On The Hadamard's Inequality for Log-Convex Functions on the Coordinates

By Mohammad Wajeeh Alomari, Maslina Darus. 2009

115 citations recorded by the source corpus.

Inequalities of the Hadamard and Jensen types for coordinated log-convex functions defined in a rectangle from the plane and other related results are given.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/ee0b1dcff6b56701079b781dc3dc9667f9f00894

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In Applied Mathematics

In Geometry and Topology

Citations in the corpus

Hermite-Hadamard's inequalities for fractional integrals and related fractional inequalities (2013, background): “Hadamard’s inequality for convex functions has received renewed attention in recent years and a remarkable variety of refinements and generalizations have been found; see, for example, [3–6,2,7–11,1,12,13] and the references cited therein.”
Some inequalities of Hermite-Hadamard type for s-convex functions (2011, result): “B For recent results, refinements, counterparts, generalizations and new Hadamard’s-type inequalities see [1–8] and [10–19].”
New inequalities for fractional integrals and their applications (2016, background): “Then |f ′| is convex on [0, 1] .”
The Hermite-Hadamard's inequality for some convex functions via fractional integrals and related results (2011, background): “Hadamard’s inequality for convex functions has received renewed attention in recent years and a remarkable variety of refinements and generalizations have been found (see, for example, [1]-[16]).”