Ideal convergence in n-normal spaces and some new sequence spaces via n-norm

Abstract

In this paper we introduced some new sequence spaces using n-normed spaces and gave some preliminary result for matrix transformations between some sequence spaces. 2000 Mathematics Subject Classification. Primary 40A05, 40A45; Secondary 46A70.

Generalized weighted random convergence in probability

“…al. [25], (iv) weighted k-statistical convergence by Belen and Mohiuddine [2], (v) statistical convergence in probability by Ghosal [14,15], (vi) statistical convergence of a sequence of random function in probabilistic metric space by Sencimen [31], (vii) ab-statistical convergence by Aktuglu [1], (viii) A-statistical limit points via ideals by Gürdal and Sari [20], (ix) ideal convergence in n-norms space by Gürdal [19] and Gürdal and Huban [21], and so on.…”

Weighted statistical convergence of order α and its applications

“…Now the idea of statistical convergence has turned out to be one of the most active areas of research in summability theory after the works of Sˇala´t [7], Fridy [8] and Gu¨rdal [9,10] and it has several generalizations and applications like:…”

Fuzzy real valued I-convergent double sequences in fuzzy normed spaces

“…Kumar and Kumar [34], Savas [48], Nabin et al [42], Dems [9], Kostyrko et al [33] and many other authors. Also I-convergence has been discussed in more general abstract spaces such as the fuzzy normed spaces [36], 2-normed linear spaces [16], n-normed linear spaces [17]. The notion of intuitionsitc fuzzy sets initially introduced by Anastassiou [2].…”