Results 71 to 80 of about 439 (126)

On approximation properties of a new construction of Baskakov operators

Advances in Difference Equations, 2021
The purpose of this research is to construct sequences of Baskakov operators such that their construction consists of a function σ by use of two function sequences, ξ n $\xi _{n} $ and η n $\eta _{n} $ .
Fuat Usta
doaj   +1 more source

Approximation by bivariate Bernstein–Kantorovich–Stancu operators that reproduce exponential functions

Journal of Inequalities and Applications
In this study, we construct a Stancu-type generalization of bivariate Bernstein–Kantorovich operators that reproduce exponential functions. Then, we investigate some approximation results for these operators.
Lian-Ta Su, Kadir Kanat, Melek Sofyalioğlu Aksoy, Merve Kisakol   +3 more
doaj   +1 more source

A Fubini polynomial-based generalization of Szász-Baskakov operators

Mathematical and Computer Modelling of Dynamical Systems
This work contains a generalization of the Szász-Baskakov operators with the help of Fubini polynomials. Firstly, we get the rate of convergence of our new operators and then we find some approximation results.
Melek Sofyalıoğlu Aksoy, Verda Karadaş   +1 more
doaj   +1 more source

Approximation properties of certain modified Szasz-Mirakyan operators

Le Matematiche, 2000
We introduce certain modified Szasz - Mirakyan operators in exponential weighted spaces of functions of one variable. We give theorems on the degree of approximation and the Voronovskaya type theorem.
Lucyna Rempulska, Zbigniew Walczak
doaj  

Modified Bernstein Polynomials and Jacobi Polynomials in q-Calculus

, 2004
We introduce here a generalization of the modified Bernstein polynomials for Jacobi weights using the $q$-Bernstein basis proposed by G.M. Phillips to generalize classical Bernstein Polynomials.
Derriennic, Marie-Madeleine
core   +3 more sources

Convergence Theorems for Derivatives of a New Baskakov -Type Operators

Wasit Journal for Pure Sciences
The motive of this paper is to introduce and investigate the derivatives of some Baskakov operators. Firstly, we treated with the convergence theorems on some certain type of Baskakov operators and then we found the derivative of these operators.
Haneen Jaafar, haneen jaafar
doaj   +1 more source

Polynomial Inequalities on the π/4-Circle Sector [PDF]

, 2017
A number of sharp inequalities are proved for the space P (2D (π/4)) of 2-homogeneous polynomials on ℝ2 endowed with the supremum norm on the sector D (π/4) := {eiθ : θ ∈ [0, π/4]}.
Araujo, G., Jiménez Rodríguez, P., Muñoz-Fernández, Gustavo A., Seoane-Sepúlveda, Juan B.   +3 more
core   +1 more source

On Baskakov operators preserving the exponential function

Journal of Numerical Analysis and Approximation Theory, 2017
In this paper, we are concerned about the King-type Baskakov operators defined by means of the preserving functions \(e_{0}\) and \(e^{2ax},\ a>0\) fixed.
Ovgu Gurel Yilmaz, Vijay Gupta, Ali Aral
doaj   +2 more sources

An Inverse Approximation and Saturation Order for Kantorovich Exponential Sampling Series

, 2022
In the present article, an inverse approximation result and saturation order for the Kantorovich exponential sampling series $I_{w}^{\chi}$ are established. First we obtain a relation between the generalized exponential sampling series $S_{w}^{\chi}$ and
Bajpeyi, Shivam, Devaraj, P., Kumar, A. Sathish   +2 more
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Simultaneous approximation by operators of exponential type

, 2023
There are many results on the simultaneous approximation by sequences of special positive linear operators. In the year 1978, Ismail and May as well as Volkov independently studied operators of exponential type covering the most classical approximation ...
Abel, Ulrich
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