A theorem on entire four dimensional summability methods
Document Type
Article
Publication Date
2-27-2013
Abstract
This paper introduce the following concept of double entire double sequences. Let x={xk,l} be a double sequence of complex numbers. Then the double sequence {x} is entire provided that ∑k,l=0,0 |Χk,l|pkql< ∞ for every positive integers p and q. Using this definition I will also introduce the notion Four dimensional entire summability method. The author uses the notions to prove directly necessary and sufficient condition which ensure that a four dimensional transformation is entire. © 2013 Elsevier Inc. All rights reserved.
Publication Title
Applied Mathematics and Computation
Volume
219
Issue
14
First Page
7777
Last Page
7782
Digital Object Identifier (DOI)
10.1016/j.amc.2013.02.002
ISSN
00963003
Citation Information
Patterson. (2013). A theorem on entire four dimensional summability methods. Applied Mathematics and Computation, 219(14), 7777–7782. https://doi.org/10.1016/j.amc.2013.02.002
