Riemann-Liouville Fractional Inclusions for Convex Functions Using Interval Valued Setting
Vuk Stojiljković, Rajagopalan Ramaswamy, Ola A. Ashour Abdelnaby, Stojan Radenović
Abstract
In this work, various fractional convex inequalities of the Hermite–Hadamard type in the interval analysis setting have been established, and new inequalities have been derived thereon. Recently defined p interval-valued convexity is utilized to obtain many new fractional Hermite–Hadamard type convex inequalities. The derived results have been supplemented with suitable numerical examples. Our results generalize some recently reported results in the literature.
Topics & Concepts
MathematicsHadamard transformHermite polynomialsInterval (graph theory)ConvexityConvex functionType (biology)Pure mathematicsRegular polygonJensen's inequalityApplied mathematicsMathematical analysisConvex analysisConvex optimizationCombinatoricsGeometryBiologyEconomicsEcologyFinancial economicsMathematical Inequalities and ApplicationsFunctional Equations Stability ResultsFractional Differential Equations Solutions