IJPAM: Volume 19, No. 1 (2005)
Department of Mathematics
Elazig, 23119, TURKEY
Abstract.In this study, we introduce a notion of uniform statistical convergence of sequences of real-valued functions. Furthermore we introduce the concept of a uniform statistical Cauchy sequence for functional sequences and prove that it is equivalent to uniform statistical convergence of sequence of real-valued functions.
Received: November 11, 2004
AMS Subject Classification: 40A05, 40C05, 46A45, 60B10, 60F05
Key Words and Phrases: functional sequences, pointwise convergence, uniform convergence, statistical convergence, pointwise statistical convergence
Source: International Journal of Pure and Applied Mathematics