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July 30, 20250 citationsOpen Access

Investigating the Degree of Approximation of Fourier Series Through Product Means

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PJPrabir JensLPLaxmipriya PatiRJR.K. Jati

Key Points

  • 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.

Abstract

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. (2025) studied this question.

synapsesocial.com/papers/689a0945e6551bb0af8cf00ehttps://doi.org/10.20944/preprints202507.2160.v1
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