A note on the main theorem for absolutely monotonic functions

2012/02/06 by С. М. Ситник, Sitnik, S. M.
Mathematics · #26A48 (Primary) #26D10 (Secondary) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Equations Stability Results #Mathematical Inequalities and Applications #Mathematical functions and polynomials

paper · pdf · doi:10.48550/arxiv.1202.1210

openalex publication_date 2012/02/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Stieltjes, Poisson and other integral representations for functions of Lambert W

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