Démonstration d'un théorème de Gauss relatif aux séries
Démonstration nouvelle de la règle de convergence de Gauss
Dense sums
Développements de , de , de et de
Die Potenzreihe ... .
Divergent sequences satisfying the linear fractional transformations.
Divergent vector sequences {yₙ} with Δyₙ → 0
An approximation property of divergent sequences in normed vector spaces is discussed.
Dot product rearrangements.
Double sequence spaces over -normed spaces
In this paper, we define some classes of double sequences over -normed spaces by means of an Orlicz function. We study some relevant algebraic and topological properties. Further some inclusion relations among the classes are also examined.
Double Sequences and Iterated Limits in Regular Space
First, we define in Mizar [5], the Cartesian product of two filters bases and the Cartesian product of two filters. After comparing the product of two Fréchet filters on ℕ (F1) with the Fréchet filter on ℕ × ℕ (F2), we compare limF₁ and limF₂ for all double sequences in a non empty topological space. Endou, Okazaki and Shidama formalized in [14] the “convergence in Pringsheim’s sense” for double sequence of real numbers. We show some basic correspondences between the p-convergence and the filter...
Double Sequences and Limits
Double sequences are important extension of the ordinary notion of a sequence. In this article we formalized three types of limits of double sequences and the theory of these limits.
Double Series and Sums
In this paper the author constructs several properties for double series and its convergence. The notions of convergence of double sequence have already been introduced in our previous paper [18]. In section 1 we introduce double series and their convergence. Then we show the relationship between Pringsheim-type convergence and iterated convergence. In section 2 we study double series having non-negative terms. As a result, we have equality of three type sums of non-negative double sequence. In...
Dual pairs of sequence spaces.