Results 71 to 80 of about 448 (115)

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

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

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  

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

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
core  

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

The Voronovskaya theorem for some operators of the Szasz-Mirakjan type

Le Matematiche, 1995
We give the Voronovskaya theorem for some operators  of the Szasz-Mirakjan type defined in the space of functions continuous on [0,+infinity) and having the polynomial grouth at infinity. Some approximation properties of these operators are given in [2],
Lucina Rempulska, Mariola Skorupka
doaj  

Approximation by the new modification of Bernstein-Stancu operators

Cumhuriyet Science Journal, 2021
The current paper deals with the new modification of Bernstein-Stancu operators which preserve constant and Korovkin’s other test functions in limit case. We study the uniform convergence of the newly defined operators.
Melek Sofyalıoğlu, Kadir Kanat
doaj  

Approximation by some combinations of Poisson integrals for Hermite and Laguerre expansions

Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2013
The aim of this paper is the study of a rate of convergence of some combinations of Poisson integrals for Hermite and Laguerre expansions. We are able to achieve faster convergence for our modified operators over the Poisson integrals.
Grażyna Krech, Eugeniusz Wachnicki
doaj  

Quadrature rules associated with Baskakov quasi-interpolants

, 2014
Quadrature rules on the positive real half-line obtained by integrating the Baskakov quasi-interpolants described in \cite{MM, Sab7} are constructed and their asymptotic convergence orders are studied.
Sablonnière, Paul
core   +1 more source