[PDF] Top 20 An Ostrowski Type Inequality for Mappings Whose Second Derivatives are Bounded and Applications

... 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

... 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 mention only ... See full document

... This weight is present in many physical problems; the main body of which exhibit some axial symmetry. Special logarithmic rules are used extensively in the Boundary Element Method popularized by Brebbia (see for example ... 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

... In [], Dragomir and Wang improved the above inequality and proved the following Ostrowski type inequality in terms of the lower and upper bounds of the first derivative. Theorem  Let f : [a, ... See full document

... integral inequality has established of Ostrowski type by ...for mappings with bounded second ...indicated Ostrowski type integral inequality give a same ... See full document

... Ostrowski’s inequality for absolutely continuous ...bounded mappings. In [], Liu established some companions of an Ostrowski-type integral inequality for functions whose ... See full document

... integral inequality for mappings whose derivatives are bounded and applications in numeri- cal integration and for special means, ... See full document

... for Ostrowski type inequalities, depending on the second derivatives, are stated in this ...Weighted Ostrowski type inequalities for the second derivative of the functions ... See full document

... integral inequality of Ostrowski type for twice differentiable mappings whose second derivatives are bounded and first derivatives are absolutely ...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

... Math. DRAGOMIR, The Ostrowski integral inequality for mappings of bounded variation, Bull. DRAGOMIR, On the Ostrowski’s integral inequality for mappings with bounded varia- tion and appl[r] ... See full document

... perturbed Ostrowski-type inequality on time scales for k points for functions whose second derivatives are bounded and then unify corresponding continuous and discrete ... See full document

... Alomari, A Generalization of weighted companion of Ostrowski integral inequality for mappings of bounded variation , RGMIA Research Report Collection, 14(2011), Art.. Alomari and M.A.[r] ... 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

... 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

... The following corollary may be useful in applications [10]. Corollary 1. Let f be Lipschitzian with the constant L > 0, i.e., (2.17) |f (t) − f (s)| ≤ L |t − s| for any t, s ∈ [a, b] , and u, g are as in ... 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

... All the inequalities in (1.1) are sharp and the constant 1 2 is the best possible one. In the present paper we shall obtain a generalization of this result which also contains trapezoid and Simpson type ... 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