An Inequality of Ostrowski Type and Its Applications for Simpson's Rule and Special Means
نویسندگان
چکیده
منابع مشابه
Perturbations of an Ostrowski Type Inequality and Applications
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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We establish some companions of an Ostrowski type integral inequality for functions whose derivatives are absolutely continuous. Applications for composite quadrature rules are also given.
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where f : [a, b] → R is a differentiable function such that |f ′ (x) | ≤ M for all x ∈ [a, b] . More about Ostrowski type inequalities and companion inequalities to the Ostrowski type inequality can be found in papers [4, 5] and in monographs [1, 6]. If f is a differentiable function, f ′ is integrable, and γ ≤ f ′ (s) ≤ Γ, for all s ∈ [a, b] , then the following Ostrowski–Grüss inequality can ...
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Integration with weight functions is used in countless mathematical problems such as: approximation theory and spectral analysis, statistical analysis and the theory of distributions. The aim of this paper is to establish a new inequality using weight function which generalizes the inequalities of Barnett et al. in 2001 and Rafiq et al. in 2006. We also discuss some other interesting inequaliti...
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ژورنال
عنوان ژورنال: Mathematical Inequalities & Applications
سال: 1999
ISSN: 1331-4343
DOI: 10.7153/mia-02-39