STATISTICAL CONVERGES OF SERIES AND STATISTICAL PETTIS INTEGRATION

Caushi, Anita and Musta, Ervenila (2023) STATISTICAL CONVERGES OF SERIES AND STATISTICAL PETTIS INTEGRATION. Journal of Natural Sciences and Mathematics of UT, 8 (15-16). pp. 315-321. ISSN 2545-4072

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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.

Item Type:	Article
Uncontrolled Keywords:	st-convergence, st-measurability st-weakly measurability, st-intergrability st-Dunford integrable, st-Pettis integrable st-uncoditional convergence of series
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Engineering, Science and Mathematics > School of Mathematics
Depositing User:	Unnamed user with email zshi@unite.edu.mk
Date Deposited:	04 Nov 2023 23:32
Last Modified:	04 Nov 2023 23:32
URI:	http://eprints.unite.edu.mk/id/eprint/1532

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