MKZ Type Operators Providing a Better Estimation on [1/2,1)

• Autores: Mehmet Ali Ozarslan, Oktay Duman
• Localización: Canadian mathematical bulletin, ISSN 0008-4395, Vol. 50, Nº 3, 2007, págs. 434-439
• Idioma: inglés
• DOI: 10.4153/cmb-2007-042-8
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• Resumen

  • In the present paper, we introduce a modification of the Meyer-König and Zeller (MKZ) operators which preserve the test functions f0(x) = 1 and f2(x)= x2, and we show that this modification provides a better estimation than the classical MKZ operators on the interval [1/2, 1) with respect to the modulus of continuity and the Lipschitz class functionals. Furthermore, we present the r-th order generalization of our operators and study their approximation properties.