Abstract
This paper develops a systematic and detailed investigation of the monotonicity properties of the derivatives of the sequence of Bernstein polynomials, by using some results from the theory of divided differences, established in the first part of the paper. The results obtained here represent a generalization of those given by the author in his previous paper [11].
Authors
Dimitrie D. STancu
“Babes-Bolyai” University, Cluj-Napoca, Romania
Keywords
Monotonicity Property; Bernstein Polynomial; Divided Difference; Distinct Node; Bernstein Type
Paper coordinates
Stancu, D.D. Application of divided differences to the study of monotonicity of the derivatives of the sequence of bernstein polynomials. Calcolo 16, 431–445 (1979). https://doi.org/10.1007/BF02576641
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0008-0624
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