We establish a generalization of a recent trapezoid inequality for functions of bounded variation. A number of special cases are considered. Applications are made to quadrature formulae, probability theory, special means and the estimation of the beta function.
Trapezoid inequality, bounded variation, numerical integration, beta function.
CERONE, P.; DRAGOMIR, S. S.; and PEARCE, C. E. M. (2000) "A Generalized Trapezoid Inequality for Functions of Bounded Variation," Turkish Journal of Mathematics: Vol. 24: No. 2, Article 3. Available at: https://journals.tubitak.gov.tr/math/vol24/iss2/3