Approximation of functions from exponential weight spaces by operators of Szász-Mirakyan type

• Autorzy: Herzog M.
• Języki publikacji: EN

Abstrakty

EN

In this paper we will study properties of Szasz-Mirakyan type operators defined by modified Bessel function. We shall present Voronovskaya type theorem and theorems giving a degree of approximation by these operators for exponential bounded function.

Słowa kluczowe

EN

linear positive operator; Bessel function; degree of approximation

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
• Rocznik: 2003
• Tom: [Z] 43(1)
• Strony: 77--94
• Opis fizyczny: Bibliogr. 4 poz.

Twórcy

autor

Herzog M.

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

Bibliografia

• [1] T. Hermann, Approximation of unbounded functions on unbounded interval, Acta Math. Acad. Scien. Hung., 29 (1977), 393-398.
• [2] L. Rempulska, M. Skorupka, The Bernstein inequality for some operators of the Szász-Mirakyan type, Note di Matematice (Italy), 14 (1994), 277-290.
• [3] M. Herzog, Approximation theorems for modified Szász-Mirakyan operators in polynomial weight spaces, Le Matematiche 54 (1999), 77-90.
• [4] G. N. Watson, Theory of Bessel Functions, Cambridge Univ. Press, Cambridge, 1966.