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Degree of approximation of signals in certain Lipschitz classes by the Zweier–Euler product summability method of Fourier series
Author(s) -
Das Shilpa,
Dutta Hemen
Publication year - 2021
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.7074
Subject(s) - mathematics , lipschitz continuity , degree (music) , euler's formula , fourier series , series (stratigraphy) , product (mathematics) , fourier transform , mathematical analysis , lipschitz domain , pure mathematics , geometry , paleontology , physics , acoustics , biology
The paper introduces the notion of a new product summability method, which is obtained by superimposing the Zweier method on the Euler method. This method is applied to obtain the degree of approximation of Fourier series of signals (functions) belonging to certain Lipschitz classes.