摘要:In this paper we use the idea of logarithmic density to define the concept of logarithmic statistical convergence. We find the relations of logarithmic statistical convergence with statistical convergence, statistical summability ( H , 1 ) introduced by Móricz (Analysis 24:127-145, 2004) and [ H , 1 ] q -summability. We also give subsequence characterization of statistical summability ( H , 1 ) . MSC:40A05, 40A30.
关键词:asymptotic density ; logarithmic density ; statistical convergence ; statistical summability ( H , 1 ) ; logarithmic statistical convergence