Hermite–Hadamard-type Inequalities for $$\hbar$$ ħ -preinvex Interval-Valued Functions via Fractional Integral

Autor:	Yun Tan, Dafang Zhao, Mehmet Zeki Sarikaya
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	$$\hbar$$ ħ -Preinvex functions Interval-valued functions Riemann–Liouville fractional integral Hermite–Hadamard inequalities Electronic computers. Computer science QA75.5-76.95
Zdroj:	International Journal of Computational Intelligence Systems, Vol 16, Iss 1, Pp 1-9 (2023)
Druh dokumentu:	article
ISSN:	1875-6883
DOI:	10.1007/s44196-023-00300-y
Popis:	Abstract We present a comprehensive study on Hermite–Hadamard-type inequalities for interval-valued functions that are $$\hbar$$ ħ -preinvex, using the Riemann–Liouville fractional integral. Our research extends and generalizes some existing results found in the literature. In addition, we provide accurate proofs for the main theorems originally derived by Srivastava et al. in their publication titled “Hermite–Hadamard Type Inequalities for Interval-Valued Preinvex Functions via Fractional Integral Operators" (Int. J. Comput. Int. Sys. 15(1):8, 2022). Finally, we illustrate our findings through a practical example to demonstrate the validity of our results.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/c372d872762742fbb40dc10cf7a21ef1 Zobrazit plný text záznamu Full text from SpringerLink View record in DOAJ