VARIATIONAL METHODS FOR THE TOTALLY MONOTONIC FUNCTIONS AND APPLICATIONS

TitleVARIATIONAL METHODS FOR THE TOTALLY MONOTONIC FUNCTIONS AND APPLICATIONS
Publication TypeJournal Article
Year of Publication2002
AuthorsTodorov P
JournalAnnuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique
Volume94
Pagination35-47
ISSN0205-0808
Keywordsmaximum and minimum of the coefficients of the inverse functions of totally monotonic functions, totally monotonic functions, variational methods
Abstract

We derive new variational methods and formulas for the totally monotonic functions and apply them for finding the sharp estimates for the coefficients of the inverse functions of the examined ones. Two conjectures for these coefficients are stated.

2000 MSC

Primary 30C45, 30C50; Secondary 12D10, 26C10, 30B10

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