The statistical convergence of functions series

ABSTRACT M.S. Thesis THE STATISTICAL CONVERGENCE OF FUNCTIONS SERIES Barış ÖREN Fırat University Graduate School of Natural and Applied Sciences Department of Mathematics 2005, Page : 22 This thesis consists of four chapters. In the introduction; the history of statistical convergence is presented. In the second chapter; the fundemental definitions and theorems are given. In the third chapter; the definitions of asymtotic density, natural density statistical convergence and pointwise statistical convergence are given. Finally, we have examined the statistical convergence of series, statistical convergent functions sequence and uniformly statistical convergent of functions series. Keywords: Statistical convergent, bounded series, conditional convergence, Cauchy criteria, functional sequence, pointwise convergence. in