Demirci, KamilYildiz, SevdaDirik, Fadime2025-03-232025-03-2320240354-5180https://doi.org/10.2298/FIL2413775Dhttps://hdl.handle.net/11486/4848In the 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 triangle-density, P triangle-statistical convergence, P triangle-statistical Cauchy are defined and investigated their relations. Also, we give the notion of P triangle-uniform integrability for characterization of P triangle-statistical and P triangle-strong convergence.eninfo:eu-repo/semantics/closedAccessTime scalesstatistical convergencepower series methodsArticle38134775478910.2298/FIL2413775D2-s2.0-85206247794Q3WOS:001329916300001Q2