APPROXIMATION by NONLINEAR FOURIER BASIS in GENERALIZED HÖLDER SPACES

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Yildiz Technical University

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info:eu-repo/semantics/closedAccess

Özet

In this paper, the value of deviation of a function f from its nth generalized de la Vallèe-Poussin mean Vna(?, f) with respect to the nonlinear trigonometric system is estimated for the classes of 2?-periodic functions in the uniform norm

C(T) and in the generalized Hölder norm

?? where f ? H??(T) and 0 ? ? < ? ? 1. © 2019 Yildiz Technical University. All Rights Reserved.

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Generalized de la Vallèe-Poussin means, generalized Hölder class, nonlinear Fourier basis

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Sigma Journal of Engineering and Natural Sciences

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10

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Onay

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