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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.
On Kantorovich modification of (p, q)-Baskakov operators
(Springeropen, 2016)
The concern of this paper is to introduce a Kantorovich modification of (p, q)-Baskakov operators and investigate their approximation behaviors. We first define a new (p, q)-integral and construct the operators. The rate ...
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 ...
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 ...
Differentiated Bernstein Type Operators
(PADOVA UNIV PRESS, 2020)
The present paper deals with the derivatives of Bernstein type operators preserving some exponential functions. We investigate the uniform convergence of the differentiated operators. The rate of convergence by means of a ...
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 ...
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 ...
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 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, ...
