This article is cited in 2 papers

The optimal recovery of smooth functions

B. D. Boyanov

Sofia University

Abstract: This article is an investigation of a circle of questions connected with optimal recovery of a function in a class of functions with smoothness determined by a differential operator. Linear methods of recovery are considered.

UDC: 517.5

MSC: Primary 41A50, 41A15, 46E35; Secondary 26A99

Received: 12.12.1984 and 04.05.1989

 English version: Mathematics of the USSR-Sbornik, 1991, 69:2, 357–377

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