On the approximation of periodic functions by de la Vallee Poussin sums

DOI10.1007/BF01904859zbMath0393.41009MaRDI QIDQ1252480

S. B. Stechkin

Publication date: 1978

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

zbMATH Keywords

Best ApproximationApproximation of Periodic Functions By De La Vallee Poussin SumsTrigonemetric PolynomialsUniform Error Norm

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Approximation by other special function classes (41A30) Approximation by arbitrary linear expressions (41A45)

Related Items (23)

Sharpening of Stečkin's theorem to strong approximation with exponent \(p\) ⋮ Approximation of functions by de la Vallée-Poussin sums in weighted Orlicz spaces ⋮ On the approximation by de la Vallée Poussin sums and interpolatory polynomials in Lipschitz norms ⋮ Pointwise analog of the Stečkin approximation theorem ⋮ Lebesgue inequality in the mean ⋮ Approximation of differentiable functions by rectangular repeated de la Vallée Poussin means ⋮ Approximation of functions by Vallee-Poussin sums ⋮ Lebesgue-type inequalities for the de la Valée-Poussin sums on sets of analytic functions ⋮ Approximation of functions of several variables by de la Vallee Poussin rectangular sums ⋮ The \(L^1\) norms of de la Vallée Poussin kernels ⋮ Approximation of functions of class \(C(\epsilon)\) by subsequences of de la Vallée-Poussin sums ⋮ Saturation theorems for Hermite-Fourier series ⋮ On the norms and minimal properties of de la Vallée Poussin's type operators ⋮ Aspects of de La Vallée Poussin's work in approximation and its influence ⋮ On Hermite-Fourier series ⋮ Approximation of functions by the Fourier-Walsh sums ⋮ Sharpening of Stečkin's theorem to strong approximation ⋮ Approximation of functions of several variables by Féjer sums ⋮ My First Meetings with Konstantin Oskolkov ⋮ On the best approximation and polynomials of the least quadratic deviation ⋮ On certain properties of linear summation methods of Fourier series on the class C(epsilon) ⋮ Simultaneous approximation properties of de la Vallée-Poussin means in weighted Orlicz spaces ⋮ Best approximation and the Fourier-Jacobi sums

Cites Work

• Stone Duality for Nominal Boolean Algebras with И
• The Brauer-Manin Obstruction and III[2]
• Unnamed Item

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