Now showing items 1-10 of 59
The q-derivative and applications to q-Szasz Mirakyan operators
By using the properties of the q-derivative, we show that q-Szasz Mirakyan operators are convex, if the function involved is convex, generalizing well-known results for q = 1. We also show that q-derivatives of these ...
Bleimann, Butzer, and Hahn operators based on the q-integers
(Hindawi Publishing Corporation, 2007)
We give a new generalization of Bleimann, Butzer, and Hahn operators, which includes q-integers. We investigate uniform approximation of these new operators on some subspace of bounded and continuous functions. In Section ...
q-GENERALIZATIONS OF THE PICARD AND GAUSS-WEIERSTRASS SINGULAR INTEGRALS
(Mathematical Soc Rep China, 2008)
Introducing a higher order modulus of smoothness based on q-integers, in this paper first we obtain Jackson-type estimates in approximation by Jackson-type generalizations of the q-Picard and q-Gauss-Weierstrass singular ...
On Kantorovich process of a sequence of the generalized linear positive operators
(Taylor & Francis Inc, 2008)
We define the Kantorovich variant of the generalized linear positive operators introduced by Ibragimov and Gadjiev in 1970. We investigate direct approximation result for these operators on p-weighted integrable function ...
A generalization of Szasz-Mirakyan operators based on q-integers
(Pergamon-Elsevier Science Ltd, 2008)
In this paper, we introduce a generalization of Szasz-Mirakyan operators based on q-integers, that we call q-Szasz-Mirakyan operators. Depending on the selection of q, these operators are more flexible than the classical ...
Generalized Picard singular integrals
(Pergamon-Elsevier Science Ltd, 2009)
in this article, we introduce and study a new type of Picard singular integral operators on R-n constructed by means of the concept of the nonisotropic beta-distance and the q-exponential functions. The central role here ...
APPLICATIONS OF (p, q)-GAMMA FUNCTION TO SZASZ DURRMEYER OPERATORS
(Publications L Institut Mathematique Matematicki, 2017)
We define a (p, q) analogue of Gamma function. As an application, we propose (p, q)-Szasz-Durrmeyer operators, estimate moments and establish some direct results.
New Integral Type Operators
(Univ Nis, Fac Sci Math, 2017)
In this paper we construct new integral type operators including heritable properties of Baskakov Durrmeyer and Baskakov Kantorovich operators. Results concerning convergence of these operators in weighted space and the ...
Comparison of Two-Parameter Bernstein Operator and Bernstein-Durrmeyer Variants
(Springer Singapore Pte Ltd, 2018)
The quantum calculus and the post-quantum calculus have recently gained broad popularity in computational science and engineering due to their applications to diverse areas such as solution of differential equations, ...
BERNSTEIN-TYPE OPERATORS THAT REPRODUCE EXPONENTIAL FUNCTIONS
In this paper we recover a generalization of the classical Bernstein operators introduced by Morigi and Neamtu in 2000. Specifically, we focus on a sequence of operators that reproduce the exponential functions exp(mu t) ...