Riemann–Liouville Fractional Integral Inequalities for Generalized Harmonically Convex Fuzzy-Interval-Valued Functions
Copyright policy )Riemann–Liouville Fractional Integral Inequalities for Generalized Harmonically Convex Fuzzy-Interval-Valued Functions
AbstractThe 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⋅HFejér) 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.
- University of Salamanca Spain
- COMSATS University Islamabad Pakistan
- University of Sulaymaniyah Iraq
- Taif University Saudi Arabia
Statistics and Probability, Interval (graph theory), Economics, Generalization, Social Sciences, Geometry, Fuzzy Differential Equations and Uncertainty Modeling, Convex Functions, Multi-Criteria Decision Making, Management Science and Operations Research, Matrix Inequalities and Geometric Means, Mathematical analysis, Decision Sciences, Fractional Integrals, Convexity, Hadamard inequality, Interval-Valued Functions, Convex function, Hadamard, FOS: Mathematics, Hermite polynomials, Applied Mathematics, Pure mathematics, Harmonically-convex fuzzy-interval-valued function, QA75.5-76.95, Fuzzy Differential Equations, Regular polygon, Algorithm, Fejér inequality, Combinatorics, Electronic computers. Computer science, Physical Sciences, Hermite-Hadamard Inequalities, Hermite, Mathematics, Finance
Statistics and Probability, Interval (graph theory), Economics, Generalization, Social Sciences, Geometry, Fuzzy Differential Equations and Uncertainty Modeling, Convex Functions, Multi-Criteria Decision Making, Management Science and Operations Research, Matrix Inequalities and Geometric Means, Mathematical analysis, Decision Sciences, Fractional Integrals, Convexity, Hadamard inequality, Interval-Valued Functions, Convex function, Hadamard, FOS: Mathematics, Hermite polynomials, Applied Mathematics, Pure mathematics, Harmonically-convex fuzzy-interval-valued function, QA75.5-76.95, Fuzzy Differential Equations, Regular polygon, Algorithm, Fejér inequality, Combinatorics, Electronic computers. Computer science, Physical Sciences, Hermite-Hadamard Inequalities, Hermite, Mathematics, Finance
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