AbstractLet 1⩽p⩽∞, 0<q⩽p, and A=(an,k)n,k⩾0⩾0. Denote by Lp,q(A) the supremum of those L satisfying the following inequality:∑n=0∞∑k=0∞an,kxkq1/q⩾L∑k=0∞xkp1/p,whenever X={xn}n=0∞∈ℓp and X⩾0. The purpose of this paper is to find the exact value of Lp,q(A) when A is a Hausdorff matrix or its transpose. In particular, we apply it to Cesàro matrices, Hölder matrices, Gamma matrices, and generalized Euler matrices. Our results generalize the work of Bennett
This paper analyzes the Lipschitz behavior of the feasible set mapping associated with linear and co...
The problem of averaging of binary digits of numbers in [0,1] is considered. A class M of Toeplitz m...
The problem of averaging of binary digits of numbers in [0,1] is considered. A class M of Toeplitz m...
AbstractLet A=(an,k)n,k⩾0 be a non-negative matrix. Denote by Lp,q(A) the supremum of those L satisf...
AbstractLet A=(an,k)n,k⩾0 be a non-negative matrix. Denote by Lp,q(A) the supremum of those L satisf...
AbstractLet A=(an,k)n,k⩾0 be a non-negative matrix. Denote by Lp,q(A) the supremum of those L satisf...
Abstract Let H=(hnmjk) $\mathsf{H}=(h_{nmjk})$ be a non-negative four-dimensional matrix. Denote by ...
Abstract. In this paper, we considered the problem of finding the upper bound Hausdorff matrix opera...
AbstractIn a recent paper [3], Lyons has discovered an interesting lower bound for the Cesaro matrix...
We determine the lower bounds for classes of Rhaly matrices, considered as bounded linear operators ...
matrices. In this paper we verify that a number of known results for Hausdorff matrices can be exten...
AbstractUsing an approach of Bergh, we give an alternate proof of Bennett's result on lower bounds f...
AbstractOn a subshift of finite type (SFT) we introduce a pseudometric d given by a nonnegative matr...
Les matrices, dites de Hausdorff, sont définies d'une part par W. A. Hurwitz et L. L. Silverman, [1]...
summary:Let $A=(a_{n,k})_{n,k\geq 1}$ be a non-negative matrix. Denote by $L_{v,p,q,F}(A)$ the supr...
This paper analyzes the Lipschitz behavior of the feasible set mapping associated with linear and co...
The problem of averaging of binary digits of numbers in [0,1] is considered. A class M of Toeplitz m...
The problem of averaging of binary digits of numbers in [0,1] is considered. A class M of Toeplitz m...
AbstractLet A=(an,k)n,k⩾0 be a non-negative matrix. Denote by Lp,q(A) the supremum of those L satisf...
AbstractLet A=(an,k)n,k⩾0 be a non-negative matrix. Denote by Lp,q(A) the supremum of those L satisf...
AbstractLet A=(an,k)n,k⩾0 be a non-negative matrix. Denote by Lp,q(A) the supremum of those L satisf...
Abstract Let H=(hnmjk) $\mathsf{H}=(h_{nmjk})$ be a non-negative four-dimensional matrix. Denote by ...
Abstract. In this paper, we considered the problem of finding the upper bound Hausdorff matrix opera...
AbstractIn a recent paper [3], Lyons has discovered an interesting lower bound for the Cesaro matrix...
We determine the lower bounds for classes of Rhaly matrices, considered as bounded linear operators ...
matrices. In this paper we verify that a number of known results for Hausdorff matrices can be exten...
AbstractUsing an approach of Bergh, we give an alternate proof of Bennett's result on lower bounds f...
AbstractOn a subshift of finite type (SFT) we introduce a pseudometric d given by a nonnegative matr...
Les matrices, dites de Hausdorff, sont définies d'une part par W. A. Hurwitz et L. L. Silverman, [1]...
summary:Let $A=(a_{n,k})_{n,k\geq 1}$ be a non-negative matrix. Denote by $L_{v,p,q,F}(A)$ the supr...
This paper analyzes the Lipschitz behavior of the feasible set mapping associated with linear and co...
The problem of averaging of binary digits of numbers in [0,1] is considered. A class M of Toeplitz m...
The problem of averaging of binary digits of numbers in [0,1] is considered. A class M of Toeplitz m...
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