Approximation of functions regular in convex polyhedrons by exponential polynomials of a special form

  • Yu. I. Melnik Ин-т математики АН Украины, Киев

Abstract

We construct exponential polynomials of special form which sufficiently well approximate functions that are regular in an open convex polygon and continuous on its closure.

References

Леонтьев А. Ф. Ряды экспонент.— М. : Наука, 1976.— 536 с.

Мельник Ю. И. О скорости сходимости рядов экспонент, представляющих регулярные в выпуклых многоугольниках функции // Укр. мат. журн.— 1985.— 37, № 6.—С.719—722.

Published
02.04.1992
How to Cite
Melnik , Y. I. “Approximation of Functions Regular in Convex Polyhedrons by Exponential Polynomials of a Special Form ”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 44, no. 3, Apr. 1992, pp. 424-6, https://umj.imath.kiev.ua/index.php/umj/article/view/8112.
Section
Short communications