# An Equivalent Definition of Pan-Integral

@inproceedings{Ouyang2016AnED,
title={An Equivalent Definition of Pan-Integral},
author={Yao Ouyang and Jun Li},
booktitle={MDAI},
year={2016}
}
In this note, we introduce the concepts of support disjointness super-$$\oplus$$-additivity and positively super-$$\otimes$$-homogeneity of a functional (with respect to pan-addition $$\oplus$$ and pan-multiplication $$\otimes$$, respectively). By means of these two properties of functionals, we discuss the characteristics of pan-integrals and present an equivalent definition of the pan-integral. As special cases, we obtain the equivalent definitions of the Shilkret integral, the \(+,\cdot… CONTINUE READING

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## On linearity of pan-integral and pan-integrable functions space

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