Jackson-type theorems for best one-sided approximations by trigonometrical polynomials and splines

DOI10.1007/BF01159203zbMath0471.42004OpenAlexW1972730653MaRDI QIDQ1157499

Vasil A. Popov, Andrei Andreev, Blagovest Sendov

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1007/bf01159203

zbMATH Keywords

algebraic polynomials

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Best approximation, Chebyshev systems (41A50) Integrals of Riemann, Stieltjes and Lebesgue type (26A42) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Spline approximation (41A15)

Related Items (3)

Generalized Sampling Approximation for Multivariate Discontinuous Signals and Applications to Image Processing ⋮ A Jackson-type theorem for averages of splines bounding a class of differentiable functions ⋮ Polynomial operators for one-sided \(L_p\)-approximation to Riemann integrable functions

Cites Work

• Upper bounds for the best onesided approximation by splines of the classes \(W^rL^1\)
• On one-sided approximation by trigonometrical polynomials
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