Abstract
In the present paper we determine a new estimate for the [F, dn] matrix method which is introduced by Jakimovsky (1959) as generalization of both the Euler Er method and Stirling-Karamata-Lototsky method. Further we extend the under weaker condition of Hölder metric using Cesro mean and [F, dn] mean the associate with Fourier series. We obtained a theorem on approximation of continuous function in the Hölder metric by (C, 1)[F, dn] means of its Fourier series.
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