Cesàro Summability of Double Sequences of Sets

Cesàro Summability of Ordinary Double Dirichlet Series

STATISTICAL CONVERGENCE AND STRONG p−CESÀRO SUMMABILITY OF ORDER β IN SEQUENCES OF FUZZY NUMBERS

In this study we introduce the concepts of statistical convergence of order β and strong p−Cesàro summability of order β for sequences of fuzzy numbers. Also, we give some relations between the statistical convergence of order β and strong p−Cesàro summability of order β and construct some interesting examples.

A Tauberian theorem for $(C,1,1)$ summable 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.

A New Factor Theorem for Generalized Cesàro Summability

In [6], we proved a theorem dealing with an application of quasi-f-power increasing sequences. In this paper, we prove that theorem under less and weaker conditions. This theorem also includes several new results.

A note on generalized absolute Cesàro summability

In this paper, a known theorem dealing with | C, 1 |k summability methods has been generalized under weaker conditions for | C, α, β ; δ |k summability methods. Some new results have also been obtained. AMS subject classifications: 40D15, 40F05, 40G99