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2016 / June Volume 11 No.2
On Some New Orlicz Sequence Spaces Derived by Using Riesz Mean and Multiplier Sequence
Published Date
2016 / June
Title
On Some New Orlicz Sequence Spaces Derived by Using Riesz Mean and Multiplier Sequence
Author
Serkan Demiriz
Keyword
Orlicz Function, Riesz mean, sequence spaces, KÄothe-Toeplitz dual.
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Pagination
371-392
Abstract
In this paper, we introduce the Orlicz sequence spaces generated by Riesz mean associated with a fixed multiplier sequence of non-zero scalars. Furthermore, we emphasize several algebraic and topological properties relevant to these spaces. Finally, we determine the K$\ddot{o}$the-Toeplitz dual of the spaces $\ell_{M}^{'}(R^{q},\Lambda)$ and $h_{M}(R^{q},\Lambda)$.
AMS Subject
Classification
40C05, 40A05, 46A45 .
Received
2015-11-10
Accepted
2015-11-16
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