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On two theorems of Hardy and Littlewood concerning moment constants

О двух теоремах Харди и Литтлвуда о моментн ых константах

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Abstract

В настоящей работе мы обобщаем два классич еских неравенства Харди и Литтлвуда о моментны х константах. Эти обоб щения получены с использов анием идеи Мателевича и Пав ловича, относящейся к степенным рядам. В новых неравен ствах вместоx α иx p участвую т общие функцииα(x) и Ф(x).

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References

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Leindler, L. On two theorems of Hardy and Littlewood concerning moment constants. Analysis Mathematica 20, 255–262 (1994). https://doi.org/10.1007/BF01904056

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  • DOI: https://doi.org/10.1007/BF01904056

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