Results 1 to 10 of about 493 (102)

Approximation properties of λ-Kantorovich operators [PDF]

Journal of Inequalities and Applications, 2018
In the present paper, we study a new type of Bernstein operators depending on the parameter λ∈[−1,1] $\lambda\in[-1,1]$. The Kantorovich modification of these sequences of linear positive operators will be considered.
Ana-Maria Acu, Nesibe Manav, Daniel Florin Sofonea   +2 more
doaj   +2 more sources

Voronovskaja-type theorem for certain GBS operators [PDF]

Glasnik Matematicki, 2008
In this paper we will demonstrate a Voronovskaja-type theorem and approximation theorem for GBS operator associated to a linear positive ...
Agratini, Badea, Badea, Baskakov, Bernstein, Bleimann, Cheney, Favard, Meyer-König, Mirakjan, Ovidiu T. Pop, Pop, Pop, Pop, Pop, Pop, Pop, Pop, Szász, Timan, Voronovskaja   +20 more
core   +5 more sources

Approximation properties of λ-Bernstein operators [PDF]

Journal of Inequalities and Applications, 2018
In this paper, we introduce a new type λ-Bernstein operators with parameter λ∈[−1,1] $\lambda\in[-1,1]$, we investigate a Korovkin type approximation theorem, establish a local approximation theorem, give a convergence theorem for the Lipschitz ...
Qing-Bo Cai, Bo-Yong Lian, Guorong Zhou
doaj   +2 more sources

Approximation by Genuine q-Bernstein-Durrmeyer Polynomials in Compact Disks in the Case q>1 [PDF]

Abstract and Applied Analysis, 2014
This paper deals with approximating properties of the newly defined q-generalization of the genuine Bernstein-Durrmeyer polynomials in the case q>1, which are no longer positive linear operators on C0,1.
Nazim I. Mahmudov
doaj   +4 more sources

Complete asymptotic expansions related to conjecture on a Voronovskaja-type theorem

Journal of Mathematical Analysis and Applications, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ioan Gavrea, Mircea Ivan
exaly   +3 more sources

The Voronovskaja type theorem for an extension of Szász-Mirakjan operators

Demonstratio Mathematica, 2012
Abstract Recently, C. Mortici defined a class of linear and positive operators depending on a certain function ϕ, which generalize the well known Szász-Mirakjan operators. For these generalized operators we establish a Voronovskaja type theorem, the uniform convergence and the order of approximation, using the modulus of continuity.
Ovidiu T Pop, Dan Bărbosu, Dan Miclăuş   +2 more
exaly   +3 more sources

Asymptotic expansions and Voronovskaja type theorems for the multivariate neural network operators

Mathematical Foundations of Computing, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Danilo Costarelli, Gianluca Vinti
exaly   +4 more sources

The Bernstein Voronovskaja-type theorem for positive linear approximation operators

Journal of Approximation Theory, 2015
The main result of the paper is a general Bernstein-Voronovskaja property: if \(\{ L_{n} \}_{n\geq 1},\) \(L_{n} : C[0,1] \to C[0,1],\) is a sequence of positive linear approximation operators, i.e., \(L_{n}(f;x) \to f(x)\) as \(n \to \infty\) for \(x \in [0,1],\) and \[ R(L_{n},f,q,x) := L_{n}(f;x) - \sum_{i=0}^{q} L_{n}((\cdot - x)^{i};x) \frac{f^{(i)
Ioan Gavrea, Mircea Ivan
exaly   +2 more sources

A new kind of Bernstein-Schurer-Stancu-Kantorovich-type operators based on q-integers. [PDF]

J Inequal Appl, 2017
Chauhan R, Ispir N, Agrawal PN.
europepmc   +2 more sources

Asymptotic formula in simultaneous approximation for certain Ismail-May-Baskakov operators

Journal of Numerical Analysis and Approximation Theory, 2021
In the present paper, we introduce a modification of Ismail-May operators having weights of Baskakov basis functions. We estimate weighted Korovkin's theorem and difference estimates between two operators and establish a Voronovskaja type asymptotic ...
Vijay Gupta, Michael Th. Rassias
doaj   +7 more sources