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Some inequalities between best approximations and moduli of continuity in an \(L_ 2 \)space

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Publication:1837866
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DOI10.1007/BF01140019zbMath0508.42002MaRDI QIDQ1837866

A. A. Ligun

Publication date: 1979

Published in: Mathematical Notes (Search for Journal in Brave)


zbMATH Keywords

Jackson's theoremerror of best L2 approximationweighted integral modulus


Mathematics Subject Classification ID

Trigonometric approximation (42A10) Trigonometric polynomials, inequalities, extremal problems (42A05)


Related Items (3)

Inequalities between best polynomial approximations and some smoothness characteristics in the space \(L_2\) and widths of classes of functions ⋮ Widths of some functional classes in the space \(L_2\) on a period ⋮ Widths of the classes of functions in the weight space \(L_{2 , \gamma } (\mathbb{R})\), \(\gamma = \mathrm{exp} ( - X^2)\)







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