On lacunary statistical boundedness

• المؤلفون الرئيسيون: Bhardwaj, Vinod K., Gupta, Sandeep, Syed Ahmed Mohiuddin, Kilicman, Adem
• التنسيق: مقال
• منشور في: Springer Open 2014
• الوصول للمادة أونلاين: http://psasir.upm.edu.my/id/eprint/34729/; http://www.journalofinequalitiesandapplications.com/content/2014/1/311/abstract

A new concept of lacunary statistical boundedness is introduced. It is shown that, for a given lacunary sequence θ={kr}, a sequence {xk} is lacunary statistical bounded if and only if for ‘almost all k w.r.t. θ’, the values xk coincide with those of a bounded sequence. Apart from studying various al...