On new Milne-type inequalities and applications
Paul Bosch, José M. Rodrı́guez, José M. Sigarreta
Abstract
Abstract Inequalities play a major role in pure and applied mathematics. In particular, the inequality plays an important role in the study of Rosseland’s integral for the stellar absorption. In this paper we obtain new Milne-type inequalities, and we apply them to the generalized Riemann–Liouville-type integral operators, which include most of the known Riemann–Liouville integral operators.
Topics & Concepts
MathematicsInequalityType (biology)Pure mathematicsRiemann hypothesisRiemann integralAlgebra over a fieldMathematical analysisOperator theoryFourier integral operatorEcologyBiologyMathematical Inequalities and ApplicationsMathematical functions and polynomials