On some generalizations of statistical boundedness

Journal of inequalities and applications

Vinod K Bhardwaj¹ 

关键词: sequence space;    statistical boundedness;    statistical convergence;    Köthe-Toeplitz duals;   

DOI  :  10.1186/1029-242X-2014-12

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

Fridy and Orhan (Proc. Am. Math. Soc. 125(12):3625-3631, 1997) introduced the concepts of statistical boundedness, statistical limit superior, statistical limit inferior, and they established an analog of Knopp’s Core Theorem. In the present paper, we examine the concept of statistical boundedness to establish statistical analogs of various well-known results concerning boundedness and generalize the concept of statistical boundedness by introducing the concepts of statistical boundedness of order α, λ-statistical boundedness, and λ-statistical boundedness of order α. MSC:40C05, 40A05, 46A45.

【 授权许可】

CC BY