On some new inequalities for differentiable co-ordinated convex functions
Muhammad Latif,Sever S Dragomir +1 more
Reads0
Chats0
TLDR
In this paper, the Hermite-Hadamard type inequality for differentiable co-ordinated convex and concave functions in two variables which are related to the left side of Hermite Hadamard Type Inequality was obtained.Abstract:
Several new inequalities for differentiable co-ordinated convex and concave functions in two variables which are related to the left side of Hermite- Hadamard type inequality for co-ordinated convex functions in two variables are obtained. Mathematics Subject Classification (2000): 26A51; 26D15read more
Citations
More filters
Journal ArticleDOI
Quantum variant of Montgomery identity and Ostrowski-type inequalities for the mappings of two variables
TL;DR: In this paper, the quantum version of the Montgomery identity for the functions of two variables was demonstrated and the result was used to derive some new Ostrowski-type inequalities for the function of the two variables via quantum integrals.
Journal ArticleDOI
Hermite–Hadamard type inequalities for extended s-convex functions on the co-ordinates in a rectangle
Bo-Yan Xi,Jü Hua,Feng Qi +2 more
TL;DR: In this article, the authors obtained some Hermite-Hadamard type integral inequalities for extended s-convex functions on the co-ordinates in a rectilinear rectangle.
Journal ArticleDOI
Some q-analogues of Hermite–Hadamard inequality of functions of two variables on finite rectangles in the plane
TL;DR: In this article, a q 1 q 2 -Holder inequality for functions of two variables over finite rectangles is established, and some quantum estimates of trapezoidal type inequality of functions of 2D variables whose q √ q 2 −partial derivatives in absolute value with certain powers satisfy the criteria of convexity on co-ordinates.
Journal ArticleDOI
On some Hadamard-type inequalities for ( h 1 , h 2 )-preinvex functions on the co-ordinates
TL;DR: In this paper, the class of -preinvex functions on the co-ordinates was introduced, and some new inequalities of Hermite-Hadamard and Fejer type for such mappings were proved.
Journal ArticleDOI
Some Hermite-Hadamard Type Inequalities for Differentiable Co-Ordinated Convex Functions and Applications
TL;DR: In this article, the Hermite-Hadamard inequality for differentiable co-ordinated convex functions on a rectangle from the plane is established and six other inequalities are derived from it for some refinements.
References
More filters
Book
Convex Functions, Partial Orderings, and Statistical Applications
TL;DR: In this paper, the authors present a survey of the applicability of Jensen's inequality to means and H*adolder's Inequalities, as well as a discussion of Reversals, Refinements, and Converses of Jensen and Steffensen's inequalities.
Posted Content
Selected Topics on Hermite-Hadamard Inequalities and Applications
TL;DR: The Hermite-Hadamard double inequality for convex functions has been studied extensively in the literature, see as discussed by the authors for a survey of the Hermite Hadamard inequalities.
Journal ArticleDOI
Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula
Sever S Dragomir,Ravi P. Agarwal +1 more
TL;DR: In this paper, two inequalities for differentiable convex mappings which are connected with the celebrated Hermite-Hadamard's integral inequality holding for convex functions are given.
Journal ArticleDOI
On the hadamard’s inequlality for convex functions on the co-ordinates in a rectangle from the plane
TL;DR: An inequality of Hadamard's type for convex functions on the co-ordinates defined in a rectangle from the plane and some applications are given in this article, where some applications of the inequality are discussed.
Journal ArticleDOI
On some inequalities for differentiable mappings and applications to special means of real numbers and to midpoint formula
TL;DR: Some inequalities are presented here for differentiable convex mappings, using Hermite-Hadamard's integral inequality holding for convex functions, and some error estimates for the midpoint formula are obtained.