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.
Vergleich ..-beschränkter Wirkfelder mit Hilfe von Quotientendarstellungen.