Hermite–Hadamard-type inequalities for interval-valued preinvex functions via Riemann–Liouville fractional integrals

• Published in: Journal of inequalities and applications Vol. 2021; no. 1; pp. 1 - 15
• Main Authors: Sharma, Nidhi, Singh, Sanjeev Kumar, Mishra, Shashi Kant, Hamdi, Abdelouahed
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 01.06.2021; Springer Nature B.V; SpringerOpen
• Subjects: Analysis; Applications of Mathematics; Fractional calculus; Fractional integrals; Hermite–Hadamard inequalities; Inequalities; Integrals; Interval-valued functions; Invex sets; Mathematics; Mathematics and Statistics; Preinvex functions; 28B20; Preinvex functions; Interval-valued functions; 26A51; Hermite–Hadamard inequalities; 26A33; Invex sets; Fractional integrals; 26E25; 26D15

In this paper, we introduce ( h 1 , h 2 ) -preinvex interval-valued function and establish the Hermite–Hadamard inequality for preinvex interval-valued functions by using interval-valued Riemann–Liouville fractional integrals. We obtain Hermite–Hadamard-type inequalities for the product of two inter...