A Generalized Trapezoid Inequality for Functions of Bounded Variation

Authors: P. CERONE, S. S. DRAGOMIR, C. E. M. PEARCE

Abstract: 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.

Keywords: Trapezoid inequality, bounded variation, numerical integration, beta function.

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