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

Autor: Nidhi Sharma, Sanjeev Kumar Singh, Shashi Kant Mishra, Abdelouahed Hamdi
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Journal of Inequalities and Applications, Vol 2021, Iss 1, Pp 1-15 (2021)
Druh dokumentu: article
ISSN: 1029-242X
DOI: 10.1186/s13660-021-02623-w
Popis: Abstract In this paper, we introduce ( h 1 , h 2 ) $(h_{1},h_{2})$ -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 interval-valued functions. Further, some examples are given to confirm our theoretical results.
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