A companion of Dragomir's generalization of Ostrowski's inequality and applications in numerical integration

Authors

  • M. W. Alomari Jerash Univ., Jordan

Abstract

\lambda) f(x) - \int^b_a f(t)dt\right]\right| \leq\leq\left[\frac{(b-a)^2}{4}(\lambda^2 + (1 - \lambda)^2) + \left(x - \frac{a + b}{2}\right)^2\right] ||f'||_{\infty}$$ are established. Some sharp inequalities are proved. An application to a composite quadrature rule is provided.

Published

25.04.2012

Issue

Section

Research articles

How to Cite

Alomari, M. W. “A Companion of Dragomir’s Generalization of Ostrowski’s Inequality and Applications in Numerical Integration”. Ukrains’kyi Matematychnyi Zhurnal, vol. 64, no. 4, Apr. 2012, pp. 435-50, https://umj.imath.kiev.ua/index.php/umj/article/view/2588.