V. A. Steklov's problem in the theory of orthogonal polynomials

DOI10.1007/BF01844488zbMath0473.42016MaRDI QIDQ1158597

P. K. Suetin

Publication date: 1979

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

zbMATH Keywords

asymptotic propertiesasymptotic formulassingularities of the weight function

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Related Items (9)

Hardy classes and related spaces of analytic functions in the unit circle, polydisc, and the ball ⋮ Orthogonal polynomials on the circle for the weight \(w\) satisfying conditions \(w,w^{-1}\in \mathrm{BMO}\) ⋮ Rényi entropies, \(L_q\) norms and linearization of powers of hypergeometric orthogonal polynomials by means of multivariate special functions ⋮ Asymptotics \((p\to\infty)\) of \(L_p\)-norms of hypergeometric orthogonal polynomials ⋮ Evaluation of spline functions for digital filtering problems ⋮ On Schur parameters in Steklov's problem ⋮ Frequency moments, \(L_q\) norms and Rényi entropies of general hypergeometric polynomials ⋮ New numerical-analytical methods in diffraction theory ⋮ Remark on the formula by Rakhmanov and Steklov's conjecture

Cites Work

• Determinanten mit überwiegender Hauptdiagonale und die absolute Konvergenz von linearen Iterationsprozessen
• On a property of orthogonal polynomials
• Mean convergence of Lagrange interpolation. I
• The asymptotic representation at a point of the derivative of orthonormal polynomials
• Series in Faber polynomials and several generalizations
• Bounds for Jacobi and related polynomials derivable by matrix methods
• Estimates of Lebesgue functions and remainders of Fourier-Jacobi series
• On the rapidity of convergence of sequences of orthogonal polynomials to a limit function
• Recent Advances and Open Questions on the Asymptotic Expansions of Orthogonal Polynomials
• ON A NEW APPROACH TO THE THEORY OF SPECIAL FUNCTIONS
• Zero Distribution and Behavior of Orthogonal Polynomials in the Sobolev Space $W^{1,2} [ - 1,1$]
• Konstruktive Methoden der konformen Abbildung
• An Asymptotic Formula for the Derivatives of Orthogonal Polynomials of the Unit Circle.
• Expansion of Continuous Differentiable Functions in Fourier Legendre Series
• Über orthonormale Polynome und ein assoziiertes Momentenproblem.
• Mean convergence of orthogonal series and Lagrange interpolation
• An Asymptotic Formula Relating to Orthogonal Polynomials
• A Convergence Equivalence Related to Polynomials Orthogonal on the Unit Circle
• On Positive Harmonic Functions
• Über die starke (C, 1)-Summierbarkeit von orthogonalen Polynomreihen
• An Extension of a Theorem of G. Szego and Its Application to the Study of Stochastic Processes
• Eine Bemerkung zur asymptotischen Darstellung von Orthogonalpolynomen
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