This article is cited in 1 paper

Approximating one class of finitely differentiable functions by another

S. N. Kudryavtsev


Abstract: Necessary and sufficient conditions are found for approximating (with preassigned accuracy in an integral metric) a class of functions with a given majorant for the moduli of continuity of the highest derivatives by another class.

MSC: 41A46, 41A63

Received: 31.08.1995

DOI: 10.4213/im118

 English version: Izvestiya: Mathematics, 1997, 61:2, 347–362

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