Limit relation for various methods of approximation of periodic functions by splines and trigonometric polynomials

DOI10.1007/BF01905931zbMath0621.41019MaRDI QIDQ1089852

V. L. Velikin

Publication date: 1987

Published in: Analysis Mathematica (Search for Journal in Brave)

zbMATH Keywords

trigonometric polynomialsperiodic functionsEstimates of deviationmethods of approximation

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items (4)

Limit theorems in spline approximation ⋮ Studies on extremal problems of spline-approximation ⋮ Studies on extremal problems of spline-approximation ⋮ Almost convergence and generalized weighted mean. II

Cites Work

• Period, index and potential \(\text Ш\)
• Über die beste Auswahl der Knoten bei der Interpolation von Funktionen vermittels Hermitescher Splinefunktionen
• Characterizations of strong unicity in approximation theory
• Lipschitz conditions on uniform approximation operators
• On convergence and growth of partial sums of Fourier series
• L-splines
• Approximation by periodic spline interpolants on uniform meshes
• On the convergence of interpolating periodic spline functions of high degree
• Some theorems on Cebysev approximation
• Stone Duality for Nominal Boolean Algebras with И
• The Brauer-Manin Obstruction and III[2]
• The Approximation of Linear Functionals
• Lipschitz and strong unicity constants for changing dimension
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