IDEAS home Printed from https://ideas.repec.org/a/plo/pone00/0291349.html
   My bibliography  Save this article

Ostrowski and Čebyšev type inequalities for interval-valued functions and applications

Author

Listed:
  • Jing Guo
  • Xianjun Zhu
  • Wenfeng Li
  • Hui Li

Abstract

As an essential part of classical analysis, Ostrowski and Čebyšev type inequalities have recently attracted considerable attention. Due to its universality, the non-additive integral inequality takes several forms, including Sugeno integrals, Choquet integrals, and pseudo-integrals. Set-valued analysis, a well-known generalization of classical analysis, is frequently employed in studying mathematical economics, control theory, etc. Inspired by pioneering work on interval-valued inequalities, this paper establishes specific Ostrowski and Čebyšev type inequalities for interval-valued functions. Moreover, the error estimation to quadrature rules is presented as some applications for illustrating our results. In addition, illustrative examples are offered to demonstrate the applicability of the mathematical methods presented.

Suggested Citation

  • Jing Guo & Xianjun Zhu & Wenfeng Li & Hui Li, 2023. "Ostrowski and Čebyšev type inequalities for interval-valued functions and applications," PLOS ONE, Public Library of Science, vol. 18(9), pages 1-21, September.
    • Handle: RePEc:plo:pone00:0291349
    DOI: 10.1371/journal.pone.0291349
    as

    Download full text from publisher

    File URL: https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0291349
    Download Restriction: no
    File URL: https://journals.plos.org/plosone/article/file?id=10.1371/journal.pone.0291349&type=printable
    Download Restriction: no
    File URL: https://libkey.io/10.1371/journal.pone.0291349?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. Saad Ihsan Butt & Ammara Nosheen & Jamshed Nasir & Khuram Ali Khan & Rostin Matendo Mabela & Muhammad Irfan, 2022. "New Fractional Mercer–Ostrowski Type Inequalities with Respect to Monotone Function," Mathematical Problems in Engineering, Hindawi, vol. 2022, pages 1-14, May.
    2. Dafang Zhao & Guohui Zhao & Guoju Ye & Wei Liu & Silvestru Sever Dragomir, 2021. "On Hermite–Hadamard-Type Inequalities for Coordinated h -Convex Interval-Valued Functions," Mathematics, MDPI, vol. 9(19), pages 1-14, September.
    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. Muhammad Bilal Khan & Ali Althobaiti & Cheng-Chi Lee & Mohamed S. Soliman & Chun-Ta Li, 2023. "Some New Properties of Convex Fuzzy-Number-Valued Mappings on Coordinates Using Up and Down Fuzzy Relations and Related Inequalities," Mathematics, MDPI, vol. 11(13), pages 1-23, June.

    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:plo:pone00:0291349. 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: plosone (email available below). General contact details of provider: https://journals.plos.org/plosone/ .

    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.