On Fractional Newton Inequalities via Coordinated Convex Functions

Autor:	Pınar Kösem, Hasan Kara, Hüseyin Budak, Muhammad Aamir Ali, Kamsing Nonlaopon
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	Newton-type inequality fractional calculus co-ordinated convex functions bounded variation functions Riemann Stieltjes integrals Mathematics QA1-939
Zdroj:	Symmetry, Vol 14, Iss 8, p 1526 (2022)
Druh dokumentu:	article
ISSN:	2073-8994
DOI:	10.3390/sym14081526
Popis:	In this paper, firstly, we present an integral identity for functions of two variables via Riemann–Liouville fractional integrals. Then, a Newton-type inequality via partially differentiable coordinated convex mappings is derived by taking the absolute value of the obtained identity. Moreover, several inequalities are obtained with the aid of the Hölder and power mean inequality. In addition, we investigate some Newton-type inequalities utilizing mappings of two variables with bounded variation. Finally, we gave some mathematical examples and their graphical behavior to validate the obtained inequalities.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/991fa14a962943fca133cff8455b6e36 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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