This article is cited in 1 paper

Influence of geometric properties of space on the convergence of Cauchy's method in the best-approximation problem

V. I. Berdyshev

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

Abstract: The reciprocity of certain geometrical properties of finite-dimensional Banach space is established. The role of these properties in the construction of best-approximation elements by Cauchy's method is investigated.

UDC: 517.5

Received: 18.03.1969

 English version: Mathematical Notes, 1970, 8:3, 657–662

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