Title: A companion of the generalised trapezoid inequality for functions of two variables with bounded variation and applications
Authors: Hüseyin Budak; Mehmet Zeki Sarikaya
Addresses: Department of Mathematics, Faculty of Science and Arts, Düzce University, Düzce, Turkey ' Department of Mathematics, Faculty of Science and Arts, Düzce University, Düzce, Turkey
Abstract: In this paper, a companion of trapezoid inequality for functions of two independent variables with bounded variation is established and some applications for general cubature formula are given.
Keywords: function of bounded variation; Ostrowski type inequalities; Riemann-Stieltjes integrals; cubature formula.
DOI: 10.1504/IJANS.2016.085807
International Journal of Applied Nonlinear Science, 2016 Vol.2 No.4, pp.311 - 327
Received: 19 Sep 2016
Accepted: 11 Jan 2017
Published online: 14 Aug 2017 *