Hadamard Type Inequalities for m-Convex and ({\alpha},m)-Convex Functions via Fractional Integrals
By M. Özdemir, M. Avci, Ahmet Ocak Akdemir, A. Ekinci. 2012
55 citations recorded by the source corpus.
In this paper, we established some new Hadamard-type integral inequalities for functions whose derivatives of absolute values are m-convex and ({\alpha},m)-convex functions via Riemann-Liouville fractional integrals.
Subfields: Applied Mathematics
View Paper: https://www.semanticscholar.org/paper/93aa7eacf32dd2c08d081a5ddecf34527efe74e2
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In Applied Mathematics
- Erhan Set
- Ahmet Ocak Akdemir
- Muhammad Amer Latif
- M. Özdemir
- Sever Silvestru Dragomir
- M. Sarıkaya
- Y. Chu
- Mohammad Wajeeh Alomari
Citations in the corpus
- On some Hadamard-type inequalities for product of two s-convex functions on the co-ordinates (2012, background): “For refinements, counterparts, generalizations and new Hadamard-type inequalities see the papers [1, 2, 3, 4, 5, 8, 9, 10, 12, 21, 22, 23, 24].”
- On the Hermite-Hadamard Inequality and Other Integral Inequalities Involving Two Functions (2010, background): “In [1], Bakula, Özdemir and Pečarić improved Hadamard type inequalities for products of two m-convex and (α, m)-convex functions.”
- A new generalization of some integral inequalities for (α,m)-convex functions (2013, unknown): “For recent results and generalizations concerning (α,m)-convex functions, see [1-8].”