TY - JOUR T1 - On Some Generalized Difference Paranormed Sequence Spaces Associated with Multiplier Sequence Defined by Modulus Function JO - Analysis in Theory and Applications VL - 1 SP - 21 EP - 27 PY - 2011 DA - 2011/01 SN - 27 DO - http://doi.org/10.1007/s10496-011-0021-y UR - https://global-sci.org/intro/article_detail/ata/4575.html KW - paranorm, solid space, symmetric space, difference sequence, modulus function, multiplier sequence. AB -

In this article we introduce the paranormed sequence spaces $( f ,\Lambda, \Delta_m, p)$, $c_0( f ,\Lambda, \Delta_m, p)$ and $l_\infty( f ,\Lambda, \Delta_m, p)$, associated with the multiplier sequence $\Lambda = (\lambda_k)$, defined by a modulus function $ f$. We study their different properties like solidness, symmetricity, completeness etc. and prove some inclusion results.