Some new parameterized Newton-type inequalities for differentiable functions via fractional integrals

Autor:	Muhammad Aamir Ali, Christopher S. Goodrich, Hüseyin Budak
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	Simpson’s 3 8 $\frac{3}{8}$ formula Fractional Calculus Convex Functions Mathematics QA1-939
Zdroj:	Journal of Inequalities and Applications, Vol 2023, Iss 1, Pp 1-17 (2023)
Druh dokumentu:	article
ISSN:	1029-242X
DOI:	10.1186/s13660-023-02953-x
Popis:	Abstract The main goal of the current study is to establish some new parameterized Newton-type inequalities for differentiable convex functions in the setting of fractional calculus. For this, first we prove a parameterized integral identity involving fractional integrals and then prove Newton-type inequalities for differentiable convex functions. It is also shown that the newly established parameterized inequalities are refinements of the already proved inequalities in the literature for different choices of parameters. Finally, we discuss a mathematical example along with a plot to show the validity of the newly established inequalities.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/d6879bbbcde940ad848f306512dd9a81 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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