On Generalized Means and Generalized Convex Function.

Abstract

Properties of generalized convex functions, defined in terms of the generalized means introduced by Hardy, Littlewood and Polya, are easily obtained by showing that generalized means and generalized convex functions are in fact ordinary arithmetic means and ordinary convex functions, respectively, defined on linear spaces with suited chosen operations of addition and multiplication. The results are applied to some problems in statistical decision theory.

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1975
Accession Number
ADA009392

Entities

People

  • A. Ben-tal

Organizations

  • University of Texas at Austin

Tags

DTIC Thesaurus Topics

  • Arithmetic
  • Data Science
  • Decision Theory
  • Information Science
  • Mathematics
  • Statistical Decision Theory

Fields of Study

  • Mathematics

Readers

  • Linear Algebra

Technology Areas

  • Space