Approximation of conjugate functions by general linear operators of their Fourier series at the Lebesgue points

• Autorzy: Łenski W. , Szal B.
• Języki publikacji: EN

Abstrakty

EN

The pointwise estimates of the deviations (…) and (…) in terms of moduli of continuity (…) and (…) are proved. Analogical results on norm approximation with remarks and corollary are also given. These results generalized a theorem of Mittal [3, Theorem 1, p. 437].

Słowa kluczowe

EN

rate of approximation; summability of Fourier series

PL

aproksymacja; przybliżenie; szeregi Fouriera

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2014
• Tom: Vol. 47, nr 4
• Strony: 878--892
• Opis fizyczny: Bibliogr. 5 poz.

Twórcy

autor

Łenski W.

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

autor

Szal B.

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

Bibliografia

• [1] S. Aljančič, R. Bojanić, M. Tomić, On the degree of convergence of Fejér-Lebesgue sums, Enseign. Math., Geneva, 15 (1969), 21–28.
• [2] W. Łenski, B. Szal, Approximation of integrable functions by general linear operators of their Fourier series at the Lebesgue points, Acta Math. Hungar. 131(4) (2011), 380–394.
• [3] M. L. Mittal, A sufficient condition for (F1)-effectiveness of the C1T-method, J. Math. Anal. Appl. 220 (1998), 434–450. Article no. AY975781
• [4] M. L. Mittal, B. E. Rhoades, V. N. Mishra, Approximation of signals (functions) belonging to the weighted W (Lp, ζ (t)), (p≥1)-class by linear operators, Int. J. Math. Math. Sci., Vol. 2006, (2006), Article ID: 53538.
• [5] A. Zygmund, Trigonometric Series, Cambridge, 2002.