The modulus of continuity of the remainder in the approximation of Lipschitz functions

DOI10.1016/0021-9045(81)90030-7zbMath0475.41033OpenAlexW2057192935MaRDI QIDQ1159852

Walter R. Bloom, David L. Elliott

Publication date: 1981

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(81)90030-7

zbMATH Keywords

Bernstein-type inequality

Mathematics Subject Classification ID

Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Rate of convergence, degree of approximation (41A25)

Related Items (8)

On the uniform modulus of continuity of certain discrete approximation operators ⋮ Multivariate Stancu operators defined on a simplex. ⋮ Bernstein polynomials and modulus of continuity ⋮ On the convergence of spline product quadratures for Cauchy principal value integrals ⋮ Simultaneous approximation by Bernstein operators in Hölder norms ⋮ On multivariate Baskakov operator ⋮ Lipschitz constants for the Bernstein polynomials of a Lipschitz continuous function ⋮ On approximation of functions by algebraic polynomials in Hölder spaces

Cites Work

• On the convergence of a quadrature rule for evaluating certain Cauchy principal value integrals: An addendum
• Fourier-Koeffizienten und Funktionenklassen
• Direct method for solving integral equations
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