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Iterated means of convex bodies

Authors:	R. J. Gregorac

Affiliation:	(1) Department of Mathematics, Iowa State University, 50011 Ames, Iowa, USA

Abstract:	LetK be a convex body inRⁿ with polarK. Let _p refer to Fireyp orp-dot means. If 0<<1,p1, andK_i+1=K_i_p(1–)K_i, fori1, then $mathop {lim}limits_{i to infty }$ K_i is the unit ball inRⁿ.

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