Results 81 to 90 of about 3,556 (167)
An Ostrowski Type Inequality for Mappings Whose Second Derivatives are Bounded and Applications [PDF]
, 1998 An integral inequality of Ostrowski's type for mappings whose second derivatives are bounded is proved.
Barnett, Neil S, Dragomir, Sever S
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Multivariate fractional Ostrowski type inequalities
Computers & Mathematics with Applications, 2007 AbstractOptimal upper bounds are given for the deviation of a value of a multivariate function of a fractional space from its average, over convex and compact subsets of RN,N≥2. In particular we work over rectangles, balls and spherical shells. These bounds involve the supremum and L∞ norms of related multivariate fractional derivatives of the function
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Ostrowski Type Inequalities for Higher-Order Derivatives
Journal of Inequalities and Applications, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mingjin Wang, Xilai Zhao
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Journal of Function Spaces, Volume 2024, Issue 1, 2024.The extension of interval‐valued and real‐valued functions known as fuzzy interval‐valued function (FIVF) has made substantial contributions to the theory of interval analysis. In this article, we explore the importance of h‐Godunova‐Levin fuzzy convex and preinvex functions and also develop the new generation of the Hermite‐Hadamard and trapezoid‐type
Yaqun Niu +8 more
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Representation of multivariate functions via the potential theory [PDF]
, 2003 In this paper, by the use of Potential Theory, some representation results for multivariate functions from the Sobolev spaces in terms of the double layer potential and the fundamental solution of Laplace's equation are pointed out.
Cirstea, Florica-Corina +1 more
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Weighted Version of Multivariate Ostrowski Type Inequalities
Rocky Mountain Journal of Mathematics, 2001 We establish two weighted integral identities and use them to prove a number of inequalities of Ostrowski type for functions of several variables. The results in the paper extend some known results of Pečarić and Savić as well as some recent results of Anastassiou.
Matić, M., Pečarić, J., Ujević, N.
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An Inequality of Ostrowski Type via Pompeiu's Mean Value Theorem
, 2003 An inequality providing some bounds for the integral mean via Pompeiu's mean value theorem and applications for quadrature rules and special means are ...
Dragomir, Sever Silvestru
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Perturbations of an Ostrowski type inequality and applications
International Journal of Mathematics and Mathematical Sciences, 2002 Two perturbations of an Ostrowski type inequality are established. New error bounds for the mid-point, trapezoid, and Simpson quadrature rules are derived. These error bounds can be much better than some recently obtained bounds.
Nenad Ujević
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Inequalities of Ostrowski Type in Two Dimensions [PDF]
Rocky Mountain Journal of Mathematics, 2005 A weighted version of Ostrowski type inequality in two dimensions is established. An ordinary generalization of Ostrowski's inequality in two dimensions and a corresponding Ostrowski-Grüss inequality are also derived.
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Some Ostrowski Type Inequalites via Cauchy's Mean Value Theorem
, 2003 Some Ostrowski type inequalities via Cauchy's mean value theorem and applications for certain particular instances of functions are ...
Dragomir, Sever Silvestru
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