دوره 21، شماره 2 - ( 6-1405 )
جلد 21 شماره 2 صفحات 153-145 |
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Choudhury C, Debnath S, Esi A. On Rough ϕ − Convergence. IJMSI 2026; 21 (2) :145-153
URL: http://ijmsi.ir/article-1-2312-fa.html
URL: http://ijmsi.ir/article-1-2312-fa.html
On Rough ϕ − Convergence. مجله علوم ریاضی و انفورماتیک. 1405; 21 (2) :145-153
چکیده:
In this paper we introduce rough ϕ-convergence of real numbers as a generalization of rough convergence as well as ϕ-convergence. We study some of its basic properties and relations of the above convergence concept with already known different types of convergence.
In 2001, H.X.Phu proved that “The diameter of a r-limit set is not greater than 2r”. We investigate the above result for rough ϕ-convergence by introducing r - ϕ limit set and surprisingly the result comes out to be not true. So our main aim is to find out the different behaviour of the new convergence concept based on r - ϕ limit set.
In 2001, H.X.Phu proved that “The diameter of a r-limit set is not greater than 2r”. We investigate the above result for rough ϕ-convergence by introducing r - ϕ limit set and surprisingly the result comes out to be not true. So our main aim is to find out the different behaviour of the new convergence concept based on r - ϕ limit set.
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