Estimates of the coefficients of the Jacobi expansion by measures of smoothness

DOI10.1016/J.JMAA.2011.05.065zbMath1231.41034OpenAlexW2053137424MaRDI QIDQ719559

Z. Ditzian

Publication date: 10 October 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.05.065

zbMATH Keywords

\(K\)-functionalsJacobi expansionLegendre expansionDitzian-Totik moduli of smoothness

Mathematics Subject Classification ID

Approximation by polynomials (41A10) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58)

Related Items (3)

Generalized Jacobi-Weierstrass operators and Jacobi expansions ⋮ Relating smoothness to expressions involving Fourier coefficients or to a Fourier transform ⋮ Norm and smoothness of a function related to the coefficients of its expansion

Cites Work

• Fractional derivatives and best approximations
• Polynomial Approximation and $\omega^r_\phi (f,t)$ Twenty Years Later
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