Strongly summable sequence spaces [V-(lamda), M, (delta), p, q, u] by defined Orlicz functions

SUMMARY Masters Thesis STRONGLY SUMMABLE SEQUENCE SPACES [V,\,M,A,p,q,u] BY DEFINED ORLİCZ FUNCTIONS Yusuf Kıraç Fırat University- Graduate School of Science and Technology Department of Mathematics 2005,Page:51 This study is prepared as seven chapter. In the first chapter; the fundemantel definitions and theorems are given. In the second chapter; statistically convergence, statistically cauchy sequence and Strongly p- Cesaro summability are examined. In the third chapter; A- statistically convergence are examined. In the third chapter; A- sequence spaces, A- statistically convergence, A- statistically cauchy sequence, strong Ap Cesaro convergence ve Generalized differance sequence spaces are examined. In the fifth chapter; Orlicz sequence spaces are examined. In the sixth chapter; the sequence spaces [V>, M, A, p, q, u]x, \V\, M, A, p, q, u]0 and [V\, M, A, p, q, u]^ defined by Orlicz functions and the properties of spaces are given. In the seventh chapter; S\ (Aq, u) -statistically Convergence are examined. KEY WORDS: Statistically convergence, A- statistically convergence, A- statistically convergence, strong Ap- Cesaro convergence, Orlicz sequence spaces,S,\ (Aq, u) -statistically convergence. XT