논문KCI 등재
Multidimensional Integration via trapezoidal and three point generators
4
조회
0
다운로드
0
인용
0
참고문헌
주제분류수학
초록
Abstract
Multidimensional integrals are expressed in terms of lowerdimensional integrals and function evaluations. An iterative processis used where a trapezoidal and three point identities are usedas textit{generators} for higher dimensional identities. Bounds areobtained utilising the resulting identities. It is demonstratedthat earlier Ostrowski type results are obtained as particularinstances of the current work.
관련 논문AI추천
Numerical integration over n-dimensional cubes using generalized Gaussian quadratureK.V. Nagaraja, S. Jayan장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2014 · 제17권 제1호The trapezoidal rule with a nonlinear coordinate transformation for weakly singular integrals윤병인대한수학회 · 대한수학회지2004 · 제41권 제6호The trapezoidal rule with a nonlinear coordinate transformation for weakly singular integralsBeong In Yun대한수학회 · 대한수학회지2004 · 제41권 제6호Approximating the Stieltjes integral of bounded functions and applications for three point quadrature rulesSever Silvestru Dragomir대한수학회 · 대한수학회보2007 · 제44권 제3호High-degree interpolation rules generated by a linear functional김경중대한수학회 · 대한수학회논문집2007 · 제22권 제3호Polynomial-fitting interpolation rules generated by a linear functional김경중대한수학회 · 대한수학회논문집2006 · 제21권 제2호
이 간행물의 다른 논문 (10건)
The Hilbert-Kunz Multiplicity of Two-Dimensional Toric RingsSeokyoung Hong, Sangki Choipp. 166-177Splittings for the braid-permutation groupChan-Seok Jeong, Yongjin Songpp. 179-193Generalized Set-valued Strongly Nonlinear Variational Inequalities in Banach SpacesY. P. Fang, N. J. Huang, K. H. Kim, Y. J. Chopp. 195-205A Weighted Ostrowski Type Inequality for Functions with Values in Hilbert Spaces and ApplicationsS. S. Dragomirpp. 207-224Ordered groups in which all convex jumps are centralV. V. Bludov, A. M. W. Glass, Akbar H. Rhemtullapp. 225-239