[PDF] Top 20 Better Bounds for an Inequality of the Ostrowski Type with Applications

... a better bound for the first membership of ...new inequality will also apply for the larger class of absolutely continuous mappings whose derivative f 0 ∈ ... See full document

... an Ostrowski type inequality are established. New error bounds for the mid-point, trapezoid, and Simpson quadrature rules are ...error bounds can be much better than some ... 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

... 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 the ... 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

... sharp bounds of ...new bounds have been carried out by implementing weighted and non-weighted Peano ...derived. Applications in both numerical integration and probability are also presented in this ... 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

... 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, 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

... 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

... an Ostrowski type inequality for convex ...functions. Applications for quadrature rules, for integral means, for probability distribution functions, and for HH−divergences in Information ... See full document

... Levinson’s inequality for the 3- convex function is generalized by using two Green functions defined by (10) and ...and Ostrowski-type new bounds are found for the functionals involving data ... See full document

... lower bounds of the first derivative of the integrand. Bounds of Ostrowski type quadrature rules are obtained and the classical Iyengar inequality for the trapezoidal rule is recaptured ... See full document

... CERONE, An Ostrowski type inequality for double integrals in terms of L p -norms and applications in numerical integration, Anal.. BARNETT and S.S[r] ... See full document

... of Ostrowski and Jensen type are obtained as special cases, by setting λ = 0 and ζ = g d μ , ...some bounds for the discrepancy in Jensen’s integral ...inequality. Applications of these ... 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

... 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

... Pachpatte, “On an inequality of Ostrowski type in three independent variables,” Journal of Mathematical Analysis and Applications, vol.. Pachpatte, “On a new Ostrowski type inequality in[r] ... See full document

... This paper is made up of five sections. In Section 2, we lay a quick foundation of the theory of time scales. Our main results (Theorems 3.1 and 3.2) are then formulated and proved in Section 3. Thereafter, we then give ... See full document

... Steffensen’s inequality to n-convex functions using Taylor’s ...obtain bounds for iden- tities related to generalizations of Steffensen’s ...with Ostrowski- type inequalities related to obtained ... See full document