[PDF] Top 20 An N-Dimensional Version of Ostrowski's Inequality For Mappings of the Hölder Type

... WANG, An inequality of Ostrowski-Gr¨ uss’ type and its applications to the estimation of error bounds for some special means and for some numerical quadrature rules, Computers Math. WANG[r] ... See full document

... S.S. DRAGOMIR AND N.S. An integral inequality of Ostrowski’s type for mappings whose second derivatives are bounded is proved. Applications in Numerical Integration and for special means[r] ... See full document

... Here, the constant 1 4 is sharp in the sense that it cannot be replaced by a smaller constant. We also observe that the tightest bound is obtained at x = a+b 2 , resulting in the well-known mid-point inequality. ... See full document

... continuous mappings whose derivatives are bounded, the new inequality will also apply for the larger class of absolutely continuous mappings whose derivative f 0 ∈ ... See full document

... In the present paper we introduce weights on the generalization of Ostrowski-type inequality (1.1) which was proved by Fiza Zafar and Nazir Ahmad Mir in [11] and has its application in Numerical ... See full document

... [4] S. S. Dragomir, P. Cerone, and J. Roumeliotis, A new generalization of Ostrowski’s integral inequality for mappings whose derivatives are bounded and applications in numeri- cal ... See full document

... Wang, An Inequality of Ostrowski-Gr¨ uss’ Type and Its Applications to the Estimation of Error Bounds for Some Special Means and for Some Numerical Quad- rature Rules , Computers Math.. [r] ... See full document

... WANG, Applications of Ostrowski's inequality to the estimation of error bounds for some special means and some numerical quadrature rules, Appl. WANG A new inequality of Ostrowski's type[r] ... See full document

... WANG, Applications of Ostrowski's inequality to the estimation of error bounds for some special means and some numerical quadrature rules, Appl.. PECARIC and A.M[r] ... See full document

... In Section , we discuss some special cases of our results. We provide a generalised version of the Ostrowski inequality (.) (cf. Proposition ) in the measure-theoretic (and probabilistic) form in ... See full document

... [5] S.S. Sofo, An integral Inequality for twice differentiable mappings and ap- plications, submitted, 1999... Dragomir) , School of Communications and Informatics, Victoria University o[r] ... See full document

... McAndrew, On trapezoid inequality via a Griiss type result and applications, accepted in Tamkang J. Wang, The unified treatment of trapezoid, Simpson and Ostrowski type inequality f[r] ... See full document

... In 1976, G.V. Milovanovi´ c and J.E. Pe˘ cari´ c proved a generalization of Os- trowski’s inequality for n-time differentiable mappings (see for example [2, p.468] ) from which we would like to ... See full document

... The Ostrowski’s inequality [1] can be considered as a very powerful tool for enhancement of numerical integration rules. It provides convenient potintial window for establishing bounds for the well known Newton- ... See full document

... generalized Ostrowski-Grüss type inequality for differentiable mappings using the weighted Grüss inequality which is another generalization of inequalities established and discussed by ... See full document

... S. We point out a new inequality of the Ostrowski type for mappings of two independent variables, which complements, in a sense, some recent results and apply it to the approximation pro[r] ... See full document

... an n point rule, the first n + 1 moments are needed (or equivalently the 2n+1 coefficients of the continued frac- tion expansion [11, 10]) to construct the appropriate orthogonal polynomial and then a ... See full document

... Barnett and Dragomir [1], Milovanovi´ c [5], Pachpatte [6] and Hanna et al. [4] developed two dimensional integral inequalities whose error bounds were expressed in term of Lebesgue norms of the integrand partial ... See full document

... All the inequalities in (1.8) are sharp and the constant 1 2 is the best possible. In this paper we establish an Ostrowski type inequality for convex functions. Applications for quadrature rules, for ... See full document

... In [9], M. Mati´ c and J. Peˇ cari´ c gave a two-point Ostrowski type inequality, as a generalization of (1.3), by replacing the condition of differentiability of f and boundedness of f 0 on (a, b) ... See full document