Minimizing moments.

Jan Mycielski; Pawel Szeptycki

doi:rae/1149860204

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Home > Journals > Real Anal. Exchange > Volume 29 > Issue 1 > Article

2003-2004 Minimizing moments.

Jan Mycielski, Pawel Szeptycki

Author Affiliations +

Jan Mycielski,¹ Pawel Szeptycki²
¹Department of Mathematics, University of Colorado
²Department of Mathematics, University of Kansas

Real Anal. Exchange 29(1): 131-138 (2003-2004).

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Abstract

We will prove a certain characterization of the function $x^2$ and of some similar functions, in the style of Cauchy's characterization of the function $ax$ by its additivity and boundedness over any interval of positive length.