Convex functions and Fourier coefficients

DOI10.1007/s11117-019-00670-8zbMath1436.42015OpenAlexW2934115349WikidataQ128151974 ScholiaQ128151974MaRDI QIDQ2299372

Ionel Rovenţa, Constantin P. Niculescu

Publication date: 21 February 2020

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-019-00670-8

zbMATH Keywords

Fourier coefficients\(2d\)-monotonicitydivided double differencePopoviciu convex function

Mathematics Subject Classification ID

Fourier series and coefficients in several variables (42B05) Convexity of real functions of several variables, generalizations (26B25) Inequalities for trigonometric functions and polynomials (26D05)

Related Items (2)

Mean-field theory is exact for Ising spin glass models with Kac potential in non-additive limit on Nishimori line ⋮ Some inequalities for the coefficients in generalized Fourier expansions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• An introduction to copulas.
• A new look at Popoviciu's concept of convexity for functions of two variables
• Generalized convex inequalities
• Mixed Partial Derivatives and Fubini's Theorem
• The Abel-Steffensen inequality in higher dimensions
• Convex functions and their applications. A contemporary approach

This page was built for publication: Convex functions and Fourier coefficients