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On the pointwise strong approximation by $(C,1)(E,1)$ means

Volume 79 / 2008

W/lodzimierz /Lenski, Bogdan Roszak Banach Center Publications 79 (2008), 113-117 MSC: Primary 42A24. DOI: 10.4064/bc79-0-8

Abstract

We present an estimate of the $( C,1) ( E,1) $-strong means with mixed powers of the Fourier series of a function $f\in L_{2\pi }$ as a generalization of the result obtained by M. Yildrim and F. Karakus. Some corollaries on the norm approximation are also given.

Authors

  • W/lodzimierz /LenskiFaculty of Mathematics, Computer Science and Econometrics
    University of Zielona Góra
    Szafrana 4a
    65-516 Zielona Góra, Poland
    e-mail
  • Bogdan RoszakFaculty of Mathematics, Computer Science and Econometrics
    University of Zielona Góra
    Szafrana 4a
    65-516 Zielona Góra, Poland

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