Search
Now showing items 1-10 of 12
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 ...
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 ...
Power Series of Positive Linear Operators
(Springer Basel Ag, 2019)
We describe a unifying approach for studying the power series of the positive linear operators from a certain class. For the same operators, we give simpler proofs of some known ergodic theorems.
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, ...
The new forms of Voronovskaya's theorem in weighted spaces
(Springer, 2016)
The Voronovskaya theorem which is one of the most important pointwise convergence results in the theory of approximation by linear positive operators (l.p.o) is considered in quantitative form. Most of the results presented ...
Iterated Boolean Sums of Bernstein Type Operators
(TAYLOR & FRANCIS INC, 2020)
The approximation of functions using linear positive operators is affected by saturation. The quality of approximation offered by iterated Boolean sums increases with the regularity of the function. We present some qualitative ...
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 ...