# On the monotonicity of a sequence of Stancu-Bernstein type operators

## Abstract

One makes a study of a sequence of Bernstein type operators, introduced and studied in [9]. These are depending on two paramters $$a$$ and $$b,0\leq a\leq b$$. First, one deduces a reprensntations by dividded differences for the differences of two consecutive terms of the sequence of polynomials obtained by applting these operators to a function $$f\in C\left[0,1\right]$$. Using this representation, one enounces several sufficient conditions for the monotonicity of the sequence of Stancu-Bernstein polynomials.

## Authors

Octavian Agratini
Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania

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## Paper coordinates

O. Agratini, On the monotonicity of a sequence of Stancu-Bernstein type operators, Studia Univ. ”Babeș-Bolyai”, Mathematica, 41 (1996) no. 2, pp.17-23

## PDF

##### Journal

Studia Universitatis “Babes-Bolyai” Mathematica

Mathematica

1843-3855

2065-3855