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

... 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

... integral inequality [] in . In , Ostrowski [] established an interesting integral inequality associated with differentiable mappings which has pow- erful applications in ... 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

... 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

... 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

... [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

... 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

... 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

... 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

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

... integral inequality of Ostrowski type for mappings with bounded second ...similar inequality has been established by ...integral inequality of Ostrowski ... See full document

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

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

... 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

... 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

... 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

... The constant 1 2 is sharp in the sense that it cannot be replaced by a smaller constant. In [12], the following result complementing the above one was obtained. Theorem 10. Let f, u : [a, b] → R be such that u : [a, b] → ... See full document

... inequalities whose error bounds were expressed in term of Lebesgue norms of the integrand partial ...function whose first partial derivatives exist and satisfy certain convexity prop- erties over a ... See full document