Generalized Gudermannian function

Wilker and Huygens-type inequalities involving generalized Gudermannian function and its inverse function are established. These results are obtained with the aid of the p-version of the Schwab-Borchardt mean. Generalized one-parameter trigonometric and hyperbolic functions play a crucial role in th...

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Bibliographic Details
Published in:	Issues of analysis Vol. 25; no. 1; pp. 70 - 86
Main Author:	Neuman, Edward
Format:	Journal Article
Language:	English
Published:	Petrozavodsk State University 01.01.2018
Subjects:	Gauss hypergeometric function Generalized Gudermannian function and its inverse function generalized trigonometric and generalized hyperbolic functions inequalities p-version of the Schwab – Borchardt mean
ISSN:	2306-3432, 2306-3424, 2306-3432
Online Access:	Get full text
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Summary:	Wilker and Huygens-type inequalities involving generalized Gudermannian function and its inverse function are established. These results are obtained with the aid of the p-version of the Schwab-Borchardt mean. Generalized one-parameter trigonometric and hyperbolic functions play a crucial role in this paper.
ISSN:	2306-3432 2306-3424 2306-3432
DOI:	10.15393/j3.art.2018.4310