Convex functions and Fourier coefficients
| Autor: | Constantin P. Niculescu, Ionel Rovenţa |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Pure mathematics
021103 operations research General Mathematics 010102 general mathematics 0211 other engineering and technologies 02 engineering and technology Operator theory 01 natural sciences Potential theory Theoretical Computer Science symbols.namesake Fourier analysis symbols Trigonometric functions 0101 mathematics Convex function Fourier series Analysis Mathematics |
| Zdroj: | Positivity. 24:129-139 |
| ISSN: | 1572-9281 1385-1292 |
| DOI: | 10.1007/s11117-019-00670-8 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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