Abstract
In this paper we obtain the differentiated generalized Voronovskaja’s theorem in complex setting with upper and exact quantitative estimates. The results extend that obtained in the real case on [0, 1] in Gonska and Raşa (Mat Vesnik 61:53–60, 2009) and generalize those obtained in the complex case in Gal (Results Math 53:257–268, 2009).
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Gal S.G.: Generalized Voronovskaja’s theorem and approximation by Butzer’s combinations of complex Bernstein polynomials. Results Math. 53, 257–268 (2009)
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Gal, S.G. Differentiated Generalized Voronovskaja’s Theorem in Compact Disks. Results. Math. 61, 347–353 (2012). https://doi.org/10.1007/s00025-011-0121-1
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DOI: https://doi.org/10.1007/s00025-011-0121-1