منابع مشابه
On the Weighted Ostrowski Inequality
On utilising an identity from [5], some weighted Ostrowski type inequalities are established.
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The main purpose of this paper is to use a Grüss type inequality for RiemannStieltjes integrals to obtain a sharp integral inequality of Ostrowski-Grüss type for functions whose first derivative are functions of Lipschitizian type and precisely characterize the functions for which equality holds.
متن کاملA new Ostrowski-Grüss inequality involving 3n knots
This is the fifth and last in our series of notes concerning some classical inequalities such as the Ostrowski, Simpson, Iyengar, and Ostrowski–Grüss inequalities in R. In the last note, we propose an improvement of the Ostrowski–Grüss inequality which involves 3n knots where n = 1 is an arbitrary numbers. More precisely, suppose that fxkgk1⁄41 1⁄20;1 ; fykg n k1⁄41 1⁄20;1 , and fakg n k1⁄41 1⁄...
متن کاملCompanion 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 ...
متن کاملAn inequality for monotonic functions generalizing Ostrowski and related results
In this paper we establish a generalisation of the Ostrowski inequality for monotonic functions that also includes various recent results and apply it for quadrature formulae in Numerical Integration.
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ژورنال
عنوان ژورنال: Mathematical Inequalities & Applications
سال: 2001
ISSN: 1331-4343
DOI: 10.7153/mia-04-20