Generalized bounds for sine and cosine functions

DOI10.1142/S1793557122500127zbMath1497.26014OpenAlexW3127237759MaRDI QIDQ5064352

Christophe Chesneau, Yogesh J. Bagul

Publication date: 15 March 2022

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557122500127

zbMATH Keywords

trigonometric functionsBernoulli numbersgeneralized boundsl'Hôpital's rule of monotonicity

Mathematics Subject Classification ID

Inequalities for trigonometric functions and polynomials (26D05) Other analytical inequalities (26D20) Inequalities involving other types of functions (26D07) Exponential and trigonometric functions (33B10)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On certain old and new trigonometric and hyperbolic inequalities
• On Jordan type inequalities for hyperbolic functions
• Monotonicity theorems and inequalities for the complete elliptic integrals
• Six new Redheffer-type inequalities for circular and hyperbolic functions
• Refinements, generalizations, and applications of Jordan's inequality and related problems
• A double inequality for the ratio of two non-zero neighbouring Bernoulli numbers
• On the Cusa-Huygens inequality
• Generalized elliptic integrals
• Double-Sided Taylor’s Approximations and Their Applications in Theory of Trigonometric Inequalities
• New trigonometric and hyperbolic inequalities
• Some New Simple Inequalities Involving Exponential, Trigonometric and Hyperbolic Functions
• Sharp bounds on the sinc function via the Fourier series method

This page was built for publication: Generalized bounds for sine and cosine functions