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On the absolute Cesàro summability factors of infinite series

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Abstract

The author has established that if {λ n | is a convex sequence such that the series\(\sum {\frac{{\lambda _n }}{n}} \) is convergent and if Σa n is bounded [R, logn, 1] with indexk, then\(\sum {a_n \lambda _n } \) is summable |C, 1|k fork>1. The casek=1 of the theorem is due to Pati [3].

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Authors and Affiliations

  1. Gorakhpur, India

    Babban Prasad Mishra

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  1. Babban Prasad Mishra
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Mishra, B.P. On the absolute Cesàro summability factors of infinite series. Rend. Circ. Mat. Palermo 14, 189–194 (1965). https://doi.org/10.1007/BF02847718

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