IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-3-319-18275-9_18.html

Quantum Analogues of Hermite–Hadamard Type Inequalities for Generalized Convexity

In: Computation, Cryptography, and Network Security

Author

Listed:
  • Muhammad Aslam Noor

    (COMSATS Institute of Information Technology)

  • Khalida Inayat Noor

    (COMSATS Institute of Information Technology)

  • Muhammad Uzair Awan

    (COMSATS Institute of Information Technology)

Abstract

In this chapter, we discuss quantum calculus and generalized convexity. We briefly discuss some basic concepts and results regarding quantum calculus. Some quantum analogues of derivatives and integrals on finite intervals are discussed. After this we move towards generalized convexity. Examples are given to illustrate the importance and significance of generalized convex sets and generalized convex functions. We establish some quantum Hermite–Hadamard inequalities for generalized convexity. Results proved in this paper may stimulate further research activities.

Suggested Citation

  • Muhammad Aslam Noor & Khalida Inayat Noor & Muhammad Uzair Awan, 2015. "Quantum Analogues of Hermite–Hadamard Type Inequalities for Generalized Convexity," Springer Books, in: Nicholas J. Daras & Michael Th. Rassias (ed.), Computation, Cryptography, and Network Security, pages 413-439, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-18275-9_18
    DOI: 10.1007/978-3-319-18275-9_18
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;
    ;

    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:spr:sprchp:978-3-319-18275-9_18. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.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.