Hardy–Littlewood–Pólya-type theorems for invex functions
Copyright policy )Hardy–Littlewood–Pólya-type theorems for invex functions
In this paper, the Hardy–Littlewood–Pólya theorem on majorization is extended from convex functions to invex ones. Some variants for pseudo-invex and quasi-invex functions are also considered. The framework used is that of similarly separable vectors. The results obtained are illustrated for monotonic, monotonic in mean, and star-shaped vectors, respectively. Applications to relative invexity are given.
invex function, convex functions, invex functions, Quasi-invex function, relative invexity, quasi-invex function, Relative invexity, Convexity of real functions in one variable, generalizations, separable vector, Computational Mathematics, Computational Theory and Mathematics, Separable vector, Modelling and Simulation, convex functions; invex functions; majorization; relative invexity, majorization, Inequalities for sums, series and integrals, Invex function, Majorization, pseudo-invex function, Pseudo-invex function
invex function, convex functions, invex functions, Quasi-invex function, relative invexity, quasi-invex function, Relative invexity, Convexity of real functions in one variable, generalizations, separable vector, Computational Mathematics, Computational Theory and Mathematics, Separable vector, Modelling and Simulation, convex functions; invex functions; majorization; relative invexity, majorization, Inequalities for sums, series and integrals, Invex function, Majorization, pseudo-invex function, Pseudo-invex function
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).5 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!