Ara
Toplam kayıt 42, listelenen: 21-30
Kantorovich-type generalization of parametric Baskakov operators
(Wiley, 2019)
In this manuscript, we define a Kantorovich generalization of the nonnegative parametric Baskakov operators. After that, the weighted uniform convergence of the generalized operators is proved. Also, we present Voronovskaja-type ...
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 properties of Szasz-Mirakyan operators preserving exponential functions
(Springer, 2019)
This paper is a natural continuation of Acar et al. (Mediterr J Math 14:6, 2017, 10.1007/s00009-016-0804-7) where Szasz-Mirakyan operators preserving exponential functions are defined. As a first result, we show that the ...
Quantitative Voronovskaya-Type Results for Polynomially Bounded Functions
(Springer Basel Ag, 2016)
We prove quantitative Voronovskaya-type results and Gruss-Voronovskaya inequalities for polynomially bounded functions. The results are given in terms of suitable K-functionals and applied to linking Szasz-Mirakyan and ...
On the modification of the Szasz-Durrmeyer operators
(Walter De Gruyter Gmbh, 2016)
In this paper we consider the modification of Szasz-Durrmeyer operators based on the Jain basis function. Voronovskaya-type estimates of point-wise convergence along with its quantitative version based on the weighted ...
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, ...
Bernstein durrmeyer operators based on two parameters
(Univ Nis, 2016)
In the present paper, we study the applications of the extension of quantum calculus based on two parameters. We define beta function and establish an identity with gamma function, for two parameters (p, q), ie. the ...
On discrete Picard operators
(Wiley-Blackwell, 2016)
The present paper is concerned with the approximation properties of discrete version of Picard operators. We first give exact equalities for the moments of the operators. In calculations of these moments, Eulerian numbers ...
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 ...
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. ...