The generalization of some results for Schurer and Schurer-Stancu operators
In the present paper we generalize some results for Schurer and Schurer-Stancu operators. Firstly, we establish a general formula concerning calculation of test functions by Schurer operators.
Dan Miclăuş
doaj +2 more sources
Voronovskaja Type Approximation Theorem For q-Szasz-Beta-Stancu Type Operators
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
Voronovskaja-type theorems for a certain non-positive linear operator
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
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
On certain q-Baskakov-Durrmeyer operators
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 +2 more
doaj
A Study of Szász–Durremeyer-Type Operators Involving Adjoint Bernoulli Polynomials
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
On the Convergence of a Family of Chlodowsky Type Bernstein-Stancu-Schurer Operators
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
Szász-integral operators linking general-Appell polynomials and approximation
This manuscript is associated with a study of general Appell polynomials. In this research work, we introduced a new sequence of Szász-Integral type of sequence of operators via general-Appell polynomials to discuss approximation properties for Lebesgue ...
Nadeem Rao +2 more
doaj +1 more source
Approximation properties of q-Kantorovich-Stancu operator [PDF]
Ana Maria Acu +3 more
core +1 more source
Approximation using Jakimovski–Leviatan operators of Durrmeyer type with 2D-Appell polynomials
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

