Hausdorff measure of noncompactness of matrix operators on some new difference sequence spaces

Abstract The new sequence spaces X ( r , s , t ; Δ ) $X(r,s,t;\Delta)$ for X ∈ { l ∞ , c , c 0 } $X\in\{l_{\infty}, c, c_{0}\}$ have been defined by using generalized means and difference operator. In this work, we establish identities or estimates for the operator norms and the Hausdorff measure of...

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Bibliographic Details
Main Authors: Elahe Abyar, Mohammad Bagher Ghaemi
Format: Article
Language:English
Published: SpringerOpen 2016-10-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-016-1206-x