Padé approximant related to inequalities involving the constant e and a generalized Carleman-type inequality

Author:

Chen Chao-Ping,Zhang Hui-Jie

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Reference34 articles.

1. Carleman, T: Sur les fonctions quasi-analytiques. In: Comptes rendus du V e Congres des Mathematiciens Scandinaves. Helsingfors, pp. 181-196 (1922)

2. Hardy, GH: Notes on some points in the integral calculus. Messenger Math. 54, 150-156 (1925)

3. Hardy, GH, Littlewood, JE, Pólya, G: Inequalities, 2nd edn. Cambridge University Press, Cambridge (1952)

4. Čižmešija, A, Pečarić, J, Persson, LE: On strengthened Carleman’s inequality. Bull. Aust. Math. Soc. 68, 481-490 (2003)

5. Chen, HW: On an infinite series for ( 1 + 1 / x ) x $(1+1/x)^{x}$ and its application. Int. J. Math. Math. Sci. 29, 675-680 (2002)

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Sharp, double inequalities bounding the function (1+x)^(1/x) and a refinement of Carleman's inequality;Mathematical Inequalities & Applications;2023

2. A New Approximation of e;Proceedings of the 3rd International Conference on Vision, Image and Signal Processing;2019-08-26

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