Results 71 to 80 of about 553 (125)

The generalization of some results for Schurer and Schurer-Stancu operators

open access: yesJournal of Numerical Analysis and Approximation Theory, 2011
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

Quadrature rules associated with Baskakov quasi-interpolants

open access: yes, 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

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

open access: yesJournal 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

On certain q-Baskakov-Durrmeyer operators

open access: yesLe 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   +2 more
doaj  

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

open access: yesMathematics
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

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

open access: yesAxioms
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

open access: yesJournal 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]

open access: yes, 2015
Ana Maria Acu   +3 more
core   +1 more source

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

open access: yesJournal 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

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