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.

In this paper we define the weighted Cesaro sequence spaces ces (p, q).We prove the space ces(p, q) is a complete paranorm space. In section-2 we determine its Kothe-Toeplitz dual and continuous dual. In section-3 we establish necessary and sufficient condition for a matrix A to map ces (p, q) to and ces(p, q) to , where is the space of all bounded sequences and is the space of all convergent s...

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.

This paper considers several aspects of the sequential prediction problem for unbounded, non-stationary processes under p-th power loss lp(u, v) = |u−v|, 1 < p < ∞. In the first part of the paper it is shown that Bayes prediction schemes are Cesaro optimal under general conditions, that Cesaro optimal prediction schemes are unique in a natural sense, and that Cesaro optimality is equivalent to ...

ABTRACT: In this paper we define the generalized Cesaro sequence spaces ces(p, q, s). We prove the space ces(p, q, s) is a complete paranorm space. In section-2 we determine its Kothe-Toeplitz dual. In section-3 we establish necessary and sufficient conditions for a matrix A to map ces p, q, s to l∞ and ces(p, q, s) to c, where l∞ is the space of all bounded sequences and c is the space of all ...

We propose a closed architecture for data sampling in wireless sensor networks. Examples show that the proposed scheme outperforms the tradiotional layered scheme, both in terms of stable operating region as well as the end-to-end delays. We then propose a distributed routing scheme for a broad class of wireless sensor networks which converges (in the Cesaro sense) to the set of Cesaro-Wardrop ...