2007•Journal of Shanghai University of Electric PowerRequires access
Relation of Uniform Continuity and Uniform Convergence and Equicontinuity on Sequence of Functions
Li Hong Xu
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Abstract
Continuity,uniform continuity,uniform convergence and equicontinuity are very important qualities of functions or sequence of functions.For sequence of functions,the relation of uniform continuity,uniform convergence and equicontinuity is studied.Their equivalence relation is presented with sequence of functions set in a bounded interval.