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This article is cited in 2 scientific papers (total in 2 papers)
Brief communications
On the Pólya–Szégö Inequality for Functionals with Variable Exponent
S. V. Bankevich Petersburg State University, St. Petersburg, Russia
Abstract:
Analogues of the Pólya–Szégö inequality with variable exponent in the integrand are considered. Necessary and sufficient conditions for the fulfillment of these inequalities are obtained.
Keywords:
symmetrization, variable exponent, Pólya–Szégö inequality.
Received: 09.09.2017
Citation:
S. V. Bankevich, “On the Pólya–Szégö Inequality for Functionals with Variable Exponent”, Funktsional. Anal. i Prilozhen., 52:1 (2018), 56–60; Funct. Anal. Appl., 52:1 (2018), 45–48
Linking options:
https://www.mathnet.ru/eng/faa3523https://doi.org/10.4213/faa3523 https://www.mathnet.ru/eng/faa/v52/i1/p56
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Abstract page: | 367 | Full-text PDF : | 42 | References: | 47 | First page: | 16 |
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