[PDF] Top 20 An Identity for n-time Differentiable Functions and Applications for Ostrowski Type Inequalities

... 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 ty[r] ... See full document

... using identity (1.2), and further, obtain some new Ostrowski-type inequalities, as well as the generalizations of the estimations of the difference of two weighted integral means ... See full document

... Pachpatte, New inequalities of Ostrowski and Trapezoid type for n-time differentiable functions, Bull.. Tong, Convex Function, Partial Ordering and Statistical Applications, Academic Pre[r] ... See full document

... An Ostrowski type inequality for general convex functions defined on linear spaces is ...Some inequalities which improve the Hermite- Hadamard type inequality for convex ... See full document

... This result is known in the literature as the Ostrowski inequality. For recent results and generalizations concerning Ostrowski’s inequality, see [–] and the references therein. Definition  [] We say that f : I ... 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

... 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 ... See full document

... (22) Proof. The proof is immediate from Corollary 4 with f x y ( ) , = x y m n , x y , ∈  , m n , ∈  , m ≥ 2 , n ≥ 2 . Proposition 2. Suppose a , b , c , d ∈  , a b < , c d < , 0 ∉ [ ] a b , ... 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

... such inequalities were studied extensively by many researches and numerous generalizations, extensions, variants and applications can be found in the literature ... See full document

... An n−dimensional version of Os- trowski’s inequality for mappings of H¨ older type, Kyungpook ...of Ostrowski inequality for mappings of H¨ older type and applications in numerical ... See full document

... integral inequalities of Ostrowski type for the Stieltjes inte- gral are ...integrators. Applications for the mid-point inequality that are useful in the numerical analysis of Stieltjes ... See full document

... new Ostrowski-Grüss type inequalities involving multiple interior points with the first-order derivative bounded by functions instead of constants, some of which provide sharp ...2D ... See full document

... called Ostrowski type ...many applications, in particular in the area of numerical methods, and are heav- ily ...with Ostrowski type inequalities for univariate functions ... See full document

... Abstract In the paper, by creating an integral identity involving an n-times differentiable function, the authors establish some new Hermite-Hadamard type inequalities for preinvex functi[r] ... See full document

... Lemma 2.8. Let K ⊆ R be an open m-invex subset with respect to η : K × K × (0, 1] −→ R for some fixed m ∈ (0, 1], r ∈ [0, 1] and let a, b ∈ K, a < b with ma < ma + η (b, a,m). Assume that f : K −→ R is a mapping ... See full document

... new inequalities Hermite-Hadamard type are obtained for functions whose nth derivatives in absolute value are s-convex ...several inequalities of Hermite-Hadamard type can be derived in ... See full document

... Note that for n = 1 and the infinite norm, Theorem 2 reduces to Theorem 1. In the next section we develop an integral equality that will permit us to obtain bounds for the error estimate in a generalised trapezoid ... See full document

... remarkable Ostrowski type inequal- ities depending on the second derivatives are ...mentioned. Ostrowski type inequalities for twice differentiable functions have been ... See full document

... continuous n-th ...3: inequalities with bounds involving the p-norms (1 ≤ p ≤ ∞), in- equalities for functions with further assumptions of bounded (n + 1)-th derivatives, and ... See full document