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Some properties of the modulus of continuity

✍ Scribed by I. M. Kolodii; F. Khil'debrand


Publisher
SP MAIK Nauka/Interperiodica
Year
1971
Tongue
English
Weight
170 KB
Volume
9
Category
Article
ISSN
0001-4346

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πŸ“œ SIMILAR VOLUMES


The modulus of continuity in Lp
✍ V. I. Ivanov πŸ“‚ Article πŸ“… 1987 πŸ› SP MAIK Nauka/Interperiodica 🌐 English βš– 206 KB
Modulus of continuity in L2
✍ V. A. Yudin πŸ“‚ Article πŸ“… 1979 πŸ› SP MAIK Nauka/Interperiodica 🌐 English βš– 93 KB
Bernstein Polynomials and Modulus of Con
✍ Zhongkai Li πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 89 KB

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