Multivariate fractional representation formula and Ostrowski type inequality
نویسندگان
چکیده
منابع مشابه
Multivariate Fractional Representation Formula and Ostrowski type inequality
Here we derive a multivariate fractional representation formula involving ordinary partial derivatives of rst order. Then we prove a related multivariate fractional Ostrowski type inequality with respect to uniform norm. 2010 AMS Mathematics Subject Classi cation : 26A33, 26D10, 26D15.
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Here we derive multivariate weighted fractional representation formulae involving ordinary partial derivatives of rst order. Then we present related multivariate weighted fractional Ostrowski type inequalities with respect to uniform norm. 2010 AMS Mathematics Subject Classi cation : 26A33, 26D10, 26D15.
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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.
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In the article, we establish several Ostrowski type inequalities involving the conformable fractional integrals. As applications, we find new inequalities for the arithmetic and generalized logarithmic means.
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 ...
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ژورنال
عنوان ژورنال: Sarajevo Journal of Mathematics
سال: 2014
ISSN: 1840-0655,2233-1964
DOI: 10.5644/sjm.10.1.04