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On the progressive and nörlund means of re-arranged partial sums of a Fourier series

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Abstract

In this paper we give a relation between the progressive and Nörlund means for any non-negative and non-increasing sequence. We prove two generalizations of a theorem of Szàsz and give other parallel results for progressive and Nörlund means.

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References

  1. Hardy G. H.,Notes on the theory of series (XVIII):On the convergence of Fourier series, Proc. Cambridge Phil. Soc. 31 (1935), 317–323.

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Authors and Affiliations

  1. Aligarh, India

    Neyamat Zaheer

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  1. Neyamat Zaheer
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Zaheer, N. On the progressive and nörlund means of re-arranged partial sums of a Fourier series. Rend. Circ. Mat. Palermo 15, 352–364 (1966). https://doi.org/10.1007/BF02844111

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  • DOI: https://doi.org/10.1007/BF02844111

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