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On Some New Orlicz Sequence Spaces Derived by Using Riesz Mean and Multiplier Sequence
by Serkan Demiriz

Vol. 11 No. 2 (2016) P.371~P.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 $h_{M}(R^{q},\Lambda)$.

KEYWORDS
Orlicz Function, Riesz mean, sequence spaces, KÄothe-Toeplitz dual.

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 40C05, 40A05, 46A45 .

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