On Hadamard-Type Inequalities Involving Several Kinds of Convexity
By Erhan Set, M. Özdemir, Sever Silvestru Dragomir. 2010
67 citations recorded by the source corpus.
We do not only give the extensions of the results given by Gill et al. (1997) for log-convex functions but also obtain some new Hadamard-type inequalities for log-convex -convex, and -convex functions.
Subfields: Applied Mathematics
View Paper: https://www.semanticscholar.org/paper/dbd80c7b6bd483706d512936fcd8bed638a4b774
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In Applied Mathematics
- M. Sarıkaya
- Hüseyin Yildirim
- Imdat Iscan
- Erhan Set
- M. Özdemir
- Mohamed Jleli
- Pshtiwan Othman Mohammed
- Muhammad Aslam Noor
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.”
- Hermite-Hadamard type inequalities for harmonically convex functions (2013, background): “1) we refer the reader to the recent papers (see [1, 2, 3, 4, 6, 5, 7] ).”
- 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]).”