On estimating the rate of best trigonometric approximation by a modulus of smoothness

DOI10.1007/s10474-011-0072-8zbMath1240.42004OpenAlexW2138852571MaRDI QIDQ653850

Parvan E. Parvanov, Borislav R. Draganov

Publication date: 19 December 2011

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-011-0072-8

zbMATH Keywords

modulus of smoothnessbest trigonometric approximation\(K\)-functional, trigonometric B-spline

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Best approximation, Chebyshev systems (41A50) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Rate of convergence, degree of approximation (41A25)

Related Items

An improved Jackson inequality for the best trigonometric approximation

Cites Work

• The Jackson-Stechkin inequality in \(L^2\) with trigonometric modulus of continuity
• On the exact constant in the Jackson-Stechkin inequality for the uniform metric
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