Open AccessOn asymptotically ideal equivalent sequences
Author(s) -
Bipan Hazarika
Publication year - 2015
Publication title -
journal of the egyptian mathematical society
Language(s) - English
Resource type - Journals
eISSN - 2090-9128
pISSN - 1110-256X
DOI - 10.1016/j.joems.2014.01.011
Subject(s) - mathematics , ideal (ethics) , stability theory , sequence (biology) , asymptotically optimal algorithm , convergence (economics) , pure mathematics , discrete mathematics , mathematical optimization , nonlinear system , philosophy , physics , epistemology , quantum mechanics , biology , economics , genetics , economic growth
In this article we introduce the notion of asymptotically I-equivalent sequences. We prove the decomposition theorem for asymptotically I-equivalent sequences. Further, we will present four theorems that characterize asymptotically I-equivalent of multiple λ and the regularity of asymptotically I-convergence by using a sequence of infinite matrices