Ueber Riemann's Convergenzcriterium.
Ueber trigonometrische Reihen
Ueber Verallgemeinerung eines Satzes von Cauchy .
Uebr die Convergenz einer aus Primzahlpotenzen gebildeten unendlichen Reihe
Un modèle de filtres pour l'analyse réelle synthétique
Uniform convergence of power series expansions on the boundary.
Vacca-type series for values of the generalized Euler constant function and its derivative.
Variants of Karamata's Iteration Theorem
Vector series whose lacunary subseries converge
The area of research of this paper goes back to a 1930 result of H. Auerbach showing that a scalar series is (absolutely) convergent if all its zero-density subseries converge. A series in a topological vector space X is called ℒ-convergent if each of its lacunary subseries (i.e. those with ) converges. The space X is said to have the Lacunary Convergence Property, or LCP, if every ℒ-convergent series in X is convergent; in fact, it is then subseries convergent. The Zero-Density Convergence...
Vector valued paranormed statistically convergent double sequence spaces
Vector-valued sequence space and its properties
In this paper, a vector topology is introduced in the vector-valued sequence space and convergence of sequences and sequentially compact sets in are characterized.
Vector-valued sequence spaces generated by infinite matrices.
What should be a rate of convergence ?
Zur Reihe der Primzahlreziproken.
Zur Theorie der zweifach unendlichen Zahlenfolgen
-almost summable sequences.
-statistical convergence
σ-asymptotically lacunary statistical equivalent sequences
This paper presents the following definitions which is a natural combination of the definition for asymptotically equivalent, statistically limit, lacunary sequences, and σ-convergence. Let ϑ be a lacunary sequence; Two nonnegative sequences [x] and [y] are S σ,8-asymptotically equivalent of multiple L provided that for every ε > 0 uniformly in m = 1, 2, 3, ..., (denoted by x y) simply S σ,8-asymptotically equivalent, if L = 1. Using this definition we shall prove S σ,8-asymptotically equivalent...
Исследование сходимости в задаче спрямления
О множестве сумм условно сходящегося функционального ряда