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Toplam kayıt 34, listelenen: 1-10
On two classes of approximation processes of integral type
(Springer, 2017)
The paper aims to study two classes of linear positive operators representing modifications of Picard and Gauss operators. The new operators reproduce both constants and a given exponential function. Approximation properties ...
Direct Estimates for Lupas-Durrmeyer Operators
(Univ Nis, Fac Sci Math, 2016)
The generalization of the Bernstein polynomials based on Polya distribution was first considered by Stancu [14]. Very recently Gupta and Rassias [6] proposed the Durrmeyer type modification of the Lupas, operators and ...
(p, q)-Variant of Szasz-Beta operators
(Springer-Verlag Italia Srl, 2017)
In the present paper, we introduce certain (p, q) analogue of the Szasz-Beta operators using (p, q)-variant of Beta function of second kind. We present direct theorem in weighted spaces in terms of suitable weighted modulus ...
Szasz-Mirakyan Type Operators Which Fix Exponentials
(Springer Basel Ag, 2017)
In this paper, we construct a new general class of operators which have the classical Szasz Mirakyan ones as a basis, and fix the functions and with . The convergence of the corresponding sequences is discussed in exponential ...
On Szasz-Mirakyan Operators Preserving e(2ax), a > 0
(Springer Basel Ag, 2017)
A modification of Szasz-Mirakyan operators is presented that reproduces the functions 1 and e(2ax), a > 0 fixed. We prove uniform convergence, order of approximation via a certain weighted modulus of continuity, and a ...
Simultaneous approximation with generalized Durrmeyer operators
(Elsevier Science Inc, 2015)
The aim of this paper is to obtain some convergence properties of generalized sequences of Ibragimov-Gadjiev-Durrmeyer operators which are a wide class of linear positive operators including many well known linear positive ...
On Pointwise Convergence of q-Bernstein Operators and Their q-Derivatives
(Taylor & Francis Inc, 2015)
Pointwise convergence of q-Bernstein polynomials and their q-derivatives in the case of 0 < q < 1 is discussed. We study quantitative Voronovskaya type results for q-Bernstein polynomials and their q-derivatives. These ...
On Kantorovich Modification of (p, q)-Bernstein Operators
(Springer International Publishing Ag, 2018)
In the present paper, we introduce Kantorovich modifications of (p, q)-Bernstein operators using a new (p, q) -integral. We first estimate the moments and central moments. We obtain uniform convergence of new operators, ...
Approximation by Bivariate (p, q)-Bernstein-Kantorovich Operators
(Springer International Publishing Ag, 2018)
In the present paper, we introduce Kantorovich modifications of (p, q)-Bernstein operators for bivariate functions using a new (p, q)-integral. We first estimate the moments and central moments. We give the uniform convergence ...
A new construction of Szasz-Mirakyan operators
(Springer, 2018)
The paper aims to study a generalization of Szasz-Mirakyan-type operators such that their construction depends on a function rho by using two sequences of functions. To show how the function rho play a crucial role in the ...