TY - JOUR
ID - 46
TI - Some inequalities involving lower bounds of operators on weighted sequence spaces by a matrix norm
JO - International Journal of Nonlinear Analysis and Applications
JA - IJNAA
LA - en
SN -
AU - Moazzen, A. R.
AU - Lashkaripour, R.
AD - Dept. of Math.,University of Sistan and Baluchestan , Zahedan, Iran.
Y1 - 2012
PY - 2012
VL - 3
IS - 1
SP - 45
EP - 54
KW - Lower bound
KW - Weighted block sequence space
KW - Hausdor matrices
KW - Euler matrices
KW - Cesaro matrices
KW - Matrix norm
DO - 10.22075/ijnaa.2012.46
N2 - 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).
UR - https://ijnaa.semnan.ac.ir/article_46.html
L1 - https://ijnaa.semnan.ac.ir/article_46_a875762021951bf010efadf9db780be0.pdf
ER -