Weight martingale-ergodic and ergodic-martingale theorems

In this paper we prove weighted martingale-ergodic and weighted ergodic-martingale theorems. Furthermore, analogous dominant and maximal inequalities for weighted martingale ergodic sequences and weighted ergodic martingale averages are also obtained.

Bibliographic Details
Main Authors: Ganiev, Inomjon, Othman, Raihan
Format: Article
Language:English
Published: IDOSI Publications 2013
Subjects:
Online Access:http://irep.iium.edu.my/30007/
http://irep.iium.edu.my/30007/
http://irep.iium.edu.my/30007/1/Dr.Inomjon.pdf
Description
Summary:In this paper we prove weighted martingale-ergodic and weighted ergodic-martingale theorems. Furthermore, analogous dominant and maximal inequalities for weighted martingale ergodic sequences and weighted ergodic martingale averages are also obtained.