ON $q$-HAUSDORFF MATRICES

Lower Bounds of Copson Type for Hausdorff Matrices on Weighted Sequence Spaces

Let = be a non-negative matrix. Denote by the supremum of those , satisfying the following inequality: where , , and also is increasing, non-negative sequence of real numbers. If we used instead of The purpose of this paper is to establish a Hardy type formula for , where is Hausdorff matrix and A similar result is also established for where In particular, we apply o...

Generalized Hausdorff Matrices as Bounded Operators on ! p*

Hausdorff Matrices as Bounded Operators over /

A necessary and sufficient condition is obtained for an arbitrary Hausdorff matrix to belong to B(l). It is then shown that every conservative quasi-Hausdorff matrix is of type M. Let (H, u) denote the Hausdorff method with generating sequence ¡x = {/L,}, / = {{xn} \2„\xn\ < oo}, B(l) the algebra of bounded linear operators on /. A necessary and sufficient condition is obtained for an arbitrary...

Concerning Hausdorff Matrices and Absolutely Convergent Sequences1

for£}=0, 1,2,.... This paper is concerned with the determination of those generalized Hausdorff matrices which sum all absolutely convergent sequences. Theorem 2 gives a sufficiency condition stated in terms of the behavior of the points of continuity of the graph of g and Theorems 3 and 4 provide examples which serve to further describe functions which generate such matrices. Theorem 5 gives a...

Extending Parikh q-matrices

1. A. Atanasiu. Binary amiable words. International Journal of Foundations of Computer Science, 18(2):387–400, 2007. 2. A. Atanasiu, R. Atanasiu, and I. Petre. Parikh matrices and amiable words. Theoretical Computer Science, 390:102–109, 2008. 3. A. Atanasiu, C. Martin-Vide, and A. Mateescu. On the injectivity of the parikh matrix mapping. Fundamenta Informatica, 46:1–11, 2001. 4. S. Bera and K...