On Monotonicity of Some Functionals Under Monotone Rearrangement with Respect To One Variable


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Abstract

The Pólya–Szegö inequality is considered for a monotone rearrangement with integrand depending on the rearrangement variable. The inequality is proved for integrands having polynomial growth.

About the authors

S. V. Bankevich

St.Petersburg State University

Author for correspondence.
Email: Sergey.Bankevich@gmail.com
Russian Federation, St.Petersburg

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