On approximation of classes $W^1_{\infty}$ by Poisson sums

Authors

  • M. V. Gembarskyi Lesya Ukrainka Eastern European national university
  • U. Z. Grabova Lesya Ukrainka Eastern European national university
  • I. V. Kalchuk Lesya Ukrainka Eastern European national university

Abstract

We found asymptotic equalities for the least upper bounds of the approximation by Poisson sums of order $(n-1)$ on the class $W^{1}_{\infty}$ in the uniform metric.

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Published

2017-11-28

Issue

Vol. 14 No. 3 (2017): Differential equations and related problems of analysis

Section

Research papers

How to Cite

On approximation of classes $W^1_{\infty}$ by Poisson sums. (2017). Transactions of Institute of Mathematics, the NAS of Ukraine, 14(3), 93-101. https://trim.imath.kiev.ua/index.php/trim/article/view/313