The complete asymptotic expansion for the measure of approximation of Abel-Poisson's singular integral for Lip 1

DOI10.1007/BF01093622zbMath0264.42014MaRDI QIDQ2561723

E. L. Stark

Publication date: 1973

Published in: Mathematical Notes (Search for Journal in Brave)

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Approximation by operators (in particular, by integral operators) (41A35) Convergence and absolute convergence of Fourier and trigonometric series (42A20) Conjugate functions, conjugate series, singular integrals (42A50)

Related Items (3)

Some applied aspects of the Dirac delta function ⋮ Complete asymptotics of the approximation of function from the Sobolev classes by the Poisson integrals ⋮ Asymptotics of approximation of conjugate functions by Poisson integrals

Cites Work

• On a bound for spline approximations
• Über die Approximationsmaße spezieller singulärer Integrale
• Über beste Konstanten und asymptotische Entwicklungen positiver Faltungsintegrale und deren Zusammenhang mit dem Saturationsproblem
• Über Nikolskii-Konstanten von positiven Approximationsverfahren bezüglich Lipschitz-Klassen
• Wesentliche asymptotische Entwicklungen für Approximationsmaße trigonometrischer singulärer Integrale
• Sur l'ordre de l'approximation d'une fonction par son intégrale de Poisson
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