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Theorem demonstrates improved approximation for Lipschitz functions using product summability methods, suggesting enhanced convergence.
In this paper, we have established a theorem concerning the degree of approximation of functions f ∈ Lipα 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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Jens et al. (2025) studied this question.
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