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On the Problem of R. De Vore

Published online by Cambridge University Press:  20 November 2018

Geza Freud
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Let f∈Lp (1≤p<∞) 2π-periodic,

(1)

and let us consider the rth order moduli of continuity of f

(2)

R. de Vore stated the following conjectures:

(a) Let ηv→0 decreasingly,

(3)

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 17 , Issue 1 , 01 March 1974 , pp. 39 - 44
Copyright
Copyright © Canadian Mathematical Society 1974

References

1. Freud, G., On the L2-continuity moduli of functions, Periodica Mathematica (Budapest), in print.Google Scholar
2. de Vore, R., Inverse theorems for approximation by positive linear operators; preprint, Edmonton, 1972.Google Scholar