Volume 21, Issue 2 (9-2026)
IJMSI 2026, 21(2): 145-153 |
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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-en.html
URL: http://ijmsi.ir/article-1-2312-en.html
Abstract:
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.
Type of Study: Research paper |
Subject:
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