Direct results for generalized Favard-Kantorovich and Favard-Durrmeyer operators in weighted function spaces

• Autorzy: Nowak G.
• Języki publikacji: EN

Słowa kluczowe

EN

Favard-Durrmeyer operator; Favard-Kantorovich operator; direct approximation theorem; weighted function space

PL

operator Favarda-Kantorovicha; operator Favarda-Durrmeyera

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2003
• Tom: Vol. 36, nr 4
• Strony: 879--891
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Nowak G.

• Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Matejki 48/49, 60-769 Poznań, Poland

Bibliografia

• [1] M. Becker, P. L. Butzer, R. J. Nessel, Saturation for Favard operators in weighted function spaces, Studia Math., 59 (1976), 139-153.
• [2] M. Becker, Inverse theorems for Favard operators in plynomial weight spaces, Ann. Soc. Math. Pol., Ser. I: Commentat. Math. 22 (1981), 165-173.
• [3] P. L. Butzer, R. J. Nessel, Fourier Analysis and Approximation, Vol. I, Academic Press, New York and London, 1971.
• [4] Z. Ditzian, V. Totik, Moduli of Smoothness, Springer Series in Computational Mathematics, Vol. 9, Springer-Verlag, New York Inc., 1987.
• [5] J. Favard, Sur les multiplicateurs d'interpolation, J. Math. Pures Appl. 23 (1944), 219-247.
• [6] W. Gawronski, U. Stadtmüller, Approximation of continuous functions by generalized Favard operators, J. Approx. Theory 34 (1982), 384-396.
• [7] G. Nowak, P. Pych-Taberska, Approximation properties of the generalized Favard-Kantorovich operators, Ann. Soc. Math. Pol., Ser. I: Commentât. Math. 39 (1999), 139-152.
• [8] P. Pych-Taberska, On the generalized Favard operators, Funct. Approx., Comment. Math. 26 (1998), 256-273.