Some General Fractional Integral Inequalities Involving LR–Bi-Convex Fuzzy Interval-Valued Functions
Bandar Bin‐Mohsin, Sehrish Rafique, Clemente Cesarano, Muhammad Zakria Javed, Muhammad Uzair Awan, Artion Kashuri, Muhammad Aslam Noor
Abstract
The main objective of this paper is to introduce a new class of convexity called left-right–bi-convex fuzzy interval-valued functions. We study this class from the perspective of fractional Hermite–Hadamard inequalities, involving a new fractional integral called the left-right–AB fractional integral. We discuss several special cases that demonstrate that our results are quite unifying. We provide non-trivial numerical examples regarding special means for positive real numbers in order to check the validity of our outcomes.
Topics & Concepts
MathematicsInterval (graph theory)ConvexityConvex functionClass (philosophy)Fractional calculusRegular polygonPure mathematicsHadamard transformApplied mathematicsHermite polynomialsFuzzy measure theoryFuzzy logicDiscrete mathematicsMathematical analysisFuzzy setCombinatoricsFuzzy numberComputer scienceFinancial economicsArtificial intelligenceEconomicsGeometryMathematical Inequalities and ApplicationsFuzzy Systems and OptimizationFunctional Equations Stability Results