Approximation of functions from IP {uj)p by linear operators of their Fourier series

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

Abstrakty

EN

We show the results corresponding to theorems of S. Lai [Appl. Math. Comput., 209 (2009) 346-350] on the rate of approximation of functions from the generalized integral Lipschitz classes by matrix summability means of their Fourier series as well as to the authors theorems [Acta Comment. Univ. Tartu. Math., 13 (2009), 11-24] also on such approximations.

Słowa kluczowe

EN

rate of approximation; summability of Fourier series; Lipschitz classes

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2011
• Tom: Vol. 51, [Z] 2
• Strony: 189--202
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Łenski W.

autor

Szal B.

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

Bibliografia

• [1] S. Lai, Approximation of functions belonging to the generalized Lipschitz Class by Cl Np summability method of Fourier series, Appl. Math. Comput. 209 (2009), 346-350.
• [2] L. Leindler, On the degree of approximation of continuous functions, Acta Math. Hungar., 104 (1-2) (2004), 105-113.
• [3] L. Leindler, Integrability conditions pertaining to Orlicz space, J. Inequal. Pure and Appl. Math. 8(2) (2007), Art. 38, 6 pp.
• [4] W. Łenski, B. Szal, Approximation of functions belonging to the class Lp (ui)g by linear operators, Acta Comment. Univ. Tartu. Math. 13 (2009), 11-24.
• [5] M. L. Mittal, B. E. Rhoades and V. N. Mishra, Approximation of signals (function) belonging to the weighted W (Lp, £ (t)) class by linear operators, Int. J. Math. Math. Sci., (2006), Article ID 53538, p. 1-10.
• [6] B. Szal, A note on the uniform convergence and boundedness a generalized class of sine series, Commentat. Math. 48 1 (2008), 85-94.
• [7] A. Zygmund, Trigonometric series, Cambridge, 2002.