On Ostrowski-Type Inequalities for Higher-Order Partial Derivatives
نویسندگان
چکیده
منابع مشابه
Ostrowski and Jensen Type Inequalities for Higher Derivatives with Applications
We consider inequalities which incorporate both Jensen and Ostrowski type inequalities for functions with absolutely continuous n-th derivative. We provide applications of these inequalities for divergence measures. In particular, we obtain inequalities involving higher order χ-divergence.
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In this paper, making use of a new identity, we establish new inequalities of Ostrowski type for the class of preinvex functions and gave some midpoint type inequalities.
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We generalize Ostrowski inequality for higher order derivatives, by using a generalized Euler type identity. Some of the inequalities produced are sharp, namely attained by basic functions. The rest of the estimates are tight. We give applications to trapezoidal and mid-point rules. Estimates are given with respect to L∞ norm. c © 2006 Elsevier Ltd. All rights reserved.
متن کاملostrowski type inequalities for functions whose derivatives are preinvex
in this paper, making use of a new identity, we establish new inequalities of ostrowski type for the class of preinvex functions and gave some midpoint type inequalities.
متن کاملOn some Ostrowski type inequalities
In this paper we study Ostrowski type inequalities. We generalize some of the results presented in [1]. 2000 Mathematical Subject Classification: 26D15
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ژورنال
عنوان ژورنال: Journal of Inequalities and Applications
سال: 2010
ISSN: 1025-5834,1029-242X
DOI: 10.1155/2010/960672