On Best Polynomial Approximations in L2

被引：0
|
作者：
S. B. Vakarchuk
机构：
[1] Customs Academy of the Ukraine,
来源：
Mathematical Notes | 2001年 / 70卷
关键词：
best polynomial approximation; exact constants in Jackson-type inequalities; space of 2π-periodic measurable square-integrable functions; modulus of smoothness of ; th order;
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摘要：
For the τ-moduli of smoothness of mth order, we calculate exact constants in Jackson-type inequalities. We also obtain the exact values of the n-widths of classes of functions whose rth derivatives are characterized by τ-moduli of smoothness majorized by functions satisfying certain constraints. We present an example of the majorant for which all the stated requirements are satisfied.
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页码：300 / 310
页数：10
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