I-convergence and asymptotic I-equivalence of difference sequences

This thesis consists of six chapters. The first chapter is devoted to the introduction section and provides a general knowledge of literature. In the second chapter, we have given about the basic concepts needed. In the third chapter, I-convergence of difference sequences was defined and some matrix transformations between the new spaces were characterized. In the fourth chapter, asymptotic I-equivalence was investigated for difference sequences. In the fifth chapter, I-convergence of generalized difference sequences was studied and in the sixth chapter asymptotic I-equivalence was applied for generalized difference sequences.