Some new bounds of Chebyshev and Grüss-type functionals on time scales

Some new bounds of Chebyshev and Grüss-type functionals on time scales

In this work, Korkine and Sonin's identities are defined on arbitrary time scales. These identities are utilized to establish the Chebyshev and Grüss-type inequalities on time scales. By applying these inequalities, we determine the bounds of the remainders in Montgomery identities that incorpo...

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Bibliographic Details
Main Authors: Ammara Nosheen, Khuram Ali Khan, Muhammad Kashif, Rostin Matendo Mabela
Format: Article
Language:English
Published: Taylor & Francis Group 2024-12-01
Series:Applied Mathematics in Science and Engineering
Subjects:
Time scales calculus
Montgomery identities
Taylor polynomial
39B62
39B05
26D15
Online Access:https://www.tandfonline.com/doi/10.1080/27690911.2024.2305662

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