Abstract

Abstract In this paper, we propose an approximation technique to compute multiple integrals of a non-negative real continuous function over a hyper-rectangle Ω of ℝ n . The main idea is to use a reducing transformation procedure obtained by using α-dense curves. First, the region Ω f whose measure represents the value of the integral, is densified by a specific curve ℓ α(t) of finite length. Therefore, the multiple integral can be approached by a simple integral corresponding to ℓ α (t). Some numerical examples are given.

Full Text
Paper version not known

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.