Monotonicity and inequalities related to the generalized inverse Lemniscate functions View Full Text


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Article Info

DATE

2021-12-25

AUTHORS

Li Yin, Xiu Li Lin

ABSTRACT

In the paper, we mainly studied the monotonicity and inequalities for some functions related to the generalized inverse lemniscate and the generalized hyperbolic inverse lemniscate functions. At first, we presented a bound estimation of the generalized inverse lemniscate functions by using Lerch Phi function. Finally, some Shafer-Fink, Wilker and Huygens type inequalities for the generalized inverse lemniscate and the generalized hyperbolic inverse lemniscate functions were obtained. More... »

PAGES

52

References to SciGraph publications

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  • 2020-01-09. Shafer–Fink type inequalities for arc lemniscate functions in REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS, FÍSICAS Y NATURALES. SERIE A. MATEMÁTICAS
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  • 2020-01-30. Sharp Power Mean Inequalities for the Generalized Elliptic Integral of the First Kind in COMPUTATIONAL METHODS AND FUNCTION THEORY
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    http://scigraph.springernature.com/pub.10.1007/s13398-021-01194-1

    DOI

    http://dx.doi.org/10.1007/s13398-021-01194-1

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