let = be a non-negative matrix. denote by the supremum of those , satisfying the following inequality: where , , and also is increasing, non-negative sequence of real numbers. if we used instead of the purpose of this paper is to establish a hardy type formula for , where is hausdorff matrix and a similar result is also established for where in particular, we apply our results to the cesaro...

This paper is concerned with the problem of finding bounds for the norm of lower triangular matrix operators from [Formula: see text] into [Formula: see text], where [Formula: see text] is the Cesàro weighted sequence space and [Formula: see text] is a non-negative sequence. Also this problem is considered for lower triangular matrix operators from [Formula: see text] into [Formula: see text], ...

In this paper we study the average distance in weighted graphs. More precisely, we consider assignments of families of non-negative weights to the edges. The aim is to maximise (minimise, respectively) the average distance in the resulting weighted graph. Two variants of the problem are considered depending on whether the collection of weights is fixed or not. The main results of this paper are...

in the present paper, we introduce some new sequence spaces derived by riesz mean and the notions of almost and strongly almost convergence in a real 2-normed space. some topological properties of these spaces are investigated. further, new concepts of statistical convergence which will be called weighted almost statistical convergence, almost statistical convergence and statistical convergence...

The paper contains the inversion formula for weighted spherical mean. interest to reconstruction a function by its integral sphere grews tremendously in last six decades, stimulated spectrum of new problems and methods image reconstruction. We consider generalization classical mean inverse case when generalized translation acts instead regular. As particular this problem includes action means o...