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Journal Article

Equiconvergence of Matrix Transformations

K. A. Jukes
Proceedings of the American Mathematical Society
Vol. 69, No. 2 (May, 1978), pp. 261-270
DOI: 10.2307/2042609
Stable URL: http://www.jstor.org/stable/2042609
Page Count: 10

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Topics: Mathematical theorems, Mathematical constants, Integers, Matrices, Prime numbers, Partial sums
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Equiconvergence of Matrix Transformations
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Abstract

Equiconvergence of matrix transformations is related to the existence of Tauberian constants. Agnew's result on the equiconvergence of Cesàro and Riesz means is shown to be best possible. Finally, equiconvergence of equivalent arithmetical summation methods related to the prime number theorem is investigated.

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