This article is cited in 1 paper

Beste Approximation von Elementen eines nuklearen Raumes

A. A. Zakharov

V. A. Steklov Institute of Mathematics, Sverdlovsk Branch of the Academy of Sciences of USSR

Abstract: We show that
$$ |f(x)-V_{n,m}(f,x)|\leqslant\frac C{m+1}\sum^n_{k=n-m}E_k\left[1+\ln\left(1+\frac{n-m}{k-n+m+1}\right)\right], $$
for every continuous function with period $2M$, where $C$ is an absolute constant and $0\le m\le n$, and we then apply this bound.

UDC: 517.5

Received: 24.07.1967

 English version: Mathematical Notes, 1968, 3:1, 45–49

Bibliographic databases:

• 
•