IDEAS home Printed from https://ideas.repec.org/a/wly/jnlaaa/v2013y2013i1n901824.html

A New Reversed Version of a Generalized Sharp Hölder′s Inequality and Its Applications

Author

Listed:
  • Jingfeng Tian
  • Xi-Mei Hu

Abstract

We present a new reversed version of a generalized sharp Hölder′s inequality which is due to Wu and then give a new refinement of Hölder′s inequality. Moreover, the obtained result is used to improve the well‐known Popoviciu‐Vasić inequality. Finally, we establish the time scales version of Beckenbach‐type inequality.

Suggested Citation

  • Jingfeng Tian & Xi-Mei Hu, 2013. "A New Reversed Version of a Generalized Sharp Hölder′s Inequality and Its Applications," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:901824
    DOI: 10.1155/2013/901824
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2013/901824
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2013/901824?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. Jadranka Mićić & Zlatko Pavić & Josip Pečarić, 2011. "Extension of Jensen′s Inequality for Operators without Operator Convexity," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).
    2. Matloob Anwar & Rabia Bibi & Martin Bohner & Josip Pečarić, 2011. "Integral Inequalities on Time Scales via the Theory of Isotonic Linear Functionals," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).
    3. Matloob Anwar & Rabia Bibi & Martin Bohner & Josip Pečarić, 2011. "Integral Inequalities on Time Scales via the Theory of Isotonic Linear Functionals," Abstract and Applied Analysis, Hindawi, vol. 2011, pages 1-16, July.
    4. Jadranka Mićić & Zlatko Pavić & Josip Pečarić, 2011. "Extension of Jensen's Inequality for Operators without Operator Convexity," Abstract and Applied Analysis, Hindawi, vol. 2011, pages 1-14, June.
    5. Xiaofei He & Qi-Ming Zhang, 2011. "Lyapunov‐Type Inequalities for Some Quasilinear Dynamic System Involving the (p1, p2, …, pm)‐Laplacian on Time Scales," Journal of Applied Mathematics, John Wiley & Sons, vol. 2011(1).
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Jingfeng Tian & Wen-Li Wang & Donal O’Regan, 2014. "Refinements of Generalized Hölder’s Inequalities," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    2. Jingfeng Tian & Yang-Xiu Zhou, 2013. "Refinements of Hardy‐Type Inequalities," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    3. Ahifar, Pouria & Agahi, Hamzeh & Khademloo, Somayeh, 2026. "Generalized Hölder’s inequality for fractional integrals with application in financial risk management," Applied Mathematics and Computation, Elsevier, vol. 515(C).

    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. Jadranka Mićić & Zlatko Pavić & Josip Pečarić, 2012. "The Inequalities for Quasiarithmetic Means," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    2. Zhong-Xuan Mao & Ya-Ru Zhu & Bao-Hua Guo & Fu-Hai Wang & Yu-Hua Yang & Hai-Qing Zhao, 2021. "Qi Type Diamond-Alpha Integral Inequalities," Mathematics, MDPI, vol. 9(4), pages 1-24, February.
    3. Matloob Anwar & Rabia Bibi & Martin Bohner & Josip Pečarić, 2014. "Jensen Functionals on Time Scales for Several Variables," International Journal of Analysis, Hindawi, vol. 2014, pages 1-14, April.
    4. Rabia Bibi & Muhammad Shahzad, 2015. "Refinements and Generalizations of Functional Dresher’s and Bellman’s Inequalities," Abstract and Applied Analysis, John Wiley & Sons, vol. 2015(1).
    5. Dong Chen & Dina Abuzaid & Atiq Ur Rehman & Aqsa Rani, 2022. "Giaccardi Inequality for s‐Convex Functions in the Second Sense for Isotonic Linear Functionals and Associated Results," Journal of Mathematics, John Wiley & Sons, vol. 2022(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:2013:y:2013:i:1:n:901824. 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.