IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v6y2018i12p326-d190466.html
   My bibliography  Save this article

A Parameter-Based Ostrowski–Grüss Type Inequalities with Multiple Points for Derivatives Bounded by Functions on Time Scales

Author

Listed:
  • Seth Kermausuor

    (Department of Mathematics and Computer Science, Alabama State University, Montgomery, AL 36101, USA)

  • Eze R. Nwaeze

    (Department of Mathematics, Tuskegee University, Tuskegee, AL 36088, USA)

Abstract

In this paper, we present some Ostrowski–Grüss-type inequalities on time scales for functions whose derivatives are bounded by functions for k points via a parameter. The 2D versions of these inequalities are also presented. Our results generalize some of the results in the literature. As a by-product, we apply our results to the continuous and discrete calculus to obtain some interesting inequalities in this direction.

Suggested Citation

  • Seth Kermausuor & Eze R. Nwaeze, 2018. "A Parameter-Based Ostrowski–Grüss Type Inequalities with Multiple Points for Derivatives Bounded by Functions on Time Scales," Mathematics, MDPI, vol. 6(12), pages 1-15, December.
    • Handle: RePEc:gam:jmathe:v:6:y:2018:i:12:p:326-:d:190466
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/6/12/326/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/6/12/326/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Liu, Wenjun & Tuna, Adnan, 2015. "Diamond-α weighted Ostrowski type and Grüss type inequalities on time scales," Applied Mathematics and Computation, Elsevier, vol. 270(C), pages 251-260.
    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. Mohammad W. Alomari & Christophe Chesneau & Víctor Leiva, 2022. "Grüss-Type Inequalities for Vector-Valued Functions," Mathematics, MDPI, vol. 10(9), pages 1-14, May.
    2. Mohammad W. Alomari & Christophe Chesneau & Víctor Leiva & Carlos Martin-Barreiro, 2022. "Improvement of Some Hayashi–Ostrowski Type Inequalities with Applications in a Probability Setting," Mathematics, MDPI, vol. 10(13), pages 1-15, July.

    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. Zhong-Xuan Mao & Ya-Ru Zhu & Jun-Ping Hou & Chun-Ping Ma & Shi-Pu Liu, 2021. "Multiple Diamond-Alpha Integral in General Form and Their Properties, Applications," Mathematics, MDPI, vol. 9(10), pages 1-20, May.

    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:gam:jmathe:v:6:y:2018:i:12:p:326-:d:190466. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.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.