volume 4 issue 2 article 5

The Relation between the Spaces L1(F ) and L1(T) with Some Applications

Author: Rashad Rashid Haji1&2
1Mathematics Department, College of Education, Salahaddin University, Erbil, Iraq
2Mathematics Education Department, Faculty of Education, Ishik University, Erbil, Iraq

Abstract:  In this research we find the relation between the nonstandard space of Lebesgue integrable functions L1(F),where F={|-N⁄2|+1,|-N⁄2|+2,…,0,…,|N⁄2| is a *finite set for  N > ℕ and the space of Lebesgue integrable functions L1(T), where T=[-π,π] , with some applications by using methods and techniques of nonstandard analysis.

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doi: 10.23918/eajse.v4i2p54

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