Work

Approximation of Poisson integrals by r-repeated de la Vallee Poussin sums

Year: 2024

Type: article

Abstract: The paper investigates the approximation properties of linear means of Fourier series generated by repeated application of the de la Vallée Poussin summation method. Asymptotic formulas for the exact upper bounds of deviations of the r-repeated de la Vallée Poussin means on the classes of Poisson integrals of functions with bounded generalized derivatives are obtained. The derived relations, under certain conditions, represent asymptotically exact equalities.

Source: INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER RESEARCH

DOI: 10.47191/ijmcr/v12i10.08

Authors: Olga Rovenska, Maryna Dziuba

Institutions: Donbass State Engineering Academy, King Danylo University

Language: English

Topic: Approximation Theory and Sequence Spaces

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4403568007

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