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Lack of Tauberian theorem for absolute almost convergence

О несправедливости Тауберовой теоремы для абсолютной почти сходимости

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Abstract

The main object of the present paper is to show that analogue of the Tauberian theorem for almost convergence is false for absolute almost convergence. Besides, applications are made for Fourier series.

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Главной целью работы является установить, что аналог Тауберовой теоремы не выполнятся для абсолютной почти сходимости. Приведены следствия для рядов Фурье.

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Authors and Affiliations

  1. Institute of Mathematics and Applications, 2nd Floor, Surya Kiran Building, Po-Saheed Nagar, Bhubaneswar, 751007, Orissa, India

    G. Das & B. K. Ray

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  1. G. Das
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  2. B. K. Ray
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Correspondence to G. Das.

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Das, G., Ray, B.K. Lack of Tauberian theorem for absolute almost convergence. Anal Math 35, 37–49 (2009). https://doi.org/10.1007/s10476-009-0103-7

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  • DOI: https://doi.org/10.1007/s10476-009-0103-7

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