IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v7y2019i8p746-d257939.html
   My bibliography  Save this article

New Polynomial Bounds for Jordan’s and Kober’s Inequalities Based on the Interpolation and Approximation Method

Author

Listed:
  • Lina Zhang

    (School of Computer Science and Technology, Henan Polytechnic University, Jiaozuo 454000, China)

  • Xuesi Ma

    (School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454000, China)

Abstract

In this paper, new refinements and improvements of Jordan’s and Kober’s inequalities are presented. We give new polynomial bounds for the s i n c ( x ) and cos ( x ) functions based on the interpolation and approximation method. The results show that our bounds are tighter than the previous methods.

Suggested Citation

  • Lina Zhang & Xuesi Ma, 2019. "New Polynomial Bounds for Jordan’s and Kober’s Inequalities Based on the Interpolation and Approximation Method," Mathematics, MDPI, vol. 7(8), pages 1-9, August.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:8:p:746-:d:257939
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/7/8/746/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/7/8/746/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Nishizawa, Yusuke, 2015. "Sharpening of Jordan’s type and Shafer–Fink’s type inequalities with exponential approximations," Applied Mathematics and Computation, Elsevier, vol. 269(C), pages 146-154.
    2. Alzer, Horst & Kwong, Man Kam, 2016. "Sharp upper and lower bounds for a sine polynomial," Applied Mathematics and Computation, Elsevier, vol. 275(C), pages 81-85.
    3. Lina Zhang & Xuesi Ma, 2018. "New Refinements and Improvements of Jordan’s Inequality," Mathematics, MDPI, vol. 6(12), pages 1-8, November.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Lina Zhang & Xuesi Ma, 2018. "New Refinements and Improvements of Jordan’s Inequality," Mathematics, MDPI, vol. 6(12), pages 1-8, November.
    2. Mohamed Jleli & Bessem Samet, 2023. "Integral Inequalities Involving Strictly Monotone Functions," Mathematics, MDPI, vol. 11(8), pages 1-14, April.
    3. Ling Zhu, 2022. "The Natural Approaches of Shafer-Fink Inequality for Inverse Sine Function," Mathematics, MDPI, vol. 10(4), pages 1-8, February.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:7:y:2019:i:8:p:746-:d:257939. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.