Certain quantum estimates on the parameterized integral inequalities and their applications
Tingsong Du, Chun an Luo, Bo Yu
Abstract
The present paper aims to study the parameterized inequalities of Hadamard-Simpson type for quantum integrals. By employing a quantum integral identity of multi-parameter, we establish novel inequalities for a class of q -differentiable mappings, which are related to s -(,m)convex mappings. Moreover, we acquire estimation-type results by considering the boundedness and the Lipschitz condition. As applications, we present two illustrative examples and several quantum integral inequalities for the special means.
Topics & Concepts
Parameterized complexityMathematicsInequalityQuantumApplied mathematicsPure mathematicsAlgebra over a fieldCalculus (dental)Mathematical analysisCombinatoricsQuantum mechanicsPhysicsDentistryMedicineMathematical Inequalities and ApplicationsMathematical functions and polynomialsFunctional Equations Stability Results