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Journal of Mathematics
Volume 2013, Article ID 426347, 8 pages
http://dx.doi.org/10.1155/2013/426347
Research Article

Pointwise Analog of the Stečkin Approximation Theorem

Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra, Ulica Szafrana 4a, 65-516 Zielona Góra, Poland

Received 11 November 2012; Accepted 20 January 2013

Academic Editor: Roberto Renò

Copyright © 2013 Włodzimierz Łenski. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. S. Aljančić, R. Bojanić, and M. Tomić, “On the degree of convergence of Fejéer-Lebesgue sums,” L'Enseignement Mathématique. Revue Internationale. IIe Série, vol. 15, pp. 21–28, 1969. View at Google Scholar · View at MathSciNet
  2. S. B. Stečkin, “On the approximation of periodic functions by de la Vallée Poussin sums,” Analysis Mathematica, vol. 4, no. 1, pp. 61–74, 1978. View at Publisher · View at Google Scholar · View at MathSciNet
  3. N. Tanović-Miller, “On some generalizations of the Fejér-Lebesgue theorem,” Unione Matematica Italiana. Bollettino. B. Serie 6, vol. 1, no. 3, pp. 1217–1233, 1982. View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  4. W. Łenski, “Pointwise approximation by de la Vallée-Poussin means,” East Journal on Approximations, vol. 14, no. 2, pp. 131–136, 2008. View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  5. P. L. Butzer and R. J. Nessel, Fourier Analysis and Approximation, Academic Press, New York, NY, USA, 1971. View at MathSciNet
  6. L. Leindler, “Sharpening of Stečkin's theorem to strong approximation,” Analysis Mathematica, vol. 16, no. 1, pp. 27–38, 1990. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet