On the Approximation of Locally Bounded Functions by Operators of Bleimann, Butzer and Hahn

Bleimann, Butzer, and Hahn Operators Based on the q-Integers

We give a new generalization of Bleimann, Butzer, and Hahn operators, which includes qintegers.We investigate uniform approximation of these new operators on some subspace of bounded and continuous functions. In Section 3, we show that the rates of convergence of the new operators in uniform norm are better than the classical ones. We also obtain a pointwise estimation in a general Lipschitz-ty...

Approximation of bounded variation functions by a Bézier variant of the Bleimann, Butzer, and Hahn operators

On the Voronovskaja-type formula for the Bleimann, Butzer and Hahn bivariate operators

In this paper we present two new alternative ways for the proof of Voronovskaja-type formula of the Bleimann, Butzer and Hahn bivariate operators, using the close connection between the recalled operators and Bernstein bivariate operators, respectively Stancu bivariate operators.

Approximation Properties of Bivariate Generalization of Bleimann, Butzer and Hahn Operators Based on the q-Integers

They investigated pointwise convergence properties of (1) in a compact sub-interval of [0,∞). Then Gadjiev and Çakar [2] obtained uniform convergence of (1) on semi-axis [0,∞) on some subspace of bounded and continuous functions by using the test functions ( x 1+x) ν , ν = 0, 1, 2. In 1996 q-based generalization of the classical Bernstein polynomials were introduced by G. M. Phillips [3]. He ha...

Approximation Results For q-Parametric BBH Operators

The paper introduces q-parametric Bleimann, Butzer and Hahn (q-BBH) operators as a rational transformation of q-Bernstein-Lupaş operators. On their basis, a set of new results on q-BBH operators can be obtained easily from the corresponding properties of q-Bernstein-Lupaş operators. Furthermore, convergence properties of q-BBH operators are studied.