ABSTRACT
This chapter devotes to the domains of some particular summability matrices, with a special emphasize on the Cesaro, difference, mth-order difference, Euler, Riesz and weighted mean sequence spaces, and other spaces derived in the way. Altay and Basar employ the duality relation between a pair of infinite matrices such that one of them applied to the sequences in a Riesz space and the other one applied to the sequences in a space, which is isomorphic to the Riesz space. In recent years, generalizations of statistical convergence have appeared in the study of strong integral summability and the structure of ideals of bounded continuous functions on locally compact spaces. Statistical convergence and its generalizations are also connected with subsets of the Stone-Cech compactification of the natural numbers. Moreover, statistical convergence is closely related to the concept of convergence in probability.
