NEW SUMMABILITY METHODS VIA (?)over-tilde FUNCTIONS

Abstract

In 1971, the definition of Orlicz (phi) over tilde functions was introduced by Lindenstrauss and Tzafriri and moreover in 2006, the notion of double lacunary sequences was presented by Savas and Patterson. The primary focus of this article is to introduce the double statistically (phi) over tilde -convergence and double lacunary statistically (phi) over tilde -convergence which are generalizations of the double statistically convergence [19] and double lacunary statistically convergence [24]. Additionally, some essential inclusion theorems are examined.