Title | VARIATIONAL METHODS FOR THE TOTALLY MONOTONIC FUNCTIONS AND APPLICATIONS |
Publication Type | Journal Article |
Year of Publication | 2002 |
Authors | Todorov P |
Journal | Annuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique |
Volume | 94 |
Pagination | 35-47 |
ISSN | 0205-0808 |
Keywords | maximum 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 |
Attachment | Size |
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94-035-047.pdf | 1.03 MB |