A sharp lower bound for the complete elliptic integrals of the first kind
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Publication:2211161
DOI10.1007/s13398-020-00949-6zbMath1455.33014OpenAlexW3094578574MaRDI QIDQ2211161
Zhen-Hang Yang, Ya-Ru Zhu, Jing-Feng Tian
Publication date: 12 November 2020
Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/pdf/0902.2515v1.pdf
inequalitylogarithmic meanarithmetic-geometric meaninverse hyperbolic tangent functioncomplete elliptic integrals of the first kindNP type power series
Padé approximation (41A21) Means (26E60) Elliptic functions and integrals (33E05) Convergence and divergence of infinite limiting processes (40A99)
Related Items (7)
Several absolutely monotonic functions related to the complete elliptic integral of the first kind ⋮ Approximations for the complete elliptic integral of the second Kind ⋮ A simple rational approximation to the generalized elliptic integral of the first kind ⋮ Sharp bounds for the lemniscatic mean by the weighted Hölder mean ⋮ A new upper bound for the complete elliptic integral of the first kind ⋮ A best possible upper bound for the complete elliptic integral of the first kind ⋮ Sharp bounds for the Toader mean in terms of arithmetic and geometric means
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