Weighted Moduli of Smoothness
Investigation of the K-functional of the pair of spaces: a weighted L p space and a weighted Sobolev space.
Relation between modulus of smoothness of a function and that of its derivative (which turns out to be a weighted modulus of smoothness).
Applications to best weighted polynomial approximation.
Applications to weighted approximation of some linear operators.
KeywordsWeighted Sobolev Space Smoothness Property Classical Modulus Weighted Modulus Gamma Operator
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