The Fundamental Theorem and the Cauchy Extension for Integral in Local Systems

Julius Benitez; Sergio Jr. Canoy

The Fundamental Theorem and the Cauchy Extension for Integral in Local Systems

Authors

Julius Benitez
Sergio Jr. Canoy

Keywords:

local system, choice, S-cover, S-integral, Henstock's lemma

Abstract

A version of the Fundamental Theorem of Calculus for Wang and Ding's integral is formulated in this paper. At the same time, it also states and proves the Cauchy Extension Theorem for the said integral as defined using Thomson's local system.

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The Fundamental Theorem and the Cauchy Extension for Integral in Local Systems

Published

04/19/2024

How to Cite

Benitez, J., & Canoy, S. J. (2024). The Fundamental Theorem and the Cauchy Extension for Integral in Local Systems. ASIA PACIFIC JOURNAL OF SOCIAL INNOVATION, 19(1). Retrieved from https://journals.msuiit.edu.ph/tmf/article/view/380