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

Autor:	Ammara Nosheen, Khuram Ali Khan, Muhammad Kashif, Rostin Matendo Mabela
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	Time scales calculus Montgomery identities Taylor polynomial 39B62 39B05 26D15 Mathematics QA1-939 Engineering (General). Civil engineering (General) TA1-2040
Zdroj:	Applied Mathematics in Science and Engineering, Vol 32, Iss 1 (2024)
Druh dokumentu:	article
ISSN:	27690911 2769-0911
DOI:	10.1080/27690911.2024.2305662
Popis:	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 incorporate Taylor's formula on time scales. Moreover, we derive discrete and quantum inequalities based on these results.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/21ccfbe39ac04f678bbd4c33ce227f86 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF