SOME PROPERTIES OF N-INTEGRAL ON SET VALUED FUNCTIONS
Abstract
The Upper and Lower N-Integrals were introduced in 2019, based on the concept of δ-fine partitions, which are also utilized in the Henstock-Kurzweil integral. The integration of set-valued functions was first introduced by an economist, followed by an alternative approach developed using measure-theoretic methods. Both approaches rely on the concept of measure. Later studies examined the Henstock-Kurzweil integral for set-valued functions and compared it with the earlier measure-based approaches. This paper explores the properties of N-Integral for set-valued functions within a similar framework. It demonstrates that the N-Integral satisfies key properties such as boundedness, linearity, and its relationship with the Henstock-Kurzweil integral.
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Copyright (c) 2026 Corina Karim, Cornelia Yosefine Halim
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