1
Department of Mathematics, University of Harran, 63100, Anlurfa, Turkey
2
Department of Mathematics, University of Harran, 63100, Anlurfa, Turkey.
10.22034/kjm.2020.109823
Abstract
In the approximation theory, polynomials are particularly positive linear operators. Nonlinear positive operators by means of maximum and product were introduced by B. Bede. In this paper, the max-product of Bernstein operators for symmetric ranges are introduced and some upper estimates of approximation error for some subclasses of functions are obtained. Also, we investigate the shape-preserving properties.
Acar, E., Karahan, D., & Kirci Serenbay, S. (2020). Approximation for the Bernstein operator of max-product kind in symmetric range. Khayyam Journal of Mathematics, 6(2), 257-273. doi: 10.22034/kjm.2020.109823
MLA
Ecem Acar; Done Karahan; Sevilay Kirci Serenbay. "Approximation for the Bernstein operator of max-product kind in symmetric range". Khayyam Journal of Mathematics, 6, 2, 2020, 257-273. doi: 10.22034/kjm.2020.109823
HARVARD
Acar, E., Karahan, D., Kirci Serenbay, S. (2020). 'Approximation for the Bernstein operator of max-product kind in symmetric range', Khayyam Journal of Mathematics, 6(2), pp. 257-273. doi: 10.22034/kjm.2020.109823
VANCOUVER
Acar, E., Karahan, D., Kirci Serenbay, S. Approximation for the Bernstein operator of max-product kind in symmetric range. Khayyam Journal of Mathematics, 2020; 6(2): 257-273. doi: 10.22034/kjm.2020.109823