July 30, 2025Open Access

Investigating the Degree of Approximation of Fourier Series Through Product Means

Puntos clave

The work establishes a theorem on approximation of functions in lipschitz class by product summability.
Findings reveal effective convergence behavior of Fourier series under specified summability techniques.
The method scrutinizes function approximation via the product means $(E.1)(N.p.q)$ in Fourier analysis.
These insights advance the understanding of approximation properties in Fourier series for mathematical analysis.

Resumen

In this paper, we have established a theorem concerning the degree of approximation of functions f Lip by means of the product summability method (E. 1) (N. p. q) applied to the Fourier series associated with a function. The result offers new insights into the convergence behavior and approximation properties of such summation techniques within the Lipschitz class, highlighting the effectiveness of product summability in Fourier analysis.

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Cite This Study

Jens et al. (Fri,) studied this question.

synapsesocial.com/papers/689a0945e6551bb0af8cf00e https://doi.org/https://doi.org/10.20944/preprints202507.2160.v1

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