The Natural Approaches of Shafer-Fink Inequality for Inverse Sine Function-Reference-Cited by-同舟云学术

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The Natural Approaches of Shafer-Fink Inequality for Inverse Sine Function

Published:2022-02-19 Issue:4 Volume:10 Page:647
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Zhu Ling

Abstract

In this paper, we obtain some new natural approaches of Shafer-Fink inequality for arc sine function and the square of arc sine function by using the power series expansions of certain functions, which generalize and strengthen those in the existing literature.

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/10/4/647/pdf

Reference23 articles.

1. Two inequalities;Fink;Publ. Elektroteh. Fak. Univ. Beogr. Mat.,1995

2. Analytic Inequalities;Mitrinovic,1970

3. An application of λ-method on Shafer-Fink’s inequality;Maleševic;Publ. Elektroteh. Fak. Univ. Beogr. Mat.,1997

4. On Shafer-Fink Inequalities

5. On Shafer-Fink-Type Inequality

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1. Radial Based Approximations for Arcsine, Arccosine, Arctangent and Applications;AppliedMath;2023-04-04

2. Bounds for Quotients of Inverse Trigonometric and Inverse Hyperbolic Functions;Axioms;2022-05-30

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