Basic theorems of N-integral of set valued functions

Corina Karim; Cornelia Yosefine Halim; Mohamad Muslikh

doi:10.1063/5.0166515

Basic theorems of N-integral of set valued functions

Corina Karim^*
, Cornelia Yosefine Halim
, Mohamad Muslikh

^*Corresponding author for this work

Faculty of Mathematics and Natural Sciences

Research output: Contribution to journal › Conference article › peer-review

1 Citation (Scopus)

Abstract

N-integral is generalization from Riemann integral using partition on Henstock-Kurzweil that called δ-fine. This integral introduced by Cabral and Racca on 2020 [1]. Wibowo and Muslikh [2] studied a properties of the Henstock-Kurzweil integral more general class of set valued functions. This paper studied about the uniqueness and uniform theorem of N-integral of set valued functions.

Original language	English
Article number	060002
Journal	AIP Conference Proceedings
Volume	2903
Issue number	1
DOIs	https://doi.org/10.1063/5.0166515
Publication status	Published - 4 Oct 2023
Event	10th International Basic Science International Conference, BaSIC 2022 - Hybrid, Malang, Indonesia Duration: 13 Sept 2022 → 14 Sept 2022

Keywords

N-integral
set-valued functions

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10.1063/5.0166515

Cite this

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title = "Basic theorems of N-integral of set valued functions",

abstract = "N-integral is generalization from Riemann integral using partition on Henstock-Kurzweil that called δ-fine. This integral introduced by Cabral and Racca on 2020 [1]. Wibowo and Muslikh [2] studied a properties of the Henstock-Kurzweil integral more general class of set valued functions. This paper studied about the uniqueness and uniform theorem of N-integral of set valued functions.",

keywords = "N-integral, set-valued functions",

author = "Corina Karim and Halim, \{Cornelia Yosefine\} and Mohamad Muslikh",

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AU - Karim, Corina

AU - Halim, Cornelia Yosefine

AU - Muslikh, Mohamad

PY - 2023/10/4

Y1 - 2023/10/4

N2 - N-integral is generalization from Riemann integral using partition on Henstock-Kurzweil that called δ-fine. This integral introduced by Cabral and Racca on 2020 [1]. Wibowo and Muslikh [2] studied a properties of the Henstock-Kurzweil integral more general class of set valued functions. This paper studied about the uniqueness and uniform theorem of N-integral of set valued functions.

AB - N-integral is generalization from Riemann integral using partition on Henstock-Kurzweil that called δ-fine. This integral introduced by Cabral and Racca on 2020 [1]. Wibowo and Muslikh [2] studied a properties of the Henstock-Kurzweil integral more general class of set valued functions. This paper studied about the uniqueness and uniform theorem of N-integral of set valued functions.

KW - N-integral

KW - set-valued functions

UR - https://www.scopus.com/pages/publications/85177598965

U2 - 10.1063/5.0166515

DO - 10.1063/5.0166515

M3 - Conference article

AN - SCOPUS:85177598965

SN - 0094-243X

VL - 2903

JO - AIP Conference Proceedings

JF - AIP Conference Proceedings

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M1 - 060002

T2 - 10th International Basic Science International Conference, BaSIC 2022

Y2 - 13 September 2022 through 14 September 2022

ER -

Basic theorems of N-integral of set valued functions

Abstract

Keywords

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