Results 71 to 80 of about 533 (141)

On the Convergence of a Family of Chlodowsky Type Bernstein-Stancu-Schurer Operators

Journal of Function Spaces, 2018
We construct a new family of univariate Chlodowsky type Bernstein-Stancu-Schurer operators and bivariate tensor product form. We obtain the estimates of moments and central moments of these operators, obtain weighted approximation theorem, establish ...
Lian-Ta Shu, Guorong Zhou, Qing-Bo Cai
doaj   +1 more source

Voronovskaja Type Approximation Theorem For q-Szasz-Beta-Stancu Type Operators

, 2015
In this paper, we study on 𝑞 −analogue of Szász-Beta-Stancu type operators. We give a Voronovskaja type theoremfor 𝑞 - Szász-Beta-Stancu type operators. 
Dinlemez, Ülkü, Yüksel, İsmet
openaire   +3 more sources

On certain q-Baskakov-Durrmeyer operators

Le Matematiche, 2011
In this paper we introduce a q−analogue of Baskakaov-beta operators. We establish Voronovskaja-type theorem and obtain local error estimates by these q−operators in uniform norm by using the Ditzian-Totik weighted modulus of smoothness for 0 < q < ...
Asha R. Gairola, Girish Dobhal, Karunesh Kumar Singh   +2 more
doaj  

A Study of Szász–Durremeyer-Type Operators Involving Adjoint Bernoulli Polynomials

Mathematics
This research work introduces a connection of adjoint Bernoulli’s polynomials and a gamma function as a sequence of linear positive operators. Further, the convergence properties of these sequences of operators are investigated in various functional ...
Nadeem Rao, Mohammad Farid, Rehan Ali
doaj   +1 more source

Voronovskaja-type theorems for a certain non-positive linear operator

Journal of Numerical Analysis and Approximation Theory, 1986
The paper deals with some Voronovskaya-type theorems for the following non-positive pseudopolynomial linear operator in two variables considered by the first author [An. Univ. Craiova, Ser. A V-A 2, 43-54 (1974; Zbl 0304.41005)]: \[ P_ n(f;x,y)=()\sum^{n}_{i=0}\{f(x,i/n)+f(i/n,y)- f(i/n,i/n)\}\{p_{n,i}(x)+p_{n,i}(y)\} \] where \(p_{n,i}(x)=\left ...
Ion Badea, Dorin Andrica
openaire   +3 more sources

The generalization of Voronovskaja's theorem for a class of linear and positive operators

Journal of Numerical Analysis and Approximation Theory, 2005
In this paper we generalize Voronovskaja's theorem for a class of linear and positive operators, and then, through particular cases, we obtain statements verified by the Bernstein, Schurer, Stancu, Kantorovich and Durrmeyer operators.
openaire   +3 more sources

Approximation Results: Szász–Kantorovich Operators Enhanced by Frobenius–Euler–Type Polynomials

Axioms
This research focuses on the approximation properties of Kantorovich-type operators using Frobenius–Euler–Simsek polynomials. The test functions and central moments are calculated as part of this study.
Nadeem Rao, Mohammad Farid, Mohd Raiz
doaj   +1 more source

Approximation using Jakimovski–Leviatan operators of Durrmeyer type with 2D-Appell polynomials

Journal of Inequalities and Applications
This article delves into Jakimovski–Leviatan–Durrmeyer type operators based on 2D-Appell polynomials. The investigation initiates by exploring the Korovkin-type approximation theorem and its convergence rates, employing both the traditional modulus of ...
Manoj Kumar, Nusrat Raza, M. Mursaleen
doaj   +1 more source

Approximation properties of q-Kantorovich-Stancu operator [PDF]

, 2015
Ana Maria Acu, Arif Rafiq, Shin Min Kang, Young Chel Kwun   +3 more
core   +1 more source

Ibragimov–Gadjiev operators preserving exponential functions

Journal of Inequalities and Applications
In this paper, a modification of general linear positive operators introduced by Ibragimov and Gadjiev in 1970 is constructed. It is shown that this modification preserves exponential mappings and also contains modified Bernstein-, Szász- and Baskakov ...
Serap Herdem
doaj   +1 more source