arrow
Volume 31, Issue 1
The Strong Approximation of Functions by Fourier-Vilenkin Series in Uniform and Hölder Metrics

T. V. Iofina & S. S. Volosivets

Anal. Theory Appl., 31 (2015), pp. 1-12.

Published online: 2017-01

Export citation
  • Abstract

We will study the strong approximation by Fourier-Vilenkin series using matrices with some general monotone condition. The strong Vallee-Poussin, which means of Fourier-Vilenkin series is also investigated.

  • AMS Subject Headings

40F05, 42C10, 43A55, 43A75

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{ATA-31-1, author = {T. V. Iofina and S. S. Volosivets}, title = {The Strong Approximation of Functions by Fourier-Vilenkin Series in Uniform and Hölder Metrics}, journal = {Analysis in Theory and Applications}, year = {2017}, volume = {31}, number = {1}, pages = {1--12}, abstract = {

We will study the strong approximation by Fourier-Vilenkin series using matrices with some general monotone condition. The strong Vallee-Poussin, which means of Fourier-Vilenkin series is also investigated.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.2015.v31.n1.1}, url = {http://global-sci.org/intro/article_detail/ata/4618.html} }
TY - JOUR T1 - The Strong Approximation of Functions by Fourier-Vilenkin Series in Uniform and Hölder Metrics AU - T. V. Iofina & S. S. Volosivets JO - Analysis in Theory and Applications VL - 1 SP - 1 EP - 12 PY - 2017 DA - 2017/01 SN - 31 DO - http://doi.org/10.4208/ata.2015.v31.n1.1 UR - https://global-sci.org/intro/article_detail/ata/4618.html KW - Vilenkin systems, strong approximation, generalized monotonicity. AB -

We will study the strong approximation by Fourier-Vilenkin series using matrices with some general monotone condition. The strong Vallee-Poussin, which means of Fourier-Vilenkin series is also investigated.

T. V. Iofina and S. S. Volosivets. (2017). The Strong Approximation of Functions by Fourier-Vilenkin Series in Uniform and Hölder Metrics. Analysis in Theory and Applications. 31 (1). 1-12. doi:10.4208/ata.2015.v31.n1.1
Copy to clipboard
The citation has been copied to your clipboard