Work

Asymptotics of approximation of conjugate functions by Poisson integrals

Year: 2019

Type: article

Abstract: We obtain a decomposition of the upper bound for the deviation of Poisson integrals of conjugate periodic functions. The decomposition enables one to provide the Kolmogorov–Nikol'skii constants of an arbitrary order.

Source: Acta et Commentationes Universitatis Tartuensis de Mathematica

DOI: 10.12697/acutm.2018.22.19

Authors: Yu. I. Kharkevych, K. V. Pozharska

Institutions: Lesya Ukrainka Volyn National University, National Academy of Sciences of Ukraine, Institute of Mathematics

Language: English

Topic: Approximation Theory and Sequence Spaces

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W2907810331

FWCI: 4.565

Cites:

Cited by: 31

Related to: 10