Companion inequalities to Ostrowski--Gr\"uss type inequality and applications
نویسندگان
چکیده
منابع مشابه
Companion inequalities to Ostrowski–Grüss type inequality and applications
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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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: TURKISH JOURNAL OF MATHEMATICS
سال: 2015
ISSN: 1300-0098,1303-6149
DOI: 10.3906/mat-1404-27