Inequalities involving upper bounds for certain matrix operators
- 44 Downloads
In this paper, we considered the problem of finding the upper bound Hausdorff matrix operator from sequence spaces lp(v) (ord(v, p)) intol p (w) (ord(w, p)). Also we considered the upper bound problem for matrix operators fromd(v, 1) intod(w, 1), and matrix operators frome(w, ∞) intoe(v, ∞), and deduce upper bound for Cesaro, Copson and Hilbert matrix operators, which are recently considered in  and  and similar to that in .
KeywordsInequality norm summability matrix Hausdorff matrix Hilbert matrix weighted sequence space Lorentz sequence space
Unable to display preview. Download preview PDF.
- Bennett G, Factorizing the classical inequalities,Mem. Am. Math. Soc. 576 (1996) 1–130Google Scholar
- Hardy G H, Divergent Series, 2nd edition (American Mathematical Society) (2000)Google Scholar
- Hardy G H, Littlewood J E and Polya G, Inequalities, 2nd edition (Cambridge: Cambridge University Press) (2001)Google Scholar