On approximation by modified Bernstein polynomials.
Singh, Suresh P., Prasad, Govind (1985)
Publications de l'Institut Mathématique. Nouvelle Série
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Singh, Suresh P., Prasad, Govind (1985)
Publications de l'Institut Mathématique. Nouvelle Série
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Annales Polonici Mathematici
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We prove a local saturation theorem in ordinary approximation for combinations of Durrmeyer's integral modification of Bernstein polynomials.
Gupta, Vijay, Agrawal, P.N. (1992)
Publications de l'Institut Mathématique. Nouvelle Série
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MSC 2010: 41A10, 41A15, 41A25, 41A36 For functions belonging to the classes C2[0; 1] and C3[0; 1], we establish the lower estimate with an explicit constant in approximation by Bernstein polynomials in terms of the second order Ditzian-Totik modulus of smoothness. Several applications to some concrete examples of functions are presented.