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Trigonometric approximation of functions in seminormed spaces

Trigonometric approximation of functions in seminormed spaces

In this paper, we study the approximation properties of 2π -periodic functions in a seminormed space.We use a general matrix method of summability, and the moduli of continuity in the seminormed space as a measure of approximation.Our results generalize and improve some of the previous results available in the literature.