The Jackson-Stechkin inequality in \(L^2\) with trigonometric modulus of continuity
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Publication:1974389
DOI10.1007/BF02675594zbMath0960.42001OpenAlexW2066090444MaRDI QIDQ1974389
N. I. Chernykh, A. G. Babenko, Valerii T. Shevaldin
Publication date: 1 May 2001
Published in: Mathematical Notes (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02675594
trigonometric polynomialsJackson-type inequalitybest \(L^2\)-approximationmodulus of continuity in \(L_2\)
Trigonometric approximation (42A10) Best approximation, Chebyshev systems (41A50) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17)
Related Items (3)
An improved Jackson inequality for the best trigonometric approximation ⋮ On estimating the rate of best trigonometric approximation by a modulus of smoothness ⋮ Exact constants in Jackson-type inequalities and exact values of the widths of some classes of functions in \(L_{2}\)
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