[PDF] Top 20 On the Generalized Ostrowski Type Integral Inequality for Double Integrals

... the inequality (1.2) is established by the use of integral identity involving Peano ...an inequality in the view ...for Ostrowski type inequalities in several independent variables and ... See full document

... Inequality (1) has wide applications in numerical analysis and in the theory of special means; estimating error bounds for mid-point, trapezoid and Simpson rules and other quad- rature rules, etc. It has attracted ... See full document

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

... some Ostrowski and trapezoid type inequalities for the k-g-fractional integrals of functions of bounded ...fractional integral are also ... See full document

... [Hermite-Hadamard inequality] Let f : I ⊆ R →R be a convex function on the interval I of real numbers and a, b ∈ I with a < ...following double inequality, which is well known in the literature as ... See full document

... an Ostrowski Type Inequality in two di- mensions for n − time differentiable mappings are ...gral Inequality with bounded n − time ...mate double integrals using one dimensional ... See full document

... The main aim of our study is to establish the conformable fractional version of the inequality (2). The remainder of this work is organized as follows: In Section 2, we give the definitions and properties of the ... 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

... Cebysev inequality for double integrals, please see ([7], [8], [11] ...Cebysev type inequality for double integrals using the probability density ...a generalized ... 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

... 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

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

... Lü Zhongxue: Department of Basic Science, Technology Education College, Xuzhou Normal University, Xuzhou 221011, China Xie Hongzheng: Department of Mathematics, Harbin Institute of Techn[r] ... See full document

... under various assumptions on the absolutely continuous function Φ, which in the particular case of x = R Ω gdµ provides some results connected with Jensen’s inequality while in the case λ = 0 provides some ... See full document

... On making use of an argument similar to the one in [9, Theorem 6], we have: Lemma 3. Let f P g 2 [0;2 ] be the spectral family of the unitary operator U on the Hilbert space H: Then for any x; y 2 H and 0 < 2 we have ... See full document

... The Ostrowski inequality has been generalised for functions of bounded varia- tions (see [15, ...classical Ostrowski inequality and the trapezoidal type inequality were obtained ... See full document

... f ( s ) ds dt . (1.12) The inequality between the first and the last term in (1.12) has been obtained by Cheng and Sun [8]. However, the sharpness of the constant 1 2 , a generalization for the abstract Lebesgue ... See full document

... [1] Barnett, N.S.; Cheung, W.-S.;Dragomir, S.S. and Sofo, A.;Ostrowski and trapezoid type inequalities for the Stieltjes integral with Lipschitzian integrands or integrators, Preprint, RGMIA Res. ... See full document

... many integral inequalities have been established, which provide handy tools for investigating the quantitative and qualitative properties of solu- tions of integral and differential ...Gronwall-Bellman ... See full document

... basic inequality which deals with the comparison between integrals over a whole interval [a, b] and integrals over a subset of [a, b] is the following ... See full document