A Unified Convergence Theorem

Authors
Wu, Jun De Luo, Jian Wen Lu, Shi Jie
Citation
Wu, Jun De et al., A Unified Convergence Theorem, Acta mathematica Sinica. English series (Print) , 21(2), 2004, pp. 315-322
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
21
Issue
2
Year of publication
2004
Pages
315 - 322
Database
ACNP
SICI code
Abstract
We prove a unified convergence theorem, which presents, in four equivalent forms, the famous AntosikMikusinski theorems. In particular, we show that Swartz three uniform convergence principles are all equivalent to the Antosik-Mikusinski theorems.