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arxiv: 1601.06123 · v1 · pith:34KTANW3new · submitted 2015-12-15 · 🧮 math.CA

Affine and Functional Form of Jensen's Inequalitiy for 3-convex Functions at a Point

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keywords jensenaffineconvexformfunctionalfunctionsinequalitypoint
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In this paper, we give the refinement of an extension of Jensen's inequality to affine combinations. Furthermore, we present the functional form of Jensen's inequality for continuous 3-convex functions of one variable at a point.

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