AbstractUsing an approach of Bergh, we give an alternate proof of Bennett's result on lower bounds for non-negative matrices acting on non-increasing non-negative sequences in lp when p⩾1 and its dual version, the upper bounds when 0<p⩽1. We also determine such bounds explicitly for some families of matrices
In this paper we settle an open problem raised by B. Yang (2005, Taiwanese Journal of Mathematics 9,...
Mathematics Subject Classification: 26D10, 46E30, 47B38We prove the Hardy inequality and a similar i...
AbstractWe prove: Let n > 0 be an integer. Then we have for all real numbers r > 0: where both boun...
AbstractLet A=(an,k)n,k⩾0 be a non-negative matrix. Denote by Lp,q(A) the supremum of those L satisf...
We use different approaches to study a generalization of a result of Levin and Stečkin concerning a...
AbstractIn a recent paper [3], Lyons has discovered an interesting lower bound for the Cesaro matrix...
We give a condition on weighted mean matrices so that their lp norms are determined on decreasing s...
AbstractWe prove some Hardy-type inequalities via an approach that involves constructing auxiliary s...
We prove some Hardy-type inequalities via an approach that involves constructing auxiliary sequence...
AbstractWe present an effective algorithm for estimating the norm of an operator mapping a low-dimen...
AbstractWe give a simple proof of Cartlidge's result on the lp operator norms of weighted mean matri...
In this paper we study the existence of maximizers for two families of interpolation inequalities, n...
AbstractErdös and Reddy (Adv. Math. 21 (1976) 78) estimated the lower bound in question to be 2.75−1...
AbstractIn this work, we improve the lower and upper bounds obtained by Zhang and Luo [X. Zhang, R. ...
In this paper we settle an open problem raised by B. Yang (2005, Taiwanese Journal of Mathematics 9,...
In this paper we settle an open problem raised by B. Yang (2005, Taiwanese Journal of Mathematics 9,...
Mathematics Subject Classification: 26D10, 46E30, 47B38We prove the Hardy inequality and a similar i...
AbstractWe prove: Let n > 0 be an integer. Then we have for all real numbers r > 0: where both boun...
AbstractLet A=(an,k)n,k⩾0 be a non-negative matrix. Denote by Lp,q(A) the supremum of those L satisf...
We use different approaches to study a generalization of a result of Levin and Stečkin concerning a...
AbstractIn a recent paper [3], Lyons has discovered an interesting lower bound for the Cesaro matrix...
We give a condition on weighted mean matrices so that their lp norms are determined on decreasing s...
AbstractWe prove some Hardy-type inequalities via an approach that involves constructing auxiliary s...
We prove some Hardy-type inequalities via an approach that involves constructing auxiliary sequence...
AbstractWe present an effective algorithm for estimating the norm of an operator mapping a low-dimen...
AbstractWe give a simple proof of Cartlidge's result on the lp operator norms of weighted mean matri...
In this paper we study the existence of maximizers for two families of interpolation inequalities, n...
AbstractErdös and Reddy (Adv. Math. 21 (1976) 78) estimated the lower bound in question to be 2.75−1...
AbstractIn this work, we improve the lower and upper bounds obtained by Zhang and Luo [X. Zhang, R. ...
In this paper we settle an open problem raised by B. Yang (2005, Taiwanese Journal of Mathematics 9,...
In this paper we settle an open problem raised by B. Yang (2005, Taiwanese Journal of Mathematics 9,...
Mathematics Subject Classification: 26D10, 46E30, 47B38We prove the Hardy inequality and a similar i...
AbstractWe prove: Let n > 0 be an integer. Then we have for all real numbers r > 0: where both boun...