@Article{ATA-27-21, author = {}, title = {On Some Generalized Difference Paranormed Sequence Spaces Associated with Multiplier Sequence Defined by Modulus Function}, journal = {Analysis in Theory and Applications}, year = {2011}, volume = {27}, number = {1}, pages = {21--27}, abstract = {

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.

}, issn = {1573-8175}, doi = {https://doi.org/10.1007/s10496-011-0021-y}, url = {http://global-sci.org/intro/article_detail/ata/4575.html} }