Extension of the Dirichlet-Jordan criterion to a general class of orthogonal polynomial expansions

DOI10.1007/BF01901753zbMath0287.42015MaRDI QIDQ4774969

Géza Freud

Publication date: 1974

Published in: Acta Mathematica Academiae Scientiarum Hungaricae (Search for Journal in Brave)

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) General harmonic expansions, frames (42C15) Convergence and absolute convergence of Fourier and trigonometric series (42A20)

Related Items

An update on orthogonal polynomials and weighted approximation on the real line, Weighted polynomial approximation, Géza Freud, orthogonal polynomials and Christoffel functions. A case study, Pointwise bounds of orthogonal expansions on the real line via weighted Hilbert transforms, Orthogonal expansions and the error of weighted polynomial approximation for erdös weights, The rate of convergence of expansions in Freud polynomials, On Markov-Bernstein-type inequalities and their applications, Bounded quasi-interpolatory polynomial operators, Extensions of the Dirichlet-Jordan criterion to a general class of orthogonal polynomial expansions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On estimations of the greatest zeroes of orthogonal polynomials
• On weighted polynomial approximation on the whole real axis
• Über die starke (C, 1)-Summierbarkeit von orthogonalen Polynomreihen
• Über die Konvergenz orthogonaler Polynomreihen