Dergiler / Turkish Journal of Mathematics / 2000 / Cilt: 24 - Sayı: 2

A Generalized Trapezoid Inequality for Functions of Bounded Variation

Sayfa
147–163
DOI
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Özet

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.

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.

Anahtar kelimeler: Trapezoid inequality, bounded variation, numerical integration, beta function.