IDEAS home Printed from https://ideas.repec.org/a/wly/jnlaaa/v2015y2015i1n172867.html

Sharp Power Mean Bounds for Sándor Mean

Author

Listed:
  • Yu-Ming Chu
  • Zhen-Hang Yang
  • Li-Min Wu

Abstract

We prove that the double inequality Mp(a, b) 0 with a ≠ b if and only if p ≤ 1/3 and q ≥ log 2/(1 + log 2) = 0.4093…, where X(a, b) and Mr(a, b) are the Sándor and rth power means of a and b, respectively.

Suggested Citation

  • Yu-Ming Chu & Zhen-Hang Yang & Li-Min Wu, 2015. "Sharp Power Mean Bounds for Sándor Mean," Abstract and Applied Analysis, John Wiley & Sons, vol. 2015(1).
    • Handle: RePEc:wly:jnlaaa:v:2015:y:2015:i:1:n:172867
    DOI: 10.1155/2015/172867
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2015/172867
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2015/172867?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Yu-Ming Chu & Bo-Yong Long, 2013. "Bounds of the Neuman‐Sándor Mean Using Power and Identric Means," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    2. Yu-Ming Chu & Bo-Yong Long, 2013. "Bounds of the Neuman-Sándor Mean Using Power and Identric Means," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-6, February.
    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. Yu-Ming Chu & Wei-Mao Qian, 2014. "Refinements of Bounds for Neuman Means," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    2. Tie-Hong Zhao & Yu-Ming Chu & Yun-Liang Jiang & Yong-Min Li, 2013. "Best Possible Bounds for Neuman‐Sándor Mean by the Identric, Quadratic and Contraharmonic Means," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    3. Zai-Yin He & Yu-Ming Chu & Miao-Kun Wang, 2013. "Optimal Bounds for Neuman Means in Terms of Harmonic and Contraharmonic Means," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).

    More about this item

    Statistics

    Access and download statistics

    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:wly:jnlaaa:v:2015:y:2015:i:1:n:172867. 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: Wiley Content Delivery (email available below). General contact details of provider: https://onlinelibrary.wiley.com/journal/4058 .

    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.