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 o...

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...

In this paper we consider the problem of finding norms of certain matrix operators on sequence space bvp . In fact, we consider these problems for weighted mean, and generalized Cesaro matrices on sequence space bvp . Mathematics subject classification (2010): 26D15, 47A30, 40G05, 47D37, 46A45, 54D55.

In this paper, an application to the approximation by wavelets has been obtained by using matrix-Cesaro (Λ⋅C1) method of Jacobi polynomials. The rapid rate of convergence of matrix-Cesaro method of Jacobi polynomials are estimated. The result of Theorem (6.1) of this research paper is applicable for avoiding the Gibbs phenomenon in intermediate levels of wavelet approximations. There are major ...

We consider subsequence versions of weighted ergodic theorems, and show that for a wide class of subsequences along which a.e. convergence of Cesaro averages has been established, we also have a.e. convergence for the subsequence Cesaro weighted averages, when the weights are obtained from uniform sequences produced by a connected apparatus.

We consider a multiclass GI|G|1 queueing system, operating under an arbitrary work-conserving scheduling policy π. We derive an invariance relation for the Cesaro sums of waiting times under π, which does not require the existence of limits of the Cesaro sums. This allows us to include in the set of admissible policies important classes, such as time-dependent and adaptive policies. For these c...

Since the turn of the century there have been several notions of convergence for subsets of metric spaces appear in the literature. Appearing in as a subset of these notions is the concepts of epi-convergence. In this paper we peresent definitions of epi-Cesaro convergence for sequences of lower semicontinuous functions from $X$ to $[-infty,infty]$ and Kuratowski Cesaro convergence of sequence...

In this study, we introduce the notions of Cesaro, strongly Ces`aro and statistical derivatives for real valued functions. These are based on concepts Cesaro convergence a sequence. Then establish some relationships between derivative derivative.