IDEAS home Printed from https://ideas.repec.org/h/spr/spochp/978-3-030-72563-1_14.html
   My bibliography  Save this book chapter

Higher Order Strongly m-convex Functions

In: Nonlinear Analysis, Differential Equations, and Applications

Author

Listed:
  • Muhammad Aslam Noor

    (COMSATS University Islamabad)

  • Khalida Inayat Noor

    (COMSATS University Islamabad)

Abstract

Some new concepts of the m-convex functions, where m ∈ (0, 1] are introduced and studied. Basic properties of m-convex functions are discussed. New modified Regula Falsi methods are suggested for solving nonlinear equations. Characterizations of the higher order strongly m-convex functions are investigated under suitable conditions. It is shown that the parallelogram laws for Banach spaces can be obtained as applications of higher order strongly m-convex functions. Results obtained in this paper can be viewed as refinement and significant improvement of previously known results.

Suggested Citation

  • Muhammad Aslam Noor & Khalida Inayat Noor, 2021. "Higher Order Strongly m-convex Functions," Springer Optimization and Its Applications, in: Themistocles M. Rassias (ed.), Nonlinear Analysis, Differential Equations, and Applications, pages 319-339, Springer.
    • Handle: RePEc:spr:spochp:978-3-030-72563-1_14
    DOI: 10.1007/978-3-030-72563-1_14
    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 search for a similarly titled item that would be available.

    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:spr:spochp:978-3-030-72563-1_14. 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.