- 期刊
SUMMABILITY METHODS BASED ON THE RIEMANN ZETA FUNCTION
摘要
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_t associated with a real sequence t is introduced; a necessary and sufficient condition on the sequence t such that Z_t maps l_1 to l_1 is established. Results comparing the strength of the zeta method to that of well-known summability methods are also investigated.
延伸閱讀
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