Absolute, with degree $$$p$$$, matrix summability of the sequences $$$\{ n B_n(t) \}$$$

N.S. Novikova (Dnipropetrovsk State University)

Abstract


We establish conditions of absolute, with degree $$$p$$$, matrix summability of the sequences $$$\{ n B_n(t) \}$$$ and prove the application of obtained results for Voronoi-Nörlund method.

References


Bosanquet L.S., Hyslop J.M. "On the absolute summability of the allied series of a Fourier series", Math. Z., 1937; 42: pp. 489-512. doi:10.1007/BF01160091

Kishore N., Hotta G. "A note on absolute Nörlund summability of a sequence of Fourier coefficients", The Math. Stud., 1972; 50A.

Prasad G., Mittal M.L. "On absolute matrix summability of a sequence of Fourier coefficients", Analele Univ. din Timisoara. Ser. sti. math., 1978; 16(1).




DOI: https://doi.org/10.15421/248715

  

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Copyright (c) 1987 N.S. Novikova

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ISSN (Online): 2664-5009
ISSN (Print): 2664-4991
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