Buch
A Generalization of Bohr-Mollerup's Theorem for Higher Order Convex Functions
Jean-Luc Marichal; Naïm Zenaïdi
42,79
EUR
Lieferzeit 12-13 Tage
Übersicht
Verlag | : | Springer International Publishing |
Buchreihe | : | Developments in Mathematics (Bd. 70) |
Sprache | : | Englisch |
Erschienen | : | 29. 05. 2022 |
Einband | : | Kartoniert |
Höhe | : | 235 mm |
Breite | : | 155 mm |
ISBN | : | 9783030950903 |
Sprache | : | Englisch |
Autorinformation
Jean-Luc Marichal is an Associate Professor of Mathematics at the University of Luxembourg. He completed his PhD in Mathematics in 1998 at the University of Liège (Belgium) and has published about 100 journal papers on aggregation function theory, functional equations, non-additive measures and integrals, conjoint measurement theory, cooperative game theory, and system reliability theory.Naïm Zenaïdi is a Senior Teaching and Outreach Assistant in the Department of Mathematics at the University of Liège (Belgium). He completed his PhD in Mathematics in 2013 at the University of Brussels (ULB, Belgium) in the field of differential geometry.
Inhaltsverzeichnis
Preface.- List of main symbols.- Table of contents.- Chapter 1. Introduction.- Chapter 2. Preliminaries.- Chapter 3. Uniqueness and existence results.- Chapter 4. Interpretations of the asymptotic conditions.- Chapter 5. Multiple log-gamma type functions.- Chapter 6. Asymptotic analysis.- Chapter 7. Derivatives of multiple log-gamma type functions.- Chapter 8. Further results.- Chapter 9. Summary of the main results.- Chapter 10. Applications to some standard special functions.- Chapter 11. Definining new log-gamma type functions.- Chapter 12. Further examples.- Chapter 13. Conclusion.- A. Higher order convexity properties.- B. On Krull-Webster's asymptotic condition.- C. On a question raised by Webster.- D. Asymptotic behaviors and bracketing.- E. Generalized Webster's inequality.- F. On the differentiability of sigma_g.- Bibliography.- Analogues of properties of the gamma function.- Index.