منابع مشابه
On the Restricted Cesaro Summability of Double Fourier Series
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We show that in the א2-stage countable support iteration of Mathias forcing over a model of CH the complete Boolean algebra generated by absolutely divergent series under eventual dominance is not isomorphic to the completion of P (ω)/fin. This complements Vojtáš’ result, that under cf(c) = p the two algebras are isomorphic [15].
متن کاملNeutrix Limit on Divergent Series
In this paper, we give a simple and straight forward definition for the neutrix limit of divergent series and use it to study the neutrix limits of the divergent series ralated to the Rieman-Zeta function ζ(α) and some series related to the polylogarith function Lin(z). Then, we apply the reults to some specific examles. Our reults on Riemann-Zeta function and its derivatives are consistent wit...
متن کاملComputing sums of conditionally convergent and divergent series using the concept of grossone
Let a1, a2, . . . be a numerical sequence. In this talk we consider the classical problem of computing the sum ∑∞ n=1 an when the series is either conditionally convergent or divergent. We demonstrate that the concept of grossone, proposed by Ya. Sergeyev in [1], can be useful in both computing this sum and studying properties of summation methods. First we prove that within the grossone univer...
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ژورنال
عنوان ژورنال: Communications Faculty Of Science University of Ankara
سال: 1974
ISSN: 1303-6009
DOI: 10.1501/commua1-2_0000000008