Generalized difference sequence spaces and generalized statistical convergence

SUMMARYMasters ThesisGENERALIZED DIFFERENCE SEQUENCE SPACESANDGENERALIZED STATISTICAL CONVERGENCEHakan ŞİMŞİRFırat UniversityGraduate School of Science TechnologyDepartment of Mathematics2006, Page: 32 + VThis study is prepared as five chapter.In the first chapter; the fundamental definitions and theorems are given.In the second chapter; statistical convergence statistical Cauchy sequence and strong p-Cesaro summable are examined.In the third chapter; generalized difference sequence spaces are examined.In the fourth chapter; ∆m - statistical convergence, ∆m -statistical Cauchy sequence andstrong ∆ p - Cesaro summable are examined.mIn the fifth chapter; Difference sequence spaces defined by using a modulus functionand ∆ q - statistical convergence are examined.mKey Words: Statistical convergence, strong ∆ p - Cesaro convergence.m