF02803592zbMath0055.30303WikidataQ102697530 ScholiaQ102697530MaRDI QIDQ2651789

Gabor Szegő, Antoni Zygmund

Publication date: 1954

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

zbMATH Keywords

complex functions

Related Items (34)

Jacobi translation and the inequality of different metrics for algebraic polynomials on an interval ⋮ Bernstein-Walsh-type inequalities for derivatives of algebraic polynomials on the regions of complex plane ⋮ Bernstein-Walsh type inequalities for derivatives of algebraic polynomials in quasidisks ⋮ Sur les fonctionnelles analytiques et la transformation de Fourier-Borel ⋮ On the Dirichlet problem for homogeneous elliptic operators with constant coefficients ⋮ Uniform and pointwise estimates for algebraic polynomials in regions with interior and exterior zero angles ⋮ On Nikol'skii type inequality between the uniform norm and the integral \(q\)-norm with Laguerre weight of algebraic polynomials on the half-line ⋮ Comparing norms of polynomials in one and several variables ⋮ Nikol'skii inequality between the uniform norm and \(L_q\)-norm with Jacobi weight of algebraic polynomials on an interval ⋮ \(L^{1}\)-approximation and finding solutions with small support ⋮ Inequalities of the Markov-Nikol'skii type in regions with zero interior angles in the Bergman space ⋮ ON THE GROWTH OF m-TH DERIVATIVES OF ALGEBRAIC POLYNOMIALS IN REGIONS WITH CORNERS IN A WEIGHTED BERGMAN SPACE ⋮ On an inequality for the universal spectrum of integral means ⋮ Weighted polynomial inequalities with doubling weights on a quasismooth arc ⋮ A CHARACTERIZATION OF EXTREMAL ELEMENTS IN SOME LINEAR PROBLEMS ⋮ On certain mean values of polynomials on the unit interval. ⋮ Interference of the weight and boundary contour for algebraic polynomials in weighted Lebesgue spaces. I ⋮ Weighted \(L_p\) Bernstein-type inequalities on a quasismooth curve in the complex plane ⋮ A model space approach to some classical inequalities for rational functions ⋮ Unnamed Item ⋮ The uniform and pointwise estimates for polynomials on the weighted Lebesgue spaces in the general regions of complex plane ⋮ Nikol'skii type inequality; Bessel weight; extremal functions; extremal constants ⋮ On some properties of the orthogonal polynomials over a contour with general Jacobi weight ⋮ Inequalities for Lorentz polynomials ⋮ George Lorentz and inequalities in approximation ⋮ Weighted polynomial inequalities in the complex plane ⋮ Minimizing the \(L_{p,\infty}\)-distortion of trigonometric polynomials ⋮ Bernstein-Nikol'skii-type inequalities for algebraic polynomials from the Bergman space in domains of the complex plane ⋮ Investigations in the theory of the approximation of analytic functions carried out at the Mathematics Institute, Academy of Sciences of the Ukrainian SSR ⋮ Theorems of asymptotic approximation ⋮ On the interference of the weight and boundary contour for algebraic polynomials in weighted Lebesgue spaces. II ⋮ Nikolskii-type inequalities for shift invariant function spaces ⋮ Polynomial inequalities in regions with corners in theweighted Lebesgue spaces ⋮ On the growth of derivatives of algebraic polynomials in a weighted Lebesgue space

Cites Work

• Unnamed Item
• Some properties of fractional integrals. II
• Über das Randverhalten der Ableitung der Abbildungsfunktion bei konformer Abbildung
• On some generalizations of a theorem of A. Markoff
• Inequalities of the Markoff and Bernstein type for integral norms
• A Remark on Conjugate Series
• Concerning Integrals of Moduli of Regular Functions along Convex Curves
• Inequalities of A. Markoff and S. Bernstein for polynomials and related functions

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