STATISTICAL CONVERGES OF SERIES AND STATISTICAL PETTIS INTEGRATION

Anita CAUSHI, Ervenila MUSTA

Abstract

Pettis and Dunford integrals are the most important concepts concerning the modern theory of probabilities. We extend this to a statistical form. In this paper, we prove the countable additive of the statistical Pettis integral. For this, we need some properties of the unconditional statistical convergence of series in Banach spaces. We give an example where we show that’ if a series is statistically unconditionally convergent then it is weakly absolutely statistically convergent.

Pages: 315 - 321