\(m\)-convex functions of higher order

DOI10.2478/AMSIL-2019-0013zbMath1462.26008OpenAlexW3020594817MaRDI QIDQ2024145

Edgar Rosales, Nelson Merentes, Teodoro Lara

Publication date: 3 May 2021

Published in: Annales Mathematicae Silesianae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/amsil-2019-0013

zbMATH Keywords

\(m\)-convex functionspositively homogeneous function\(m\) difference operator\(m\)-convex functions of higher order\(m\)-divided difference

Mathematics Subject Classification ID

Functional inequalities, including subadditivity, convexity, etc. (39B62) Convexity of real functions in one variable, generalizations (26A51) Monotonic functions, generalizations (26A48)

Cites Work

• On a generalization of the class of Jensen convex functions
• On the classes of higher-order Jensen-convex functions and Wright-convex functions
• On convex functions of higher order
• Convex functions of higher orders in Euclidean spaces
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