Year: 2025
Type: article
Abstract: The Fourier series, known for expressing functions as sums of sines and cosines, can be refined in various ways to improve convergence and achieve more accurate signal approximation.Utilizing a product transform increases the convergence rate, resulting in a closer representation of the original signal.In this work, we introduce the notion of Euler-Banach operator to approximate functions in the Lebesgue class through the Fourier series and its conjugate series and also to establish two approximation theorems using our proposed summation operator.
Source: Problemy analiza
Authors: S. Sonker, N. Devi, B. B. Jena, S. K. Paikray
Language: English
Subfield: Statistics and Probability
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4416270795
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