A note on the main theorem for absolutely monotonic functions

Abstract

We prove that the main theorem for absolutely monotonic functions from the book Mitrinović~D.S., Pečarić~J.E., Fink~A.M. "Classical And New Inequalities In Analysis", Kluwer Academic Publishers, 1993, is not valid without additional restrictions.

4 pages

References in corpus (2)

• Generalized Stieltjes transforms: basic aspects
• Stieltjes, Poisson and other integral representations for functions of Lambert $W$

Cited by in corpus (1)

• Generalized Volterra functions, its integral representations and applications to the Mathieu--type series