SOME INEQUALITIES RELATED TO THE PRINGSHEIM, STATISTICAL AND sigma-CORES OF DOUBLE SEQUENCES

作者：Cakan Celal^*; Altay Bilal; Coskun Husamettin

来源：Hacettepe Journal of Mathematics and Statistics, 2013, 42(2): 115-123.

• Double sequences
• four dimensional matrices
• core theorems and matrix transformations

The statistical convergence of double sequences was presented by Mursaleen-Edely and Tripathy in two ways, [10, 16]. The statistical core of double sequences was introduced by Cakan- Altay, [1]. The sigma-convergence and sigma-core of double sequences were defined by Cakan-Altay-Mursaleen, [5]. In this paper, we will study some new inequalities related to the Pringsheim, statistical and sigma-cores of double sequences. To achieve this goal, we will characterize some classes of four-dimensional matrices.

• 出版日期2013-4