On the degree of strong approximation of functions and conjugate functions

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

Abstrakty

EN

We extend and generalize the results of the first author [4]. Considering additionally conjugate functions and introducing a new subclass of integrable functions we obtain the results of the L. Leindler [3] and P. Chandra [1, 2] type.

Słowa kluczowe

EN

approximation; functions; conjugate function

PL

aproksymacja; funkcje; funkcja sprzężona

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2010
• Tom: Vol. 43, nr 1
• Strony: 117--128
• Opis fizyczny: Bibliogr. 5 poz.

Twórcy

autor

Łenski W.

autor

Szal B.

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

Bibliografia

• [1] P. Chandra, On the degree of approximation of a class of functions by means of Fourier series, Acta Math. Hungar. 52 (1988), 199-205.
• [2] P. Chandra, A note on the degree of approximation of continuous functions, Acta Math. Hungar. 62 (1993), 21-23.
• [3] L. Leindler, On the degree of approximation of continuous functions, Acta Math. Hungar. 104 (2004), 105-113.
• [4] W. Łenski, On the degree of strong approximation of integrable functions, J. Inequal. Pure Appl. Math. 8(3) (2007), Art. 70.
• [5] A. Zygmund, Trigonometric Series, Cambridge, 2002.