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Physical Sciences and Engineering Mathematics Analysis

On equivalence of moduli of smoothness of polynomials in Lp, 0<p⩽∞

Article ID Journal Published Year Pages File Type
9500726 Journal of Approximation Theory 2005 16 Pages PDF
Abstract
It is well known that ωr(f,t)p⩽tωr-1(f′,t)p⩽t2ωr-2(f″,t)p⩽⋯ for functions f∈Wpr, 1⩽p⩽∞. For general functions f∈Lp, it does not hold for 0
Keywords
41A1041A17Weighted moduli of smoothness42A10Moduli of smoothnessEquivalencePolynomials
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Preview
On equivalence of moduli of smoothness of polynomials in Lp, 0<p⩽∞
Authors
Yingkang Hu, Yongping Liu,
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Journal
Journal of Approximation Theory
Journal: Journal of Approximation Theory
Related Categories
41A10
41A17
Weighted moduli of smoothness
42A10
Moduli of smoothness
Equivalence
Polynomials
Algebra and Number Theory
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