On trigonometric blending interpolation and cubature formulae

DOI10.1007/s00025-012-0280-8zbMath1253.41026OpenAlexW1994866003MaRDI QIDQ1759041

Dimiter P. Dryanov, Petar P. Petrov

Publication date: 19 November 2012

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-012-0280-8

zbMATH Keywords

trigonometric polynomialstrigonometric blending functionsHermite-Lagrange trigonometric interpolationone-sided trigonometric quadratures

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Trigonometric interpolation (42A15) Best approximation, Chebyshev systems (41A50) Approximation with constraints (41A29) Uniqueness of best approximation (41A52)

Cites Work

• Interpolation and \(L_1\)-approximation by trigonometric polynomials and blending functions
• Degree of simultaneous approximation of bivariate functions by Gordon operators
• Quadrature formulae with free nodes for periodic functions
• Best one-sided \(L^1\)-approximation of bivariate functions by sums of univariate ones
• On one-sided approximation by trigonometrical polynomials
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