This paper deals with new sequence spaces Xðr;s; t;DÞ for X 2 fl1; c; c0g defined by using generalized means and difference operator. It is shown that these spaces are complete normed linear spaces and the spaces Xðr;s;t; DÞ for X 2 fc; c0g have Schauder basis. Furthermore, the a-, b-, c-duals of these sequence spaces are computed and also established necessary and sufficient conditions for matrix transformations from Xðr;s; t;DÞ to X.
Manna, A., Maji, A., & Srivastava, P. (2015). Difference sequence spaces derived by using generalized means. Journal of the Egyptian Mathematical Society, 23(1), 127-133. doi: 10.1016/j.joems.2014.02.010
MLA
Atanu Manna; Amit Maji; P.D. Srivastava. "Difference sequence spaces derived by using generalized means", Journal of the Egyptian Mathematical Society, 23, 1, 2015, 127-133. doi: 10.1016/j.joems.2014.02.010
HARVARD
Manna, A., Maji, A., Srivastava, P. (2015). 'Difference sequence spaces derived by using generalized means', Journal of the Egyptian Mathematical Society, 23(1), pp. 127-133. doi: 10.1016/j.joems.2014.02.010
VANCOUVER
Manna, A., Maji, A., Srivastava, P. Difference sequence spaces derived by using generalized means. Journal of the Egyptian Mathematical Society, 2015; 23(1): 127-133. doi: 10.1016/j.joems.2014.02.010
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