AN OSTROWSKI TYPE INEQUALITY FOR TWICE DIFFERENTIABLE MAPPINGS AND APPLICATIONS
نویسندگان
چکیده
منابع مشابه
A Perturbed Version of the Ostrowski Inequality for Twice Differentiable Mappings
A generalisation of a perturbed version of the Ostrowski inequality for twice differentiable mappings is studied. It is shown that the error bounds are better than those obtained previously. Applications for general quadrature formulae are also given.
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Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract In this article, we establish some companions of an Ostrowski-like type inequality for functions whose second derivatives in absolute value are convex and concave.
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Some New Perturbed Generalizations of OstrowskiGrüss Type Inequalities for Bounded Differentiable Mappings and Applications Shunfeng Wang1, Qiaoling Xue 2 and Wenjun Liu2,∗ 1 Binjiang College, Nanjing University of Information Science and Technology, Nanjing 210044, China 2 College of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044, China Rec...
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Our aim in this article is to incorporate the notion of "strongly s-convex function" and prove a new integral identity. Some new inequalities of Simpson type for strongly s-convex function utilizing integral identity and Holder's inequality are considered.
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Using (1.1), the authors obtained estimations of error for the mid-point, trapezoid, and Simpson quadrature formulae. They also gave applications of the mentioned results in numerical integration and for special means. In this paper, we establish two perturbations of (1.1). Using the perturbations, we derive some new error bounds for the mid-point, trapezoid, and Simpson quadrature formulae. Si...
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ژورنال
عنوان ژورنال: Mathematical Modelling and Analysis
سال: 2016
ISSN: 1392-6292,1648-3510
DOI: 10.3846/13926292.2016.1185473