Results 41 to 50 of about 478 (139)

Approximation properties of the new type generalized Bernstein-Kantorovich operators

AIMS Mathematics, 2022
In this paper, we introduce new type of generalized Kantorovich variant of α-Bernstein operators and study their approximation properties. We obtain estimates of rate of convergence involving first and second order modulus of continuity and Lipschitz ...
Mustafa Kara
doaj   +1 more source

A Voronovskaya Type Theorem for Poisson–Cauchy Type singular operators

Journal of Mathematical Analysis and Applications, 2010
The paper deals with the study of approximation properties of smooth Poisson-Cauchy type singular integral operators over the real line. A Voronovskaya type asymptotic formula is also established.
Anastassiou, George A., Mezei, Razvan A.
openaire   +1 more source

(p,q)-Generalization of Szasz-Mirakyan Operators

, 2015
In this paper, we introduce new modifications of Szasz-Mirakyan operators based on (p,q)-integers. We first give a recurrence relation for the moments of new operators and present explicit formula for the moments and central moments up to order 4.
Acar, Tuncer
core   +1 more source

How to Analyze Models of Nonlinear Public Goods [PDF]

, 2018
Public goods games often assume that the effect of the public good is a linear function of the number of contributions. In many cases, however, especially in biology, public goods have nonlinear effects, and nonlinear games are known to have dynamics and
Archetti, Marco
core   +2 more sources

A Voronovskaya-Type Theorem for a General Class of Discrete Operators

Rocky Mountain Journal of Mathematics, 2009
A general class of discrete, not necessarily positive operators is studied that acts on functions defined on an interval of the real line and has the form \[ (S_nf)(t)=\sum _{k=0}^\infty K_n(t,\nu_{n,k})f(\nu_{n,k}),\quad n\in\mathbb N,\;t\in I, \] where \(I\) is a fixed interval (bounded or not) in \(\mathbb R\) and, for every \(n\in\mathbb N ...
BARDARO, Carlo, MANTELLINI, Ilaria
openaire   +3 more sources

On Sequences of J. P. King‐Type Operators

Journal of Function Spaces, Volume 2019, Issue 1, 2019., 2019
This survey is devoted to a series of investigations developed in the last fifteen years, starting from the introduction of a sequence of positive linear operators which modify the classical Bernstein operators in order to reproduce constant functions and x2 on [0,1]. Nowadays, these operators are known as King operators, in honor of J. P.
Tuncer Acar, Mirella Cappelletti Montano, Pedro Garrancho, Vita Leonessa, Guozhen Lu   +4 more
wiley   +1 more source

On the rate of convergence of modified \(\alpha\)-Bernstein operators based on q-integers

Journal of Numerical Analysis and Approximation Theory, 2022
In the present paper we define a q-analogue of the modified a-Bernstein operators introduced by Kajla and Acar (Ann. Funct. Anal. 10 (4) 2019, 570-582). We study uniform convergence theorem and the Voronovskaja type asymptotic theorem.
Purshottam Agrawal, Dharmendra Kumar, Behar Baxhaku   +2 more
doaj   +1 more source

Quantitative Voronovskaya- and Grüss–Voronovskaya-type theorems by the blending variant of Szász operators including Brenke-type polynomials

TURKISH JOURNAL OF MATHEMATICS, 2018
Summary: The present paper aims to investigate a class of linear positive operators by combining Szász-Jain operators and Brenke polynomials and studies their approximation properties. We also prove quantitative Voronovskaya-type results and establish Grüss-Voronovskaja-type theorem.
Purshottam Narain AGRAWAL, Behar BAXHAKU, Ruchi CHAUHAN   +2 more
openaire   +2 more sources

POINTS OF RETRACTION INTO CONE AND VORONOVSKAYA TYPE THEOREMS

Proceedings of the Karelian Research Centre of the Russian Academy of Sciences, 2015
The general approach to Voronovskaya theorems about the rate of convergence of linear operators sequence to the functions of some classes is considered. These theorems are proved with the help of a functional which in many concrete situations may have a differential structure.
Yury Abakumov, Victor Banin
openaire   +3 more sources

On Approximation by Algebraic Version of the Trigonometric Jackson Integrals Gs,n in Weighted Integral Metric

Journal of Operators, Volume 2013, Issue 1, 2013., 2013
We characterize the errors of the algebraic version of trigonometric Jackson integrals Gs,n in weighted integral metric. We prove direct and strong converse theorem in terms of the weighted K‐functional.
Teodora Zapryanova, Hagen Neidhardt
wiley   +1 more source