2017
Том 69
№ 6

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

Alomari M. W.

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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.

English version (Springer): Ukrainian Mathematical Journal 64 (2012), no. 4, pp 491-510.

Citation Example: Alomari M. W. A companion of Dragomir's generalization of Ostrowski's inequality and applications in numerical integration // Ukr. Mat. Zh. - 2012. - 64, № 4. - pp. 435-450.

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