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Toplam kayıt 6, listelenen: 1-6
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 ...
The q-derivative and applications to q-Szasz Mirakyan operators
(Springer, 2006)
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 ...
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 ...
Approximation by k-th order modifications of Szász-Mirakyan operators
(Akademiai Kiado Rt, 2016)
In this paper, we study the k-th order Kantorovich type modication of Szasz-Mirakyan operators. We first establish explicit formulas giving the images of monomials and the moments up to order six. Using this modification, ...
Voronovskaja's theorem for functions with exponential growth
(WALTER DE GRUYTER GMBH, 2020)
In the present paper we establish a general form of Voronovskaja's theorem for functions defined on an unbounded interval and having exponential growth. The case of approximation by linear combinations is also considered. ...
On Approximation Properties of a New Type of Bernstein-Durrmeyer Operators
(Walter De Gruyter Gmbh, 2015)
The present paper deals with a new type of Bernstein-Durrmeyer operators on mobile interval. First, we represent the operators in terms of hypergeometric series. We also establish local and global approximation results for ...