Riemann–Liouville Fractional Integral Inequalities for Generalized Harmonically Convex Fuzzy-Interval-Valued Functions

International Journal of Computational Intelligence Systems

Hatim Ghazi Zaini¹  Mohamed S. Soliman²  Muhammad Bilal Khan³  Pshtiwan Othman Mohammed⁴  Gustavo Santos-García⁵ 

[1] Department of Computer Science, College of Computers and Information Technology, Taif University;Department of Electrical Engineering, College of Engineering, Taif University;Department of Mathematics, COMSATS University Islamabad;Department of Mathematics, College of Education, University of Sulaimani;Facultad de Economía Y Empresa and Multidisciplinary Institute of Enterprise (IME), University of Salamanca;

关键词: Harmonically-convex fuzzy-interval-valued function;    Hermite;    Hadamard inequality;    Hermite;    Hadamard;    Fejér inequality;   

DOI  :  10.1007/s44196-022-00081-w

来源: DOAJ

【 摘 要 】

Abstract The framework of fuzzy-interval-valued functions (FIVFs) is a generalization of interval-valued functions (IVF) and single-valued functions. To discuss convexity with these kinds of functions, in this article, we introduce and investigate the harmonically $$\mathsf{h}$$ h -convexity for FIVFs through fuzzy-order relation (FOR). Using this class of harmonically $$\mathsf{h}$$ h -convex FIVFs ( $$\mathcal{H}-\mathsf{h}$$ H - h -convex FIVFs), we prove some Hermite–Hadamard (H⋅H) and Hermite–Hadamard–Fejér (H⋅H Fejér) type inequalities via fuzzy interval Riemann–Liouville fractional integral (FI Riemann–Liouville fractional integral). The concepts and techniques of this paper are refinements and generalizations of many results which are proved in the literature.

【 授权许可】

Unknown