Results 61 to 70 of about 156 (109)
Geometric series of positive linear operators and inverse Voronovskaya theorem
, 2013 We define the associated geometric series for a large class of positive linear operators and study the convergence of the series in the case of sequences of admissible operators. We obtain an inverse Voronovskaya theorem and we apply our results to the Bernstein operators, the Bernstein-Durrmeyer-type operators, and the symmetrical version of Meyer ...
Abel, Ulrich +2 more
openaire +2 more sources
Ideal relatively uniform convergence with Korovkin and Voronovskaya types approximation theorems
Filomat, 2019 We introduce the notion of ideally relative uniform convergence of sequences of real valued functions. We then apply this notion to prove Korovkin-type approximation theorem, and then construct an illustrative example by taking (p,q)-Bernstein operators which proves that our Korovkin theorem is stronger than its classical version as well as
Mohiuddine, S. A. +2 more
openaire +3 more sources
Convergence Theorems for Derivatives of a New Baskakov -Type Operators
Wasit Journal for Pure SciencesThe 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
Journal of Inequalities and ApplicationsIn 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 +3 more
doaj +1 more source
On Some Extensions of Szasz Operators Including Boas-Buck-Type Polynomials
Abstract and Applied Analysis, 2012 This paper is concerned with a new sequence of linear positive operators which generalize Szasz operators including Boas-Buck-type polynomials.
Sezgin Sucu +2 more
doaj +1 more source
A Kantorovich Type of Szasz Operators Including Brenke-Type Polynomials
Abstract and Applied Analysis, 2012 We give a Kantorovich variant of a generalization of Szasz operators defined by means of the Brenke-type polynomials and obtain convergence properties of these operators by using Korovkin's theorem.
Fatma Taşdelen +2 more
doaj +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
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
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
A Voronovskaya-type theorem for a certain nonlinear Bernstein operators
, 2015 The present paper concerns with the nonlinear Bernstein operators NBnf of the form (NB(n)f)(x) = Sigma(n)(k=0) P-n,P-k (x, f (k/n)), 0
Karslı, Harun, Altın, Hüseyin Erhan
openaire +1 more source