Certain family of Durrmeyer type operators
The present paper is a continuation of the earlier work of the author. Here we study the rate of convergence of certain Durrmeyer type operators for function having derivatives of bounded variation.
Global approximation by modified Baskakov type operators.
In the present paper, we prove a global direct theorem for the modified Baskakov type operators in terms of so called Ditzian-Totik modulus of smoothness.
Approximation properties of q-Baskakov operators
We establish direct estimates for the q-Baskakov operator introduced by Aral and Gupta in [2], using the second order Ditzian-Totik modulus of smoothness. Furthermore, we define and study the limit q-Baskakov operator.
Statistical approximation properties of q-Baskakov-Kantorovich operators
In the present paper we introduce a q-analogue of the Baskakov-Kantorovich operators and investigate their weighted statistical approximation properties. By using a weighted modulus of smoothness, we give some direct estimations for error in case 0 < q < 1.
On convergence of -Chlodovsky-type MKZD operators
A note on rate of approximation for certain Bézier-Durrmeyer operators
Bernstein-Durrmeyer type operators preserving linear functions
An Estimate Of The Rate Of Convergence For Modified Szász-Mirakyan Operators Of Function Of Bounded Variation
Simultaneous approximation by linear combination of modified bernstein polynomials
Approximation by the Bézier variant of the MKZ-Kantorovich operators in the case α < 1
The pointwise approximation properties of the Bézier variant of the MKZ-Kantorovich operators for α ≥ 1 have been studied in [Comput. Math. Appl., 39 (2000), 1-13]. The aim of this paper is to deal with the pointwise approximation of the operators for the other case 0 < α < 1. By means of some new techniques and new inequalities we establish an estimate formula on the rate of convergence of the operators for the case 0 < α < 1. In the end we propose the q-analogue of MKZK operators....
Approximation by Durrmeyer-type operators
We define a new kind of Durrmeyer-type summation-integral operators and study a global direct theorem for these operators in terms of the Ditzian-Totik modulus of smoothness.
A saturation theorem for combinations of Bernstein-Durrmeyer polynomials
We prove a local saturation theorem in ordinary approximation for combinations of Durrmeyer's integral modification of Bernstein polynomials.
Rate of approximation for the Bézier variant of Balazs-Kantorovich operators
On a new type of Meyer-Konig and Zeller operators.
Rate of convergence on Baskakov-Beta-Bézier operators for bounded variation functions.
A note on integral modification of the Meyer-König and Zeller operators.
On a hybrid family of summation integral type operators.
-approximation by iterative combination of Phillips operators.
Direct results for certain family of integral type operators.
Rate of approximation for Bézier variant of Bleimann-Butzer and Hahn operators.
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