DOI

We establish sharp estimates for the best approximations of convolution classes by entire functions of exponential type. To obtain these estimates, we propose a new method for testing Nikol’skiĭ-type conditions which is based on kernel periodization with an arbitrarily large period and ensuing passage to the limit. As particular cases, we obtain sharp estimates for approximation of convolution classes with variation diminishing kernels and generalized Bernoulli and Poisson kernels.

Язык оригиналаанглийский
Страницы (с-по)190-204
Число страниц15
ЖурналSiberian Mathematical Journal
Том58
Номер выпуска2
DOI
СостояниеОпубликовано - 1 мар 2017

    Предметные области Scopus

  • Математика (все)

ID: 15680199