VARIATIONAL METHODS FOR THE TOTALLY MONOTONIC FUNCTIONS AND APPLICATIONS

ЗаглавиеVARIATIONAL METHODS FOR THE TOTALLY MONOTONIC FUNCTIONS AND APPLICATIONS
Вид публикацияJournal Article
Година на публикуване2002
АвториTodorov P
СписаниеAnnuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique
Том94
Pagination35-47
ISSN0205-0808
ключови думиmaximum and minimum of the coefficients of the inverse functions of totally monotonic functions, totally monotonic functions, variational methods
Резюме

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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