Convex functions and Fourier coefficients |
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Authors: | Niculescu Constantin P Rovenţa Ionel |
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Institution: | 1.Department of Mathematics, University of Craiova, 200585, Craiova, Romania ;3.Department of Mathematics, University of Craiova, Street A. I. Cuza 13, 200585, Craiova, Romania ; |
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Abstract: | Positivity - The aim of this paper is to prove that the cosine Fourier coefficients $$a_{mn}$$ (with $$m,n\ge 1)$$ of a Popoviciu convex function of two variables are nonnegative. |
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