Sharp Shafer-Fink type inequalities for Gauss lemniscate functions

Author:

Deng Ji-En,Chen Chao-Ping

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Reference42 articles.

1. Borwein JM, Borwein PB: Pi and the AGM: A Study in the Analytic Number Theory and Computational Complexity. Wiley, New York; 1987.

2. Carlson BC: Algorithms involving arithmetic and geometric means. Am. Math. Mon. 1971, 78: 496-505. 10.2307/2317754

3. Neuman E: On Gauss lemniscate functions and lemniscatic mean. Math. Pannon. 2007, 18: 77-94.

4. Neuman E: Two-sided inequalities for the lemniscate functions. J. Inequal. Spec. Funct. 2010, 1: 1-7.

5. Neuman E: On Gauss lemniscate functions and lemniscatic mean II. Math. Pannon. 2012, 23: 65-73.

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