ON THE HADAMARD’S INEQULALITY FOR CONVEX FUNCTIONS ON THE CO-ORDINATES IN A RECTANGLE FROM THE PLANE

By Sever Silvestru Dragomir. 2001

380 citations recorded by the source corpus.

Subfields: Applied Mathematics, Geometry and Topology, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/b562fd9595e028ab93c05c59a03b5b4f800fcde4

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In Applied Mathematics

In Geometry and Topology

In Numerical Analysis

Citations in the corpus

Conformable Fractional Integrals Versions of Hermite-Hadamard Inequalities and Their Generalizations (2018, methodology): “Under the assumptions of Theorem 16, if we put α = 1, we get the Hermite-Hadamard inequality for coordinate convex function obtained by Dragomir in [2].”
Some q-analogues of Hermite–Hadamard inequality of functions of two variables on finite rectangles in the plane (2017, neutral): “Main results Before we proceed to prove the main results of this section, we refer the readers to Dragomir (2001), Latif and Alomari (2009) and Özdemir et al. (2012) to study the basic properties of convex and quasi-convex functions on the co-ordinates on a; b½ c; d½ .”
Integral inequalities for coordinated Harmonically convex functions (2015, background): “Dragomir [4] extended the concept of convex functions on coordinates and derived Hermite–Hadamard inequalities for convex functions on coordinates.”
The Hadamard's Inequality for s-Convex Function (2008, background): “In [3], Dragomir established the following similar inequality of Hadamardtype for co-ordinated convex mapping on a rectangle from the plane R(2).”
On the Hermite–Hadamard-type inequalities for co-ordinated convex function via fractional integrals (2014, background): “Recently, in [1], Dragomir establish the following similar inequality of Hermite–Hadamardtype for co-ordinated convex mapping on a rectangle from the plane R2.”
Discrete majorization type inequalities for convex functions on rectangles (2019, background): “In [51], Dragomir introduced the definition of the coordinate convex functions as follows:”
Hermite–Hadamard type inequalities for co-ordinated convex and qausi-convex functions and their applications (2019, positive): “Dragomir [71] proved that every convex mapping Φ : [λ1,λ2] × [ξ1, ξ2] → R is convex on the co-ordinates and the reverse is not true, and established the Hermite–Hadamard type inequality for the co-ordinated convex function on the rectangle of the plane R2.”