On uniform approximations of almost periodic functions by entire functions of finite degree
Abstract
We give a new proof of the well-known Bernshtein statement that, among entire functions of degree $≤ σ$ which realize the best uniform approximation (of degree $σ$) of a periodic function on $(−∞,∞)$, there is a trigonometric polynomial of degree $≤ σ$. We prove an analog of the mentioned Bernshtein statement and the Jackson theorem for uniform almost periodic functions with arbitrary spectrum.
Published
25.09.1995
How to Cite
TimanM. F. “On Uniform Approximations of Almost Periodic Functions by Entire Functions of Finite Degree”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 47, no. 9, Sept. 1995, pp. 1274–1279, https://umj.imath.kiev.ua/index.php/umj/article/view/5528.
Issue
Section
Research articles