Some generalized sequence spaces and some types of convergence

ABSTRACT Master Thesis Some Generalized Sequence Spaces- end some types of Convergence, Çiğdem ASMA Fırat University Graduate School of Science and Technology Department of Mathematics 1997, Page:54 This thesis contains four chapters. The first chapter deals with some basic definitions and theorems. in the second chapter; convergence, almost convergence, strongly almost convergence, invariant convergence, strongly invariant convergence, statistically convergence, cr- statistically convergence and absolutely almost convergence are examined. In the third chapter, some sequence spaces and some relations between these spaces are given, furthermore a-, ?- ve y- duals of these spaces and some generalized sequence spaces are examined. Fourth chapter is the orijinal part of this thesis. In this chapter, the invariant space is defined and the inclusion relations between some generalized difference sequence spaces are mentioned. KEY WORDS: Convergence, Sequence Spaces, ?- Dual, (J- Dual,?- Dual