On the PU-Pettis Integral

Greig Bates Flores; Ann Leslie Flores

doi:10.52751/cmujs.2025.v29.i2.yxvtrv49

Authors

Dr. Greig Bates C. Flores Central Mindanao University Author
Dr. Ann Leslie V. Flores Central Mindanao University Author

DOI:

https://doi.org/10.52751/cmujs.2025.v29.i2.yxvtrv49

Keywords:

Pettis Integration, Partition of Unity, Banach Space, Linear Functionals

Abstract

A Riemannian approach of the PU integral is a Henstock type that is anchored with the concept of partition of unity. An integral of Pettis type, on the other hand, is essential, somehow, in formulating an integral in a Banach space. In this paper, the PU-Pettis integral will be formulated including some of its basic properties

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Author Biographies

Dr. Greig Bates C. Flores, Central Mindanao University

Associate Professor, Department of Mathematics
Dr. Ann Leslie V. Flores, Central Mindanao University

Associate Professor, Department of Mathematics

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