This article is cited in 3 papers

On uniform and asymptotic approximation on the real axis by entire functions of restricted growth

N. U. Arakelian


Abstract: This paper establishes results, including both necessary and sufficient conditions, on uniform or asymptotic approximation on the real axis, by entire functions with the slowest possible growth in the complex plane, to arbitrary continuous or continuously differentiable functions, or to functions that are holomorphic in a strip. These results generalize and improve similar results of Bernstein, Keldysh, and others.
Bibliography: 20 titles.

UDC: 517.53/57

MSC: Primary 30E10; Secondary 41A30

Received: 16.04.1980

 English version: Mathematics of the USSR-Sbornik, 1982, 41:1, 1–32

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