广义Ostrowski不等式与计算积分

Journal of Numerical Analysis and Approximation Theory Pub Date : 2020-12-31 DOI:10.33993/jnaat492-1224

Nazia Irshad, Asif R Khan, Hina Musharraf

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引用次数: 0

摘要

分别利用有界、仅下有界和仅上有界的可微函数，给出并证明了与Ostrowski不等式有关的三个广义结果。从我们提出的结果中，我们得到了一些已确定的结果作为我们的特殊情况。给出了在数值积分中的一些应用，给出了一些标准的和非标准的求积分规则。

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Generalized Ostrowski inequalities and computational integration

We state and prove three generalized results related to Ostrowski inequality by using differentiable functions which are bounded, bounded below only and bounded above only, respectively. From our proposed results we get number of established results as our special cases. Some applications in numerical integration are also given which gives us some standard and nonstandard quadrature rules.

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Journal of Numerical Analysis and Approximation Theory

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