Difference sequence spaces derived by using generalized means
Manna, A., Maji, A., Srivastava, P. (2015). Difference sequence spaces derived by using generalized means. EKB Journal Management System, 23(1), 127-133. doi: 10.1016/j.joems.2014.02.010
Atanu Manna; Amit Maji; P.D. Srivastava. "Difference sequence spaces derived by using generalized means". EKB Journal Management System, 23, 1, 2015, 127-133. doi: 10.1016/j.joems.2014.02.010
Manna, A., Maji, A., Srivastava, P. (2015). 'Difference sequence spaces derived by using generalized means', EKB Journal Management System, 23(1), pp. 127-133. doi: 10.1016/j.joems.2014.02.010
Manna, A., Maji, A., Srivastava, P. Difference sequence spaces derived by using generalized means. EKB Journal Management System, 2015; 23(1): 127-133. doi: 10.1016/j.joems.2014.02.010

Difference sequence spaces derived by using generalized means

Journal of the Egyptian Mathematical Society
Volume 23, Issue 1, 2015, Page 127-133  XML PDF (496.96 K)
Document Type: Original Article
DOI: 10.1016/j.joems.2014.02.010
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Authors
Atanu Manna* ; Amit Maji; P.D. Srivastava
Department of Mathematics, Indian Institute of Technology, Kharagpur, Kharagpur 721 302, West Bengal, India
Abstract
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.
Keywords
Sequence spaces; Schauder basis; Difference operator; Generalized means; a-, b-, c-duals; Matrix transformations
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