Open Access
December 2009 Convergence rates of approximate sums of the areas of surfaces of revolution
Yuriko Gorai, Hiroyuki Tasaki, Mio Yamakawa
Tsukuba J. Math. 33(2): 281-297 (December 2009). DOI: 10.21099/tkbjm/1267209421

Abstract

We represent the convergence rates of approximate sums of the areas of surfaces of revolution as limits of their expanded error terms and estimate them. In the case of convex surfaces of revolution we represent the convergence rates of them by the integral of certain functions.

Citation

Download Citation

Yuriko Gorai. Hiroyuki Tasaki. Mio Yamakawa. "Convergence rates of approximate sums of the areas of surfaces of revolution." Tsukuba J. Math. 33 (2) 281 - 297, December 2009. https://doi.org/10.21099/tkbjm/1267209421

Information

Published: December 2009
First available in Project Euclid: 26 February 2010

zbMATH: 1202.53008
MathSciNet: MR2605856
Digital Object Identifier: 10.21099/tkbjm/1267209421

Subjects:
Primary: 53A05
Secondary: 41A21

Keywords: approximate sum , area , convergence rate , surface of revolution

Rights: Copyright © 2009 University of Tsukuba, Institute of Mathematics

Vol.33 • No. 2 • December 2009
Back to Top