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A Note on the Degree of Approximation by Matrix Means in the Generalized Hölder Metric

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Ukrainian Mathematical Journal Aims and scope

The aim of the paper is to determine the degree of approximation of functions by matrix means of their Fourier series in a new space of functions introduced by Das, Nath, and Ray. In particular, we extend some results of Leindler and some other results by weakening the monotonicity conditions in the results obtained by Singh and Sonker for some classes of numerical sequences introduced by Mohapatra and Szal and present new results by using matrix means.

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Authors and Affiliations

  1. Mersin University, Yenișehir/Mersin, Turkey

    U. Değer

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  1. U. Değer
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 68, No. 4, pp. 485–494, April, 2016.

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Değer, U. A Note on the Degree of Approximation by Matrix Means in the Generalized Hölder Metric. Ukr Math J 68, 545–556 (2016). https://doi.org/10.1007/s11253-016-1240-3

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  • DOI: https://doi.org/10.1007/s11253-016-1240-3

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