Series representations of the remainders in the expansions for certain trigonometric functions and some related inequalities, I

Chao-Ping Chen; Richard B. Paris

doi:10.7153/mia-2017-20-64

Series representations of the remainders in the expansions for certain trigonometric functions and some related inequalities, I

Chao-Ping Chen^*, Richard B. Paris

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

11 Citations (Scopus)

Abstract

We present series representations of the remainders in the expansions for certain trigonometric and hyperbolic functions. From these results, we establish some inequalities for trigonometric and hyperbolic functions.

Original language	English
Article number	20-64
Pages (from-to)	1003-1016
Number of pages	14
Journal	Mathematical Inequalities and Applications
Volume	20
Issue number	4
DOIs	https://doi.org/10.7153/mia-2017-20-64
Publication status	Published - Oct 2017

Keywords

Bernoulli numbers
Euler numbers
Trigonometric function
Hyperbolic function
Inequalities

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title = "Series representations of the remainders in the expansions for certain trigonometric functions and some related inequalities, I",

abstract = "We present series representations of the remainders in the expansions for certain trigonometric and hyperbolic functions. From these results, we establish some inequalities for trigonometric and hyperbolic functions.",

author = "Chao-Ping Chen and Paris, \{Richard B.\}",

year = "2017",

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AU - Paris, Richard B.

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N2 - We present series representations of the remainders in the expansions for certain trigonometric and hyperbolic functions. From these results, we establish some inequalities for trigonometric and hyperbolic functions.

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DO - 10.7153/mia-2017-20-64

M3 - Article

SN - 1331-4343

VL - 20

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EP - 1016

JO - Mathematical Inequalities and Applications

JF - Mathematical Inequalities and Applications

IS - 4

M1 - 20-64

ER -

Series representations of the remainders in the expansions for certain trigonometric functions and some related inequalities, I

Abstract

Keywords

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