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On an Inequality of Ostrowski Type in Three Independent Variables
Journal of Mathematical Analysis and Applications, 2000 The main purpose of this paper is to establish a new inequality of Ostrowski type for real functions of three variables. The discrete analogue of the main result is also given. The results and proofs are elementary, but appear too complicated to be stated here.
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On Some Ostrowski Type Integral Inequalities
Sarajevo Journal of MathematicsIn this paper we establish some new Ostrowski type integral inequalities, by using the Montgomery identity and Taylor's formula.
Aglić Aljinović, Andrea +2 more
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Some Weighted Ostrowski Type Inequalities
Vietnam Journal of Mathematics, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Inequalities of Ostrowski Type
2011Ostrowski’s type inequalities provide sharp error estimates in approximating the value of a function by its integral mean. They can be utilized to obtain a priory error bounds for different quadrature rules in approximating the Riemann integral by different Riemann sums.
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2012
In [81], A.M. Ostrowski proved the inequality (7), which is now known in the literature as Ostrowski’s inequality. Since its apperance in 1938, a good deal of research activity has been concentrated on the investigation of the inequalities of the type (7) and their applications.
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In [81], A.M. Ostrowski proved the inequality (7), which is now known in the literature as Ostrowski’s inequality. Since its apperance in 1938, a good deal of research activity has been concentrated on the investigation of the inequalities of the type (7) and their applications.
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On Multivariate Ostrowski Type Inequalities
2011In this paper several multivariate Ostrowski integral inequalities are established. These generalize some existing results of Pachpatte and provide new estimates to inequalities of this type.
Zhao, CJ, Cheung, WS
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An Ostrowski type inequality for interval-valued functions
2013 Joint IFSA World Congress and NAFIPS Annual Meeting (IFSA/NAFIPS), 2013The present paper is devoted to discussing about an Ostrowski type inequality for interval-valued functions using the concept of the generalized Hukuhara derivative (gH-derivative) for interval-valued functions. A consequence of this generalization is that we can derive estimates for the remainder term of quadrature rule of Riemann-type for the ...
Arturo Flores-Franulic +2 more
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On the Ostrowski type integral inequality
2010Motivated by Ostrowski's inequality and some related investigations, the author presents an inequality for functions \(f:[a,b]\times [c,d]\to \mathbb R\) fulfilling further regularity properties.
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PROBABILISTIC OSTROWSKI TYPE INEQUALITIES
Stochastic Analysis and Applications, 2002New very general univariate and multivariate probabilistic Ostrowski type inequalities are established, involving ‖·‖∞ and ‖·‖ p , p≥1 norms of probability density functions. Some of these inequalities provide pointwise estimates to the error of probability distribution function from the expectation of some simple function of the engaged random ...
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Multidimensional Ostrowski-type Inequalities
2012The Ostrowski inequality (7) has been generalized over the last years in a number of ways. The first multidimensional version of the Ostrowski’s inequality was given by G.V. Milovanovi´c in [76] (see also [80, p. 468]). Recently a number of authors have written about multidimensional generalizations, extensions and variants of the Ostrowski’s ...
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