Approximation properties of certain modified Szasz-Mirakyan operators of functions of two variables

• Autorzy: Walczak Z.
• Języki publikacji: EN

Abstrakty

EN

We introduce certain modified Szasz-Mirakyan operators in polynomial and exponential weighted spaces of functions of two variables and we study the degree of approximation of functions by these operators.

Słowa kluczowe

EN

Szasz-Mirakyan operator; degree of approximation; polynomial; exponential weighted space

PL

operator Szasz-Mirakyana; aproksymacja; wielomian

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2004
• Tom: Nr 34
• Strony: 129--140
• Opis fizyczny: Bibliogr. 5 poz.

Twórcy

autor

Walczak Z.

• Institute of Mathematics, Poznań University of Technology, Piotrowo 3A, 60-965 Poznań, Poland

Bibliografia

• [1] M. Becker, Global approximation theorems for Szasz-Mirakyan and Baskakov operators in polynomial weight spaces, Indiana Univ. Math. J. 27(1)(1978), 127-142.
• [2] M. Becker, D. Kucharski, R.J. Nessel, Global approximation theorems for the Szasz-Mirakyan operators in exponential weight spaces, In: Linear Spaces and Approximation (Proc. Conf. Oberwolfach, 1977), Birkhäuser Verlag, Basel.
• [3] V. Totik, Uniform approximation by Szasz-Mirakyan type operators, Acta Math. Hung. 41(3-4)(1983), 291-307.
• [4] Z. Walczak, On certain modified Szasz-Mirakyan operators in polynomial weighted spaces (to appear).
• [5] Z. Walczak, On certain modified Szasz-Mirakyan operators in exponential weighted spaces, Matematychni Studii (to appear).