IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v9y2021i19p2373-d642313.html
   My bibliography  Save this article

New Bounds for the Sine Function and Tangent Function

Author

Listed:
  • Ling Zhu

    (Department of Mathematics, Zhejiang Gongshang University, Hangzhou 310018, China)

Abstract

Using the power series expansion technique, this paper established two new inequalities for the sine function and tangent function bounded by the functions x 2 sin ( λ x ) / ( λ x ) α and x 2 tan ( μ x ) / ( μ x ) β . These results are better than the ones in the previous literature.

Suggested Citation

  • Ling Zhu, 2021. "New Bounds for the Sine Function and Tangent Function," Mathematics, MDPI, vol. 9(19), pages 1-12, September.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:19:p:2373-:d:642313
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/9/19/2373/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/9/19/2373/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Nenezić, Marija & Malešević, Branko & Mortici, Cristinel, 2016. "New approximations of some expressions involving trigonometric functions," Applied Mathematics and Computation, Elsevier, vol. 283(C), pages 299-315.
    2. Ling Zhu, 2009. "Some New Wilker-Type Inequalities for Circular and Hyperbolic Functions," Abstract and Applied Analysis, Hindawi, vol. 2009, pages 1-9, July.
    3. Ling Zhu, 2021. "New Inequalities of Cusa–Huygens Type," Mathematics, MDPI, vol. 9(17), pages 1-13, August.
    4. Yu-Ming Chu & Miao-Kun Wang & Zi-Kui Wang, 2011. "A Sharp Double Inequality between Harmonic and Identric Means," Abstract and Applied Analysis, Hindawi, vol. 2011, pages 1-7, October.
    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. Ling Zhu, 2021. "High Precision Wilker-Type Inequality of Fractional Powers," Mathematics, MDPI, vol. 9(13), pages 1-24, June.
    2. Xuexiao You & Muhammad Adil Khan & Hidayat Ullah & Tareq Saeed, 2022. "Improvements of Slater’s Inequality by Means of 4-Convexity and Its Applications," Mathematics, MDPI, vol. 10(8), pages 1-19, April.
    3. Hidayat Ullah & Muhammad Adil Khan & Tareq Saeed, 2021. "Determination of Bounds for the Jensen Gap and Its Applications," Mathematics, MDPI, vol. 9(23), pages 1-29, December.
    4. Ling Zhu, 2021. "New Inequalities of Cusa–Huygens Type," Mathematics, MDPI, vol. 9(17), pages 1-13, August.
    5. Edward Neuman, 2014. "On the Inequalities for the Generalized Trigonometric Functions," International Journal of Analysis, Hindawi, vol. 2014, pages 1-5, April.
    6. Tareq Saeed & Muhammad Bilal Khan & Savin Treanță & Hamed H. Alsulami & Mohammed Sh. Alhodaly, 2023. "Study of Log Convex Mappings in Fuzzy Aunnam Calculus via Fuzzy Inclusion Relation over Fuzzy-Number Space," Mathematics, MDPI, vol. 11(9), pages 1-16, April.

    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:9:y:2021:i:19:p:2373-:d:642313. 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.