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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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

Issue

Vol. 19 No. 1 (2005): THE MINDANAO FORUM

Section

Articles