Acta mathematica scientia,Series B ›› 2014, Vol. 34 ›› Issue (2): 473-482.doi: 10.1016/S0252-9602(14)60021-7

• Articles • Previous Articles     Next Articles

ON LACUNARY STATISTICAL CONVERGENCE OF ORDER α

 Hacer SENGÜL, Mikail ET   

  1. Department of Mathematics, Firat University, 23119, Elazig, TURKEY
  • Received:2013-02-07 Revised:2013-10-04 Online:2014-03-20 Published:2014-03-20

Abstract:

In this article, we introduce the concept of lacunary statistical convergence of order α of real number sequences and give some inclusion relations between the sets of lacu-nary statistical convergence of order α and strong Nαθ (p)-summability. Furthermore, some relations between the spaces Nαθ (p)- and Sαθ are examined.

Key words: Statistical convergence, lacunary sequence, Ces`aro summability

CLC Number: 

  • 40A05
Trendmd