The voronovskaja type theorem for an extension of Szász-Mirakjan operators

• Autorzy: Pop O. T. , Bărbosu D. , Miclăus D.
• Języki publikacji: EN

Abstrakty

EN

Recently ,C.Mortici defined a class of linear and positive operators depending on a certain function (…) which generalize the well known Szasz Mirakjan operators. For these generalized operators we establish a Voronovskaja type theorem, the uniform convergence and the order of approximation, using the modulus of continuity.

Słowa kluczowe

EN

Voronovskaja-type theorem; Szasz Mirakjan operators; modulus of continuity

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2012
• Tom: Vol. 45, nr 1
• Strony: 107--115
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Pop O. T.

autor

Bărbosu D.

autor

Miclăus D.

• National College "Mihai Eminescu" Mihai Eminescu 5,440014 Satu Mare,Romania,

Bibliografia

• [1] O.Agratini, Approximation by linear operators (in Romanian) Presa Universitar. Clujean., Cluj Napoca 2000.
• [2] F.Altomare, M.Campiti, Korovkin-type Approximation Theory and its Applications de Gruyter Series Studies in Mathematics,17,Walter de Gruyter &Co., Berlin, New York 1994.
• [3] J.Favard, Sur les multiplicateurs d’interpolation J.Math. Pures Appl.23(9)(1944), 219 .247.
• [4] A.Jakimovski, D.Leviatan, Generalized Szász operators for the approximation in the infinite interval Mathematica (Cluj)34 (1969),97 .103.
• [5] G.M.Mirakjan, Approximation of continuous functions with the aid of polynomials (in Russian) Dokl.Acad.Nauk. SSSR 31 (1941),201 .205.
• [6] C.Mortici, An extension of the Szász-Mirakjan operators, An.t. Univ. Ovidius Constan a 17(1)(2009),137 .144.
• [7] O.T.Pop, About some linear and positive operators defined by infinite sum, Demonstratio Math.39 (2006),377 .388.
• [8] O.Szasz, Generalization of S. N. Bernstein’s polynomials to the infinite interval J. Research, National Bureau of Standards 45 (1950),239 .245.