Direct and converse theorems for integral-type operators

• Autorzy: Finta Z.
• Języki publikacji: EN

Abstrakty

EN

We establish direct and converse results for integral-type operators defined with the aid of Szasz-Mirakjan operator and Baskakov operator, respectively. Moreover, some applications will be given.

Słowa kluczowe

EN

Szasz-Mirakyan operator; Baskakov operator; integral operator

PL

operatory Baskakova

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2003
• Tom: Vol. 36, nr 1
• Strony: 137--147
• Opis fizyczny: Bibliogr. 5 poz.

Twórcy

autor

Finta Z.

• Babeș-Bolyai University, Department of Mathematics and Computer Science, Str. M. Kogălniceanu 1, 3400 Cluj, Romania

Bibliografia

• [1] J. A. Adell and J. de la Cai, Using stochastic processes for studying Bernstein-type operators, Rend. Circolo Matem. Palermo, Ser. II, 33 (1999), 125-141.
• [2] Z. Ditzian and V. Totik, Moduli of Smoothness, Springer Verlag, Berlin Heidelberg New York London, 1987.
• [3] G. Mastroianni, Una generalizzazione dell'operatore di Mirakyan, Rend. Accad. Sci. Mat. Fis. Napoli, Serie IV, 48 (1980/1981), 237-252.
• [4] D. D. Stancu, On the beta approximating operators of second kind, Rev. Anal. Numér. Theorie Approximation, 24 (1-2) (1995), 231-239.
• [5] V. Totik, Approximation by Bernstein polynomials, Amer. J. Math. 116 (4) (1994), 995-1018.