On weak${}^*$ convergence in $H^1$

On Weak Statistical Convergence

The main object of this paper is to introduce a new concept of weak statistically Cauchy sequence in a normed space. It is shown that in a reflexive space, weak statistically Cauchy sequences are the same as weakly statistically convergent sequences. Finally, weak statistical convergence has been discussed in l p spaces. under the Creative Commons Attribution License, which permits unrestricted...

Weak Convergence and Weak* Convergence1

In this article, we deal with weak convergence on sequences in real normed spaces, and weak* convergence on sequences in dual spaces of real normed spaces. In the first section, we proved some topological properties of dual spaces of real normed spaces. We used these theorems for proofs of Section 3. In Section 2, we defined weak convergence and weak* convergence, and proved some properties. By...

SOME GENERALIZATIONS OF WEAK CONVERGENCE RESULTS ON MULTIPLE CHANNEL QUEUES IN HEAVY TRAFFIC.

This paper extends certain results of Iglehart and Whitt on multiple channel queues to the case where the inter-arrival times and service times are not necessarily identically distributed. It is shown that the weak convergence results in this case are exactly the same as those obtained by Iglehart and Whitt

Weak convergence on Douglas-Rachford method

We prove that the sequences generate by the Douglas-Rachford method converge weakly to a solution of the inclusion problem 2000 Mathematics Subject Classification: 47H05, 49J52, 47N10.

Research Article On Weak Statistical Convergence