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Toplam kayıt 34, listelenen: 21-30
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 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 ...
Weighted approximation by modified Picard operators
(SPRINGER, 2020)
Herein, the aim is to further investigate the properties of the generalized Picard operators introduced in Agratini et al. (Positivity 3(21):1189-1199, 2017). The motivation is based on with the purpose of furnishing ...
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 ...
Power series of Beta operators
(Elsevier Science Inc, 2014)
In this paper we investigate the power series of Beta operators. We first study the convergence of this series and describe the Voronovskaya operator A and the inverse Voronovskaya operator. Then, a quantitative convergence ...
Weighted Approximation by New Bernstein-Chlodowsky-Gadjiev Operators
(Univ Nis, Fac Sci Math, 2013)
In the present paper, we introduce Bernstein-Chlodowsky-Gadjiev operators taking into consideration the polynomials introduced by Gadjiev and Ghorbanalizadeh [2]. The interval of convergence of the operators is a moved ...
Approximation by q Baskakov Beta operators
(Springer Heidelberg, 2011)
In the present paper we introduce the q analogue of the Baskakov Beta operators. We establish some direct results in the polynomial weighted space of continuous functions defined on the interval [0, a). Then we obtain ...
Some approximation properties of q-Baskakov-Durrmeyer operators
(Elsevier Science Inc, 2011)
Very recently Aral and Gupta [1] introduced q analogue of Baskakov-Durrmeyer operators. In the present paper we extend the studies, we establish the recurrence relations for the central moments and obtain an asymptotic ...
On the Durrmeyer type modification of the q-Baskakov type operators
(Pergamon-Elsevier Science Ltd, 2010)
This paper deals with Durrmeyer type generalization of q-Baskakov type operators using the concept of q-integral, which introduces a new sequence of positive q-integral operators. We show that this sequence is an approximation ...