On a new Hilbert-type integral inequality involving the upper limit functions
Hongmin Mo, Bicheng Yang
Abstract
Abstract By applying the weight functions and the idea of introduced parameters we give a new Hilbert-type integral inequality involving the upper limit functions and the beta and gamma functions. We consider equivalent statements of the best possible constant factor related to a few parameters. As applications, we obtain a corollary in the case of a nonhomogeneous kernel and some particular inequalities.
Topics & Concepts
MathematicsCorollaryLimit (mathematics)Type (biology)InequalityMathematical analysisKernel (algebra)Pure mathematicsConstant (computer programming)Weight functionBiologyEcologyProgramming languageComputer scienceMathematical Inequalities and ApplicationsMathematical functions and polynomialsFunctional Equations Stability Results