New summability methods via $\\widetilde{\\phi}$ functions

Authors : Rabia SAVAS

Pages : 449-461

Doi:10.31801/cfsuasmas.1114983

View : 32 | Download : 39

Publication Date : 2023-06-23

Article Type : Research Paper

Abstract :In 1971, the definition of Orlicz $\\widetilde{\\phi}$ functions was introduced by Lindenstrauss and Tzafriri and moreover in 2006, the notion of double lacunary sequences was presented by Savaş and Patterson. The primary focus of this article is to introduce the double statistically $\\widetilde{\\phi }$-convergence and double lacunary statistically $\\widetilde{\\phi }$-convergence which are generalizations of the double statistically convergence [19] and double lacunary statistically convergence [24]. Additionally, some essential inclusion theorems are examined.
Keywords : \\widetilde \\phi convergence, Double sequences, Orlicz function, lacunary double sequence, double statistical convergence