In this paper,  we determine necessary and sufficient Tauberian conditions under which convergence in Pringsheim's sense of a double sequence of fuzzy numbers follows from its $(C,1,1)$ summability. These conditions are satisfied if the double sequence of fuzzy numbers is slowly oscillating in different senses. We also construct some interesting double sequences of fuzzy numbers.

in this paper,  we determine necessary and sufficient tauberian conditions under which convergence in pringsheim's sense of a double sequence of fuzzy numbers follows from its $(c,1,1)$ summability. these conditions are satisfied if the double sequence of fuzzy numbers is slowly oscillating in different senses. we also construct some interesting double sequences of fuzzy numbers.

*Correspondence: [email protected] 1Faculty of Education, Harran University, Şanlıurfa, Turkey Full list of author information is available at the end of the article Abstract New concepts of fλ,μ-statistical convergence for double sequences of order α̃ and strong fλ,μ-Cesàro summability for double sequences of order α̃ are introduced for sequences of (complex or real) numbers. Furthermore, we giv...

We define weighted mean summability method of double sequences in intuitionistic fuzzy normed spaces(IFNS), and obtain necessary sufficient Tauberian conditions under which convergence IFNS follows from their summability. This study reveals also results for some known summation methods the special cases.

in this paper, following the methods of connor, we introduce some new generalized double difference sequencespaces using summability with respect to a two valued measure, double infinite matrix and an orlicz function in 2-normed spaces which have unique non-linear structure and examine some of their properties.

where the s{j are the partial sums of a double series EM»./> which remain bounded for all (i, j). The necessary and sufficient conditions for regularity of Norlund means in the case of such double series have been given by C. N. Moore in Theorem II of Chapter II of his book4 entitled Summable series and convergence factors which will be subsequently referred to as S.S.C.F. In the case where the...

In this paper we define double weighted generator sequence and prove some Tauberian theorems under which the convergence of bounded double sequences follows from its summability by weighted means. Mathematics Subject Classification 2010: 40C05, 40E05.

After a brief summary of Tauberian conditions for ordinary sequences of numbers, we consider summability of double sequences of real or complex numbers by weighted meanmethods which are not necessarily products of related weighted mean methods in one variable. Our goal is to obtain Tauberian conditions under which convergence of a double sequence follows from its summability, where convergence ...