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Averaged modulus of continuity and bracket compactness

โœ Scribed by Yu. V. Malykhin

Book ID
110149710
Publisher
SP MAIK Nauka/Interperiodica
Year
2010
Tongue
English
Weight
498 KB
Volume
87
Category
Article
ISSN
0001-4346

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p n, j (x)= \ n j + x j (1&x) n& j of a given function f (x) on [0, 1], besides the convergence and approximation, preserve some properties of the original function. For example: (i) if f (x) is non-decreasing, then for all n 1, the B n ( f; x) are nondecreasing; (ii) if f (x) is convex, then for