On orthogonal expansions with respect to the generalized Jacobi weight

DOI10.1007/s00025-012-0261-yzbMath1272.42015OpenAlexW1967208198MaRDI QIDQ351117

Bujar Xh. Fejzullahu

Publication date: 11 July 2013

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-012-0261-y

zbMATH Keywords

orthogonal polynomialsorthogonal expansionsLebesgue constantsCohen type inequalitiesgeneralized Jacobi weight

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)

Related Items (1)

Pointwise asymptotics of the ratio of Jacobi-type polynomials

Cites Work

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• A Cohen type inequality for Laguerre-Sobolev expansions
• Necessary conditions for weighted mean convergence of Fourier series in orthogonal polynomials
• Extensions of Szegö's theory of orthogonal polynomials. II
• A Cohen type inequality for ultraspherical series
• A Cohen-type inequality for Jacobi expansions and divergence of Fourier series on compact symmetric spaces
• Weighted \(L^ p\)-boundedness of Fourier series with respect to generalized Jacobi weights
• Strong asymptotics for extremal polynomials associated with weights on \({\mathbb{R}}\)
• On asymptotics of \(L_ p\) extremal polynomials on a complex curve (\(0<p<\infty\))
• On the norm of the Fourier-Gegenbauer projection in weighted \(L_p\) spaces
• Mean convergence of orthogonal Fourier series and interpolating polynomials
• ON THE NORM OF THE FOURIER-JACOBI PROJECTION
• On a Conjecture of Littlewood and Idempotent Measures
• Cohen Type Inequalities for Jacobi, Laguerre and Hermite Expansions
• Lebesgue Constants for Jacobi Expansions
• Two Notes on Convergence and Divergence A.E. of Fourier Series with Respect to Some Orthogonal Systems
• CONVERGENCE IN THE MEAN AND ALMOST EVERYWHERE OF FOURIER SERIES IN POLYNOMIALS ORTHOGONAL ON AN INTERVAL
• A Cohen Type Inequality for Compact Lie Groups
• Divergent Cesàro and Riesz means of Jacobi and Laguerre expansions
• On multipliers preserving convergence of trigonometric series almost everywhere
• Mean Convergence of Jacobi Series
• Weighted Norm Inequalities for the Conjugate Function and Hilbert Transform
• The Mean Convergence of Orthogonal Series. II
• A New Proof of a Theorem on Rearrangements

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