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

  • 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
How to Cite
AlomariM. 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, http://umj.imath.kiev.ua/index.php/umj/article/view/2588.
Section
Research articles