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Almost everywhere convergence of some subsequences of Fejér means for integrable functions on some unbounded Vilenkin groups

In: Mathematica Slovaca, vol. 67, no. 1
Nacima Memić

Details:

Year, pages: 2017, 179 - 190
Keywords:
Vilenkin groups, Fejér means, almost everywhere convergence
About article:
Following the methods of G. Gát, in this work we prove the a.e convergence of the subsequence $(\sigma_{\frac{m_{n}}{2}M_{n}}f)_{n}$, for every integrable function $f$ on unbounded Vilenkin groups, such that the sequence $(m_{n})_{n}$ contains infinitely many even terms satisfying the estimate $\frac{\ln m_{k-1}\ln m_{k}}{m_{k}}=O(1)$.
How to cite:
ISO 690:
Memić, N. 2017. Almost everywhere convergence of some subsequences of Fejér means for integrable functions on some unbounded Vilenkin groups. In Mathematica Slovaca, vol. 67, no.1, pp. 179-190. 0139-9918. DOI: https://doi.org/10.1515/ms-2016-0256

APA:
Memić, N. (2017). Almost everywhere convergence of some subsequences of Fejér means for integrable functions on some unbounded Vilenkin groups. Mathematica Slovaca, 67(1), 179-190. 0139-9918. DOI: https://doi.org/10.1515/ms-2016-0256
About edition:
Published: 1. 2. 2017