2014
DOI: 10.1186/1687-1847-2014-163
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Domain of the double sequential band matrix in the spaces of convergent and null sequences

Abstract: What stands out in this article is the sequence spaces of a new brand c λ 0 ( B) and c λ ( B), derived by using a double sequential band matrix B(r,s) which generalizes the previous work of Sönmez and Başar (Abstr. Appl. Anal. 2012Anal. :435076, 2012, where (r n )

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Cited by 34 publications
(23 citation statements)
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“…must satisfy the conditions of (2) of Lemma 1. Equation (12) has been satisfied in Theorem 10. Now, we must demonstrate Equation (13).…”
Section: Generalized Fibonacci Difference Spaces Of Bs and Cs Sequencesmentioning
confidence: 99%
“…must satisfy the conditions of (2) of Lemma 1. Equation (12) has been satisfied in Theorem 10. Now, we must demonstrate Equation (13).…”
Section: Generalized Fibonacci Difference Spaces Of Bs and Cs Sequencesmentioning
confidence: 99%
“…In the book of Basar [13], it can be seen that the qualified studies about matrix domain(also, [4]- [12], [18], [19], [20], [31], [33]- [36]).…”
Section: Fractional Order Differencementioning
confidence: 99%
“…The concept of matrix domain has fundamental importance for this study. So, the matrix domain of an infinite matrix A in a sequence space λ is defined by 2) which is a sequence space. If A = , where is the backward difference matrix defined by…”
Section: Introductionmentioning
confidence: 99%