[PDF] Top 20 An Integral Inequality for Twice Differentiable Mappings and Applications

... An integral inequality is developed from which when applied to composite quadrature rules in numerical integration it is proved that there is a three fold improvement in the remainder of the classical ... 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

... weighted integral inequality of Ostrowski type for twice differentiable mappings whose second derivatives are bounded and first derivatives are absolutely ...weighted integral ... 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 quadrature rules, Computers Math. WANG[r] ... See full document

... f (x) dx for general classes of mappings as discussed in Remark 2.1 and Remark 2.2. Moreover, if we consider equidistant partitioning of [a, b], then the perturbed term in both formulae will involve the ... See full document

... DRAGOMIR, On the Ostrowski’s integral inequality for mappings with bounded variation and applications, Mathematical Inequalities and Applications, 4(1) (2001), 59-66.. [6] S.S.[r] ... See full document

... A weighted interpolation of Jensen’s integral inequality and some applications for Hadamard’s inequality are given1. Some particular examples are also examined.[r] ... See full document

... an integral inequality has established of Ostrowski type by ...for mappings with bounded second ...type integral inequality give a same sense to that of [3] or ... See full document

... type integral inequality for functions whose second derivatives are bounded is established by ...similar inequality. in [4], an Ostrowski type integral inequality is similar in sense as ... See full document

... DRAGOMIR, A Gr¨ uss type integral inequality for mappings of r -H¨ older’s type and applications for trapezoid formula, Tamkang J.. DRAGOMIR, Some integral inequalities of Gr¨ uss type, [r] ... See full document

... following integral inequality which estab- lishes a connection between the integral of the product of two functions and the product of the integrals of the two functions is well known in literature ... 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

... an integral inequality [] in ...interesting integral inequality associated with differentiable mappings which has pow- erful applications in numerical integration, probability ... See full document

... Dragomir, A generalization of Ostrowski’s integral inequality for mappings with bounded variation and applications in numerical integration, Bull.. Soc ., accepted.[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

... converse inequality for Jensen’s result (1.1) for the case of differentiable convex mappings whose partial derivatives are ...bounded. Applications for some particular inequalities and for the ... See full document

... Goh, A counterpart of Jensen’s discrete inequality for differentiable convex mappings and applications in information theory , Math.. Goh, Some bounds on entropy measures in information [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

... FEDOTOV, An inequality of Gr¨ uss type for the Riemann-Stieltjes integral and applications for special means, Tamkang J. FEDOTOV, A Gr¨ uss type inequality for mappings of bounded[r] ... See full document

... Jensen’s inequality while in the case λ = 0 provides some generalizations of Ostrowski’s ...inequality. Applications for divergence measures are provided as ... See full document