Approximation of functions of two variables by modified Szasz-Mirakyan operators

• Autorzy: Herzog M.
• Języki publikacji: EN

Abstrakty

EN

In this paper we study approximative properties of modified Szasz-Mirakyan operators for functions of two variables from polynomial weight spaces. We present some direct theorems giving a degree of approximation for these operators.

Słowa kluczowe

EN

linear positive operators; Bessel function; modulus of continuity; degree of approximation

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2012
• Tom: Vol. 52, [Z] 1
• Strony: 3--9
• Opis fizyczny: Bibliogr. 6 poz.

Twórcy

autor

Herzog M.

• Inistitute of Mathematics, Cracow University of Technology Warszawska 24, 31-155 Cracow, Poland,

Bibliografia

• [1] M. Herzog, Approximation theorems for modified Szasz-Mirakjan operators in polynomial weight spaces, Le Matematiche 54.1 (1999), 77-90.
• [2] L. Rempulska, M. Skorupka, On some operators in weighted spaces of functions of two variables, Ricerche Mat. 48.1 (1999), 1-20.
• [3] E. Wachnicki, Approximation by bivariate Mazhar-Totik operators, Comment. Math. 50.2 (2010), 141-153.
• [4] Z. Walczak, On certain modified Szasz-Mirakjan operators for functions of two variables, Demonstratio Math. 33.1 (2000), 91-100.
• [5] Z. Walczak, Approximation of functions of two variables by modified Szasz-Mirakyan operators, Fasc. Math. 34 (2004), 129-140.
• [6] G. N. Watson, Theory of Bessel functions, Cambridge Univ. Press, Cambridge, 1966