Refining the Submean Inequality for Subharmonic Functions

Anton, Asare-Tuah and Edward, Prempeh (2016) Refining the Submean Inequality for Subharmonic Functions. British Journal of Mathematics & Computer Science, 12 (3). pp. 1-10. ISSN 22310851

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Abstract

It is known that the composition of a convex, increasing functional with a subharmonic function is subharmonic. In this paper we show that the composition of a superquadratic functional with a subharmonic function is subharmonic, with a sharper submean inequality. It is further demonstrated that the composition of an increasing convex functional with a nonnegative superquadratic functional with a subharmonic function is subharmonic, with a sharper submean inequality.

Item Type: Article
Subjects: Pustakas > Mathematical Science
Depositing User: Unnamed user with email support@pustakas.com
Date Deposited: 29 May 2023 05:08
Last Modified: 23 Jan 2024 04:43
URI: http://archive.pcbmb.org/id/eprint/614

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