Interpolation and \(L_1\)-approximation by trigonometric polynomials and blending functions

DOI10.1016/j.jat.2012.05.009zbMath1256.42003OpenAlexW2066508343MaRDI QIDQ452067

Petar P. Petrov, Dimiter P. Dryanov

Publication date: 19 September 2012

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

Full work available at URL: https://doi.org/10.1016/j.jat.2012.05.009

zbMATH Keywords

trigonometric polynomials\(L_1\)-approximationcanonical set of best \(L_1\)-approximationone-sided \(L_1\)-approximationtransfinite interpolationtrigonometric blending functions

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Interpolation in approximation theory (41A05)

Related Items (3)

Canonical sets of best \(L_1\)-approximation ⋮ On trigonometric blending interpolation and cubature formulae ⋮ On the error in transfinite interpolation by low-rank functions

Cites Work

• Degree of best approximation by trigonometric blending functions
• The operator \(D(D^ 2+1^ 2)\dots (D^ 2+n^ 2)\) and trigonometric interpolation
• Approximation theory in tensor product spaces
• Blending interpolation and best \(L^1\)-approximation
• Quadrature formulae with free nodes for periodic functions
• Best one-sided \(L^1\)-approximation of bivariate functions by sums of univariate ones
• Best one-sided \(L^1\)-approximation by blending functions of order \((2,2)\)
• On one-sided approximation by trigonometrical polynomials
• Some best-approximation theorems in tensor-product spaces
• One-sided approximation of functions
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