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math.OC2017
On monotonicity of some functionals with variable exponent under symmetrization
S. Bankevich, A. I. Nazarov
We give necessary and sufficient conditions for the Pólya--Szegö type inequality with variable exponent of summability.
math.OC2014
On monotonicity of some functionals under rearrangements
S. V. Bankevich, A. I. Nazarov
We consider the Polya--Szegö type weighted inequality. We prove this inequality for monotone rearrangement and for Steiner's symmetrization.