Shafer–Fink type inequalities for arc lemniscate functions

Author:

Wei Minjie,He Yue,Wang Gendi

Funder

National Natural Science Foundation of China

Science Foundation of Zhejiang Sci-Tech University

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics,Geometry and Topology,Algebra and Number Theory,Analysis

Reference37 articles.

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2. Anderson, G.D., Vamanamurthy, M.K., Vuorinen, M.: Monotonicity rules in calculus. Am. Math. Mon. 133, 805–816 (2006)

3. Anderson, G.D., Vuorinen, M., Zhang, X.: Topics on special functions III. In: Milovanovic, G., Rassias, M.T.H. (eds.) Analytic Number Theory, Approximation Theory and Special Functions, pp. 39–85. Springer, Berlin (2014)

4. Andrews, G.E., Askey, R., Roy, R.: Special Functions. Cambridge University Press, Cambridge (2000)

5. Bhayo, B.A., Vuorinen, M.: On generalized trigonometric functions with two parameters. J. Approx. Theory 164, 1415–1426 (2012)

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1. Sharp double-exponent type bounds for the lemniscate sine function;Applicable Analysis and Discrete Mathematics;2024

2. Sharp exponential type inequalities for the arc lemniscate sine function with applications;Journal of Mathematical Inequalities;2023

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5. Monotonicity and inequalities related to the generalized inverse Lemniscate functions;Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas;2021-12-25

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