Abstract
We shall need weighted moduli of smoothness in some significant situations of which the following are examples:
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(a)
Investigation of the K-functional of the pair of spaces: a weighted L p space and a weighted Sobolev space.
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(b)
Relation between modulus of smoothness of a function and that of its derivative (which turns out to be a weighted modulus of smoothness).
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(c)
Applications to best weighted polynomial approximation.
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(d)
Applications to weighted approximation of some linear operators.
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© 1987 Springer-Verlag New York Inc.
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Ditzian, Z., Totik, V. (1987). Weighted Moduli of Smoothness. In: Moduli of Smoothness. Springer Series in Computational Mathematics, vol 9. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-4778-4_7
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DOI: https://doi.org/10.1007/978-1-4612-4778-4_7
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-9151-0
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