Approximation of Function in generalized Hölder Class

Supriya Rani, H. K. Nigam

Abstract

IIn the present work, we study error estimation of a function g ∈ H(η) r (r ≥ 1) class using Matrix-Hausdorff (T ∆H) means of its Fourier series. Our Theorem 1 generalizes twelve previously known results. Thus, the results of [4-5, 11–16, 18, 26, 29-30] become the particular cases of our Theorem 1. Several useful results in the form of corollaries are also deduced from our Theorem 1.

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