Ideal convergence on some sequence spaces

This research consist of four chapter. In the first chapter, the resarches, which are conducted on the consepts about the thesis, have been mentioned. In the second chapter, Ideal convergence, Orlicz function, lacunary sequence consepts are discoursed by defining the consepts which which will be used in later sections. In the third chapter, the new sequence space have been defined by gathering ideal convergence and ideal bounded sequence space with general an triangular infinite matrix and Orlicz function consepts. Afterwards, it has been proved that various inclusion relations are provided about these sequence spaces. In the four chapter, different sequence spaces have been defined by adding also the lacunary sequences which was created in the third section. It is going to be observed that these sequence spaces which are stated on consepts are cross checked the studies about sequence spaces which are created in previous chapter.