ON THE RATE OF CONVERGENCE OF THE STANCU TYPE BERNSTEIN OPERATORS FOR FUNCTIONS OF BOUNDED VARIATION

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Mathematical Sciences and Applications E-Notes
Volume:3 Issue:1
ON THE RATE OF CONVERGENCE OF THE STANCU TYPE BERNSTEIN OPERATORS FOR FUNCTIONS OF BOUNDED VARIATION

ON THE RATE OF CONVERGENCE OF THE STANCU TYPE BERNSTEIN OPERATORS FOR FUNCTIONS OF BOUNDED VARIATION

Authors : Rüya USTER, Ertan İBİKLİ

Pages : 126-136

Doi:10.36753/mathenot.421231

View : 23 | Download : 10

Publication Date : 2015-05-15

Article Type : Research Paper

Abstract :In this paper, we estimate the rate of pointwise convergence of the Stancu type Bernstein operators for functions defined on the interval. To prove our main result, we have used some methods and techniques from probability theory.
Keywords : Approximation, Bernstein Stancu polynomials, Bounded variation, Total variation, Rate of convergence

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