Generalized convexity of the inverse hyperbolic cosine function

He, Yue; Wang, Gendi

doi:10.18514/mmn.2018.2626

MMN

2018

DOI: 10.18514/mmn.2018.2626

|View full text |Cite

Generalized convexity of the inverse hyperbolic cosine function

Yue He¹,

Gendi Wang²

Abstract: The generalized convexity of the inverse hyperbolic cosine function related to the hyperbolic metric is investigated in this paper.

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2020

Publication Types

Select...

Article1

Relationship

Self Cite1

Independent0

Authors

Journals

Cited by 1 publication

References 15 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

Shafer–Fink type inequalities for arc lemniscate functions

Wei

Wang

2020

RACSAM

Self Cite

View full text Add to dashboard Cite

In this paper, we investigate the monotonicity and inequalities for some functions involving the arc lemniscate and the hyperbolic arc lemniscate functions. In particular, sharp Shafer-Fink type inequalities for the arc lemniscate and the hyperbolic arc lemniscate functions are proved.Keywords. arc lemniscate functions, hyperbolic arc lemniscate functions, lemniscate functions, hyperbolic lemniscate functions, Shafer-Fink type inequalities Mathematics Subject Classification (2010). 26D07, 33E05

show abstract

Shafer–Fink type inequalities for arc lemniscate functions

Wei

Wang

2020

RACSAM

Self Cite

View full text Add to dashboard Cite

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

customersupport@researchsolutions.com

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

Generalized convexity of the inverse hyperbolic cosine function

Abstract: The generalized convexity of the inverse hyperbolic cosine function related to the hyperbolic metric is investigated in this paper.

Cited by 1 publication

References 15 publications

Shafer–Fink type inequalities for arc lemniscate functions

Shafer–Fink type inequalities for arc lemniscate functions

Contact Info

Product

Resources

About