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An Inequality of Ostrowski Type for Twice Differentiable Mappings in Terms of the Lp Norm and Applications
... [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
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Generalization of weighted Ostrowski integral inequality for twice differentiable mappings
... In the present paper we introduce weights on the generalization of Ostrowski-type inequality (1.1) which was proved by Fiza Zafar and Nazir Ahmad Mir in [11] and has its application in Numerical ... See full document
94
Better Bounds for an Inequality of the Ostrowski Type with Applications
... in terms of Euclidean ...continuous mappings whose derivatives are bounded, the new inequality will also apply for the larger class of absolutely continuous mappings whose derivative f 0 ∈ ... See full document
22
A generalized Ostrowski Grüss type inequality for bounded differentiable mappings and its applications
... 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 ... See full document
28
A Trapezoid Type Inequality for Double Integrals
... 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
54
Generalization of weighted Ostrowski inequality with applications in numerical integration
... of Ostrowski-type inequality (1) using different kernel and will also state its application in Numerical quadrature rules, probability theory and special ...in inequality (1) from which we get ... See full document
16
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 ... See full document
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An Inequality of Ostrowski-Grüss Type for Twice Differentiable Mappings and Applications in Numerical Integration
... 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
29
Generalized Ostrowski inequality with applications in numerical integration and special means
... remarkable Ostrowski type inequal- ities depending on the second derivatives are ...mentioned. Ostrowski type inequalities for twice differentiable functions have been lengthily ... See full document
14
A new generalization of the trapezoid formula for N-time differentiable mappings and applications
... 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
55
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
62
Some inequalities for f-divergences via Slater's inequality for convex functions
... Goh, A counterpart of Jensen’s discrete inequality for differentiable convex mappings and applications in information theory , Math.. Goh, Some bounds on entropy measures in information [r] ... See full document
15
On Chebyshev Functional and Ostrowski-Grus Type Inequalities for Two Coordinates
... The Chebyshev functional (1) has a long history and an extensive repertoire of applications in many fields including numerical quadrature, transform theory, probability and statistical problems and special ... See full document
5
A Weighted Ostrowski- Gr¨uss Type Inequality and Applications
... 1938, Ostrowski first proclaimed his inequality for dif- ferentiable ...Newton-Cotes type quadrature rules have been examined ...in terms of a variety of Lebescue spaces involving, at most, the ... See full document
112
A Perturbed Version of General Weighted Ostrowski Type Inequality and Applications
... The Ostrowski’s inequality [1] can be considered as a very powerful tool for enhancement of numerical integration rules. It provides convenient potintial window for establishing bounds for the well known Newton- ... See full document
248
Ostrowski and Jensen type inequalities for higher derivatives with applications
... Jensen’s inequality has been widely applied in many areas of research, ...The inequality was proved by Jensen in 1906 [13]: For a convex function f : I → R , the following inequality ... See full document
81
Some Landau Type Inequalities for Functions Whose Derivatives are of Locally Bounded Variation
... 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
27
Some Inequalities for Functions of Bounded Variation with Applications to Landau Type Results
... the inequality between the integral mean and the p−norm for p ∈ [1, ∞] are ...established. Applications related to the celebrated Landau inequality between the norms of the derivatives of a ... See full document
32
Some Inequalities for n-Time Differentiable Mappings Using a Multi-Step Kernel with Applications
... 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
65
A Grüss type inequality and its applications
... Recently, Dragomir and Agarwal [3] (or Dragomir and Diamond [4]) presented a gen- eral Gr¨uss-type inequality for complex n-tuples in terms of the first differences of them. Theorem 1.3 [3, Theorems ... See full document
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