Accurate estimates of (1+x)^{1/x} Involved in Carleman Inequality and Keller Limit

Autor: Malesevic, Branko, Hu, Yue, Mortici, Cristinel
Rok vydání: 2018
Předmět:
Zdroj: Filomat Vol 32:13 (2018)
Druh dokumentu: Working Paper
Popis: In this paper, using the Maclaurin series of the functions $(1+x)^{1/x}$, some inequalities from papers Bicheng Debnath [1998] and Mortici Jang [2015] are generalized. For arbitrary Maclaurin series some general limits of Keller's type are defined and applying for generalization of some well known results.
Comment: Accepted in FILOMAT
Databáze: arXiv