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ON THE HADAMARD’S INEQULALITY FOR CONVEX FUNCTIONS ON THE CO-ORDINATES IN A RECTANGLE FROM THE PLANE
- S. Dragomir
- 12 January 2001
An inequality of Hadamard’s type for convex functions and convex functions on the co-ordinates defined in a rectangle from the plane and some applications are given.
An inequality of Ostrowski-Grüss' type and its applications to the estimation of error bounds for some special means and for some numerical quadrature rules
Abstract In this paper we derive a new inequality of Ostrowski-Gruss' type and apply it to the estimation of error bounds for some special means and for some numerical quadrature rules.
Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula
Abstract In this paper, we shall offer two inequalities for differentiable convex mappings which are connected with the celebrated Hermite-Hadamard's integral inequality holding for convex functions.… Expand
Some inequalities of Hadamard type
A sharp Hadamard s inequality is proved for the class of functions introduced by Godunova and Levin A new class P I of quasi convex functions on an interval I is introduced f I R belongs to P I i for… Expand
Two Mappings in Connection to Hadamard's Inequalities
- S. Dragomir
- 1 June 1992
+ [w are known in the literature as Hadamard’s inequalities. We note that J. Hadamard was not the first who discovered them. As is pointed out by D. S. Mitrinovic and I. B. LaEkoviC  the… Expand
Trapezoidal Type Rules from an Inequalities Point of View
The article investigates trapezoid type rules and obtains explicit bounds through the use of a Peano kernel approach and the modern theory of inequalities. Both Riemann-Stieltjes and Riemann… Expand
Ostrowski type inequalities and applications in numerical integration
List of Figures. List of Tables. Preface. List of Symbols. 1. Generalizations of the Ostrowski Inequality and Applications S.S. Dragomir, T.M. Rassias. 2. Integral Inequalities for eta-Times… Expand
An Inequality of Grüss Type for Riemann-Stieltjes Integral and Applications for Special Means
In this paper we derive a new inequality of Gruss' type for Riemann- Stieltjes integral and apply it for special means (logarithmic mean, identric mean, etc...).