Best approximation of functions in generalized Hölder class

广义 Hölder 类中函数的最佳逼近

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Abstract

Here, for the first time, error estimation of the functions g ∈ Hz(w) and g˜ ∈ Hz(w) classes using TC1 method of F. S. (Fourier Series) and C. F. S. (Conjugate Fourier Series), respectively, are determined. The results of (Dhakal in Int. Math. Forum 5(35):1729-1735, 2010; Dhakal in Int. J. Eng. Technol. 2(3):1-15, 2013; Kushwaha and Dhakal in Nepal J. Sci. Technol. 14(2):117-122, 2013) become the particular cases of our Theorem 2.1. Some important corollaries are also deduced from our main theorems.

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