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


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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.

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S. Bankevich

St.Petersburg State University

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Email: Sergey.Bankevich@gmail.com
俄罗斯联邦, St.Petersburg

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