Wilker and Huygens type inequalities for mixed trigonometric-hyperbolic functions

DOI10.32513/tmj/19322008134zbMath1496.26015arXiv2009.10527OpenAlexW3200461734MaRDI QIDQ2143753

Yogesh J. Bagul, Ramkrishna M. Dhaigude, Vinay M. Raut, Barkat Ali Bhayo

Publication date: 31 May 2022

Published in: Tbilisi Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.10527

zbMATH Keywords

Wilker-type inequalitytrigonometric-hyperbolic functionsHuygens-type inequality

Mathematics Subject Classification ID

Inequalities for trigonometric functions and polynomials (26D05) Elementary functions (26A09) Exponential and trigonometric functions (33B10)

Cites Work

• Wilker-type inequalities for hyperbolic functions
• On Jordan type inequalities for hyperbolic functions
• A subtly analysis of Wilker inequality
• New inequalities of Wilker's type for circular functions
• Refinements of certain hyperbolic inequalities via the Padé approximation method
• A method for proving some inequalities on mixed trigonometric polynomial functions
• On Jordan's, Redheffer's and Wilker's inequality
• On Wilker and Huygens type inequalities
• On some inequalities involving trigonometric and hyperbolic functions with emphasis on the Cusa-Huygens, Wilker, and Huygens inequalities
• On new proofs of Wilker's inequalities involving trigonometric functions
• Sharp Wilker and Huygens type inequalities for trigonometric and inverse trigonometric functions
• Sharpening and generalizations of Shafer-Fink and Wilker type inequalities: a new approach
• A method for proving some inequalities on mixed hyperbolic-trigonometric polynomial functions
• A weighted and exponential generalization of Wilker's inequality and its applications
• On Wilker-type inequalities
• Inequalities for the generalized trigonometric and hyperbolic functions
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