Estimating the Hardy Constant of Nonconcave Homogeneous Quasideviation Means

Abstract

In this paper, we consider homogeneous quasideviation means generated by real functions (defined on (0, ∞)) which are concave around the point 1 and possess certain upper estimates near 0 and ∞. It turns out that their concave envelopes can be completely determined. Using this description, we establish su˚cient conditions for the Hardy property of the homogeneous quasideviation mean and we also furnish an upper estimates for its Hardy constant.

Keywords

• hardy inequality
• hardy constant
• homogeneous quasideviation mean
• jensen concavity
• 26d15
• 26e60
• 39b62