Conformable fractional Newton-type inequalities with respect to differentiable convex functions

Autor:	Cihan Ünal, Fatih Hezenci, Hüseyin Budak
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	Newton formula Fractional calculus Conformable fractional integrals Mathematics QA1-939
Zdroj:	Journal of Inequalities and Applications, Vol 2023, Iss 1, Pp 1-19 (2023)
Druh dokumentu:	article
ISSN:	1029-242X
DOI:	10.1186/s13660-023-02996-0
Popis:	Abstract The authors propose a new method of investigation of an integral identity according to conformable fractional operators. Moreover, some Newton-type inequalities are considered for differentiable convex functions by taking the modulus of the newly established equality. In addition, we prove several Newton-type inequalities with the aid of Hölder and power-mean inequalities. Furthermore, several new results are given by using special choices of the obtained inequalities. Finally, we give several inequalities of conformable fractional Newton-type for functions of bounded variation.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/6b6edd425e4b4571b9d2a89d1ab5554c Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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