Approximation by Chlodowsky type Jakimovski-Leviatan operators

• Autores: Ibrahim Büyükyazici, Hande Tanberkan, Sevilay Kirci Serenbay
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 259, Nº 1, 2014, págs. 153-163
• Idioma: inglés
• DOI: 10.1016/j.cam.2013.04.021
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• Resumen

  • We introduce a generalization of the Jakimovski�Leviatan operators constructed by A. Jakimovski and D. Leviatan (1969) in [1] and the theorems on convergence and the degree of convergence are established. We also give a Voronovskaya-type theorem. Furthermore, we study the convergence of these operators in a weighted space of functions on a positive semi-axis and estimate the approximation by using a new type of weighted modulus of continuity introduced by A.D. Gadjiev and A. Aral (2007) in [9].