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Generalized mean function | ||
| Journal of Al-Qadisiyah for Computer Science and Mathematics | ||
| Article 1, Volume 1, Issue 1, 2009, Pages 1-21 PDF (0 K) | ||
| Authors | ||
| Ali Hussain Battor; Hadeel Ali Shubber | ||
| Abstract | ||
| In 1969 S.K.Skaff introduced the generalized mean function In this work we present the theory of an integral mean for generalized GN*-function .We will show under what conditions the mean function is a GN*-function and satisfies a condition. Moreover, we examine how the minimizing points in the definition of the mean function affect a basic property of the ordinary integral mean. 1.Introduction and Basic Concept: From the functional analysis as a function space, Orlicz spaces appeared in the first of the by W.R. Orlicz in Orlicz paper [1]. Many theorems and properties about generalized mean function for GN-function is introduced in [5]. we have consolidated the investigation of a new definition generalized mean function for GN*-functions and discussed their properties. | ||
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