@article {
author = {Moazzen, A. R. and Lashkaripour, R.},
title = {Some inequalities involving lower bounds of operators on weighted sequence spaces by a matrix norm},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {3},
number = {1},
pages = {45-54},
year = {2012},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2012.46},
abstract = {Let A = (an;k)n;k1 and B = (bn;k)n;k1 be two non-negative ma-trices. Denote by Lv;p;q;B(A), the supremum of those L, satisfying the followinginequality:k Ax kv;B(q) L k x kv;B(p);where x 0 and x 2 lp(v;B) and also v = (vn)1n=1 is an increasing, non-negativesequence of real numbers. In this paper, we obtain a Hardy-type formula forLv;p;q;B(H), where H is the Hausdor matrix and 0 < q p 1. Also for thecase p = 1, we obtain kAkw;B(1), and for the case p 1, we obtain Lw;B(p)(A).},
keywords = {Lower bound,Weighted block sequence space,Hausdor matrices,Euler matrices,Cesaro matrices,Matrix norm},
url = {https://ijnaa.semnan.ac.ir/article_46.html},
eprint = {https://ijnaa.semnan.ac.ir/article_46_a875762021951bf010efadf9db780be0.pdf}
}