Title of article :
Reverse triangle inequalities for Riesz potentials and connections with polarization
Author/Authors :
Pritsker، نويسنده , , I.E. and Saff، نويسنده , , E.B. and Wise، نويسنده , , W.، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2014
Abstract :
We study reverse triangle inequalities for Riesz potentials and their connection with polarization. This work generalizes inequalities for sup-norms of products of polynomials, and reverse triangle inequalities for logarithmic potentials. The main tool used in the proofs is the representation for a power of the farthest distance function as a Riesz potential of a unit Borel measure.
Keywords :
Riesz potential , Farthest distance function , Riesz decomposition , Chebyshev constant , Polarization inequality
Journal title :
Journal of Mathematical Analysis and Applications
Journal title :
Journal of Mathematical Analysis and Applications