Results 81 to 90 of about 3,593 (185)
High order Ostrowski type inequalities
By using a generalized Euler type identity and the way of analysis, the Ostrowski inequality is extended for high-order derivatives. Some of the inequalities produced are sharp. Some applications to trapezoidal and mid-point rules are given. For some particular integers, some estimates are given with respect to \(L_\infty\)-norm.
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Perturbations of an Ostrowski type inequality and applications
Two perturbations of an Ostrowski type inequality are established. New error bounds for the mid-point, trapezoid, and Simpson quadrature rules are derived. These error bounds can be much better than some recently obtained bounds.
Nenad Ujević
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Some Ostrowski Type Inequalites via Cauchy's Mean Value Theorem
Some Ostrowski type inequalities via Cauchy's mean value theorem and applications for certain particular instances of functions are ...
Dragomir, Sever Silvestru
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NEW WEIGHTED OSTROWSKI AND OSTROWSKI-GRÜSS TYPE INEQUALITIES ON TIME SCALES
Abstract In this paper we derive new weighted Ostrowski and Ostrowski-Grüss type inequalities on time scales. Some other interesting inequalities on time scales are also given as special cases.
Liu, Wenjun, Tuna, Adnan, Jiang, Yong
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A Perturbed Version of General Weighted Ostrowski Type Inequality and Applications
The main purpose of this paper is to derive some new generalizations of weighted Ostrowski type inequalities. The new established inequalities are carried out for a twice differentiable mapping in different L p spaces.
Waseem Ghazi Alshanti
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RETRACTED ARTICLE: Generalization of the Levinson inequality with applications to information theory
In the presented paper, Levinson’s inequality for 3-convex function is generalized by using two Green’s functions. Čebyšev, Grüss, and Ostrowski-type new bounds are found for the functionals involving data points of two types.
Muhammad Adeel +3 more
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Generalization and improvement of Ostrowski type inequalities
The goal of this study to obtain the new generalization of Ostrowski inequality for bounded functions by using new generalized Montgomery identity which is proved. The results presented here would provide extensions of those given in earlier works.
Sarıkaya, Mehmet Zeki +1 more
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Quantum Estimates for Different Type Intequalities through Generalized Convexity. [PDF]
Almutairi OB.
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We first derive a perturbed Ostrowski-type inequality on time scales for k points for functions whose second derivatives are bounded and then unify corresponding continuous and discrete versions.
Wenbing Chen +2 more
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Norm estimates are developed between the Bochner integral of a vector-valued function in Banach spaces having the Radon-Nikodym property and the convex combination of function values taken on a division of the interval [a,b]
Cerone, P. +4 more
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