A theory of variations via $P$-statistical convergence

Kamil Demirci, Dragan Djurčić, Ljubiša Kočinac, Sevda Yildiz

We introduce some notions of variation using the statistical convergence with respect to power series method. By the use of the notions of variation, we prove criterions that can be used to verify convergence without using limit value. Also, some results that give relations between $P$-statistical variations are studied.