On Monotonicity of Some Functionals Under Monotone Rearrangement with Respect To One Variable
- Authors: Bankevich S.V.1
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Affiliations:
- St.Petersburg State University
- Issue: Vol 224, No 3 (2017)
- Pages: 385-390
- Section: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/239608
- DOI: https://doi.org/10.1007/s10958-017-3423-3
- ID: 239608
Cite item
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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