Hadamard-Type Inequalities for s-Convex Functions

By Mohammad Wajeeh Alomari, Maslina Darus. 2008

268 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/e762c72fa0191d46c7fefb0323988fd0f7a0e0a7

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Citations in the corpus

On the Hermite-Hadamard Inequality and Other Integral Inequalities Involving Two Functions (2010, unknown): “In [10], analogous results for s-convex functions were proved by Kırmacı, Bakula, Özdemir and Pečarić.”
Inequalities of Hermite-Hadamard Type for h-Convex Functions on Linear Spaces (2015, result): “(1.3) Motivated by the above results, in this paper we extend the concept of h-convexity introduced for functions of a real variable in [52] to functions defined on convex subsets of real or complex linear spaces and provide some Hermite-Hadamard type inequalities generalizing and improving (1.2).”
Generalizations of Hermite–Hadamard inequality to n-time differentiable functions which are s-convex in the second sense (2012, background): “For detailed information about Hermite–Hadamard type inequalities for s-convex in the second sense, please refer to [4, 6, 8] and related references therein.”
New Inequalities of Simpson's Type for s-Convex Functions with Applications (2009, unknown): “For recent results and generalizations concerning Hadamard’s inequality see [1, 2] and [14] – [18].”
GENERALIZATION OF INEQUALITIES ANALOGOUS TO HERMITE-HADAMARD INEQUALITY VIA FRACTIONAL INTEGRALS (2015, background): “In recent years, numerous generalizations, extensions and variants of Hermite–Hadamard inequality (1) were studied extensively by many researchers and appeared in a number of papers, see [8, 10, 11, 12, 13].”
On hermite-hadamard inequalities for h-preinvex functions (2014, methodology): “Now using the technique of [14], we prove the following result which play a key role in proving our next results.”