Estimates of (1+x)1/x involved in Carleman’s inequality and Keller’s limit-Reference-Cited by-同舟云学术

Estimates of (1+x)1/x involved in Carleman’s inequality and Keller’s limit

Published:2015 Issue:7 Volume:29 Page:1535-1539
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Mortici Cristinel¹,Jang X.J.²

Affiliation:

1. Valahia University of Târgovişte, Târgovişte, Romania + Academy of Romanian Scientists, Bucharest, Romania

2. Tsinghua University, Department of Mathematics, Beijing, China

Abstract

The aim of this work is to extend the results obtained by Yang Bicheng and L. Debnath in [Some inequalities involving the constant e and an application to Carleman?s inequality, J. Math. Anal. Appl., 223 (1998), 347-353]. We present a simple proof of our new result which can be also used as a direct proof for Yang Bicheng and L. Debnath results. Finally some applications to generalized Keller?s limit and further directions are provided.

Publisher

National Library of Serbia

Subject

General Mathematics

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