Some new sequence spaces defined by Orlicz functions

ABSTRACT Master Thesis SOME NEW SEQUNECE SPACES DEFINED BY ORLICZ FUNCTIONS Beyhan KOYUNBAKAN Fırat University Graduate School of Science and Technology Department of Mathematics 2005, Page : 30 This thesis has been arranged as two sections. In the first section main definitions and theorems were given. In addition, the concepts of statical convergence and Cesâro summability were defined and some relations related to these concepts were examined. Some known properties of the almost convergence, lacunary sequences and difference sequences were given. In the second section, by using an Orlicz function and seminorm, three new difference sequence spaces and the the concept of A^- lacunary statical convergence were defined and some relations related the concepts were given. Key Words: Sequence space, Orlicz function, Cesâro summability VI