Year: 2024
Type: article
Abstract: Inthe present paper, we introduce some new notions, such as convergence in the sense of power series method and strong convergence in the sense of power series method on an arbitrary time scale. Later, with the help of statistical convergence, the notions of P?-density, P?-statistical convergence, P?-statistical Cauchy are defined and investigated their relations. Also, we give the notion of P?-uniform integrability for characterization of P?-statistical and P?-strong convergence.
Source: Filomat
DOI: 10.2298/fil2413775d
Authors: Kamil Demirci, Sevda Yıldız, Fadime Dirik
Institution: Sinop University
Language: English
Subfield: Statistics and Probability
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4409702494