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On the degree of approximation of functions belonging to a Lipschitz class by Hausdorff means of its fourier series |
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| Authors: | BE Rhoades Kevser Ozkoklu |
| Institution: | a Department of Mathematics, Indiana University, Bloomington, IN 47405-7106, USA b Yildiz Technical University, Faculty of Chemistry and Metallurgy, Department of Mathematical Engineering, Davutpasa, Istanbul, Turkey |
| Abstract: | In a recent paper Lal and Yadov 4] obtained a theorem on the degree of approximation for a function belonging to the Lipschitz class Lipα using the product of the Cesàro and Euler means of order one of its Fourier series. In this paper we extend this result to any regular Hausdorff matrix for the same class of functions. |
| Keywords: | Degree of approximation Fourier series Hausdorff matrices |
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