One-sided approximation of a step by algebraic polynomials in the mean

DOI10.1007/s11253-010-0366-yzbMath1224.41023OpenAlexW2016330883MaRDI QIDQ3076518

V. P. Motornyi, P. K. Nitiema, O. V. Motornaya

Publication date: 22 February 2011

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

Full work available at URL: https://doi.org/10.1007/s11253-010-0366-y

zbMATH Keywords

best approximationalgebraic polynomials

Mathematics Subject Classification ID

Approximation by polynomials (41A10)

Related Items (8)

Best one-sided approximation in the mean of the characteristic function of an interval by algebraic polynomials ⋮ Best \(L^1\) approximation of truncated functions, Whitney-type and Bohr-Favard-type inequalities ⋮ Polynomial operators for one-sided approximation to functions in \(W^r_p [0,1\)] ⋮ Best one-sided \(L_1\) approximation to the Heaviside and sign functions ⋮ ONE-SIDED L-APPROXIMATION ON A SPHERE OF THE CHARACTERISTIC FUNCTION OF A LAYER ⋮ ON FUNCTION CLASSES OF STABLE DISTRIBUTIONS AND THEIR APPLICATIONS ⋮ Quasi orthogonal Jacobi polynomials and best one-sided \(L_1\) approximation to step functions ⋮ Polynomial operators for one-sided \(L_p\)-approximation to Riemann integrable functions

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