VARIATIONAL METHODS FOR THE TOTALLY MONOTONIC FUNCTIONS AND APPLICATIONS

Authors

  • Pavel Todorov

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.

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Published

2002-12-12

How to Cite

Todorov, P. (2002). VARIATIONAL METHODS FOR THE TOTALLY MONOTONIC FUNCTIONS AND APPLICATIONS. Ann. Sofia Univ. Fac. Math. And Inf., 94, 35–47. Retrieved from https://annual.uni-sofia.bg/index.php/fmi/article/view/188

Issue

Vol. 94 (2002): Ann. Sofia Univ. Fac. Math and Inf.

Section

Articles