Interpolation and \(L_1\)-approximation by trigonometric polynomials and blending functions
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Publication:452067
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
trigonometric polynomials\(L_1\)-approximationcanonical set of best \(L_1\)-approximationone-sided \(L_1\)-approximationtransfinite interpolationtrigonometric blending functions
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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