This thesis is contributed to development of single sequence space of GAI and it can be further extended to double orlicz sequence space of GAI. This thesis has had its following major contributions namely SEMI orlicz space of GAI of analytic, orlicz space of GAI, a subset of the space of the orlicz space of GAI sequences, SEMI-integrated orlicz of GAI conservative spaces, matrix transformations on orlicz space of GAI, difference orlicz space of GAI, new double GAI sequence space defined by a modulus functions.
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