Geodesic
On the P\'olya--Sz\'eg\"o Inequality for Functionals with Variable Exponent
Funkcionalʹnyj analiz i ego priloženiâ, Tome 52 (2018) no. 1, pp. 56-60

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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. 
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     author = {S. V. Bankevich},
     title = {On the {P\'olya--Sz\'eg\"o} {Inequality} for {Functionals} with {Variable} {Exponent}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
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     publisher = {mathdoc},
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     url = {http://geodesic.mathdoc.fr/item/FAA_2018_52_1_a4/}
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S. V. Bankevich. On the P\'olya--Sz\'eg\"o Inequality for Functionals with Variable Exponent. Funkcionalʹnyj analiz i ego priloženiâ, Tome 52 (2018) no. 1, pp. 56-60. http://geodesic.mathdoc.fr/item/FAA_2018_52_1_a4/