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 journalArticlepeer-review

    8 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 languageEnglish
    Article number20-64
    Pages (from-to)1003-1016
    Number of pages14
    JournalMathematical Inequalities and Applications
    Volume20
    Issue number4
    DOIs
    Publication statusPublished - Oct 2017

    Keywords

    • Bernoulli numbers
    • Euler numbers
    • Trigonometric function
    • Hyperbolic function
    • Inequalities

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