Summability Methods Based on the Riemann Zeta Function
نویسنده
چکیده
This paper is a study of summability methods that are based on the Riemann Zeta function. A limitation theorem is proved which gives a necessary condition for a sequence x to be zeta summable. A zeta summability matrix Z associated with a real sequence is introduced; a necessary and sufficient condition on the sequence such that Z maps 11 to 11 is established. Results comparing the strength of the zeta method to that of well-known summability methods are also investigated.
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