Higher-order generalizations of Hadamard's inequality
By M. Bessenyei, Zsolt Páles. Publicationes mathematicae (Debrecen), 2002
52 citations recorded by the source corpus.
In this paper we derive generalizations of Hadamard's classical in- equality for higher-order convex functions. In the proof the remainder formula of the Hermite-Fejer interpolation and a smoothing technique is used.
Subfields: Electrical and Electronic Engineering
View Paper: https://www.semanticscholar.org/paper/77850ce36ee3e919b452646b9927113349756980
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In Electrical and Electronic Engineering
Citations in the corpus
- SIMPLE PROOF AND REFINEMENT OF HERMITE-HADAMARD INEQUALITY (2010, background): “A generalization to higher-order convex functions can be found in [1] , while [2] offers a generalization for functions that are Beckenbach-convex with respect to the two dimensional linear space of continuous functions.”