Symmetric Quantum Inequalities on Finite Rectangular Plane
Saad Ihsan Butt, Muhammad Nasim Aftab, Youngsoo Seol
Abstract
Finding the range of coordinated convex functions is yet another application for the symmetric Hermite–Hadamard inequality. For any two-dimensional interval [a0,a1]×[c0,c1]⊆ℜ2, we introduce the notion of partial qθ-, qϕ-, and qθqϕ-symmetric derivatives and a qθqϕ-symmetric integral. Moreover, we will construct the qθqϕ-symmetric Hölder’s inequality, the symmetric quantum Hermite–Hadamard inequality for the function of two variables in a rectangular plane, and address some of its related applications.
Topics & Concepts
MathematicsHermite polynomialsConvex functionComplex planeHadamard transformPlane (geometry)Pure mathematicsFunction (biology)Interval (graph theory)Mathematical analysisRegular polygonCombinatoricsGeometryEvolutionary biologyBiologyMathematical Inequalities and ApplicationsMathematical functions and polynomialsMathematics and Applications