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The main object of this study is to introduce the spaces $c_0(\widehat{F}^q)$ and $c(\widehat{F}^q)$ derived by the matrix $\widehat{F}^q$ which is the multiplication of Riesz matrix and Fibonacci matrix. Moreover, we find the $\alpha$-, $\beta$-, $\gamma$- duals of these spaces and give the characterization of matrix classes $(\Lambda(\widehat{F}^q),\Omega)$ and $(\Omega,\Lambda(\widehat{F}^q))$ for $\Lambda\in\{c_0,c\}$ and $\Omega\in\{\ell_1,c_0,c,\ell_\infty\}$.
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참고문헌 (36)
참고문헌 신청
A. Alotaibi / 2015 / Compact operators on some Fibonacci di erence sequence spaces / J. Inequal. Appl 2015:203
Altay, B / 2006 / Some Paranormed Riesz Sequence Spaces of Non-absolute Type / Southeast Asian Bulletin of Mathematics 30(4):591~608
Altay, Bilal / 2007 / Generalization of the sequence space l(p) derived by weighted mean / Journal of Mathematical Analysis and Applications 330(1):174~185
Altay, B / 2007 / Certain topological properties and duals of the matrix domain of a triangle matrix in a sequence space / J. Math. Anal. Appl 336(1):632~645
Ayd n, C / 2005 / Some new sequence spaces which include the spaces lp and l1 / Demon-stratio Mathematica 38(3):641~656
Altay, B / 2006 / Some Paranormed Riesz Sequence Spaces of Non-absolute Type / Southeast Asian Bulletin of Mathematics 30(4):591~608
Altay, Bilal / 2007 / Generalization of the sequence space l(p) derived by weighted mean / Journal of Mathematical Analysis and Applications 330(1):174~185
Altay, B / 2007 / Certain topological properties and duals of the matrix domain of a triangle matrix in a sequence space / J. Math. Anal. Appl 336(1):632~645
Ayd n, C / 2005 / Some new sequence spaces which include the spaces lp and l1 / Demon-stratio Mathematica 38(3):641~656
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