Jensen‐Grüss inequality and its applications for the Zipf‐Mandelbrot law
Saad Ihsan Butt, Milica Klaričić Bakula, Đilda Pečarić, Josip Pečarić
Abstract
In this paper, we prove several Jensen‐Grüss type inequalities under various conditions. Some applications in information theory are also given.
Topics & Concepts
MathematicsZipf's lawMandelbrot setInequalityJensen's inequalityPure mathematicsMathematical economicsApplied mathematicsCalculus (dental)Mathematical analysisFractalStatisticsGeometryConvex optimizationConvex analysisRegular polygonMedicineDentistryMathematical Inequalities and ApplicationsFunctional Equations Stability ResultsMathematics and Applications