Results 61 to 70 of about 448 (115)

Polynomial approximations to continuous functions and stochastic compositions [PDF]

, 2016
This paper presents a stochastic approach to theorems concerning the behavior of iterations of the Bernstein operator $B_n$ taking a continuous function $f \in C[0,1]$ to a degree-$n$ polynomial when the number of iterations $k$ tends to infinity and $n$
Konstantopoulos, Takis, Yuan, Linglong, Zazanis, Michael A.   +2 more
core   +1 more source

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., Hazarika, Bipan, Alghamdi, Mohammed A.   +2 more
openaire   +3 more sources

Approximation Properties of Complex q-Gamma operators and a Equivalent Condition of (p,q)-integers [PDF]

, 2016
本文主要研究以下两个方面的内容： （1）在复空间上研究复q-Gamma算子对解析函数的同时逼近阶和Voronovskaya型逼近定理； （2）通过举出反例证明Mursaleen等人得到的(p，q)-算子的收敛性定理是错误的，并给出了一个(p，q)-整数趋于无穷的等价条件.This paper mainly focuses on the following two aspects of content: (1) The order of simultaneous approximation and ...
蔡清波
core  

Modified double Szász-Mirakjan operators preserving $x^{2}+y^{2}$ [PDF]

, 2009
In this paper, we introduce a modification of the Sz\u27{a}sz-Mirakjan type operators of two variables which preserve $f_{0}left( x,yright) =1$ and $% f_{3}left( x,yright) =x^{2}+y^{2}.$ We prove that this type of operators enables a better error ...
Fadime Dirik, Kamil Demirci
core   +1 more source

On the Generalized Baskakov Durrmeyer Operators

Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2019
The main object of this paper is to construct Baskakov Durrmeyer type operators such that their construction depends on a function ρ. Using the weighted modulus of continuity, we show the uniform convergence of the operators. Moreover we obtain pointwise
Gülsüm Ulusoy
doaj   +1 more source

The Lower Estimate for Bernstein Operator [PDF]

, 2013
MSC 2010: 41A10, 41A15, 41A25, 41A36For functions belonging to the classes C2[0; 1] and C3[0; 1], we establish the lower estimate with an explicit constant in approximation by Bernstein polynomials in terms of the second order Ditzian-Totik modulus of ...
Gal, Sorin G., Tachev, Gancho T.
core  

Approximation properties of generalized Baskakov–Schurer–Szasz–Stancu operators preserving e−2ax,a>0 $e^{-2ax}, a>0$

Journal of Inequalities and Applications, 2019
The current paper deals with a modified form of the Baskakov–Schurer–Szasz–Stancu operators which preserve e−2ax $e^{-2ax}$ for a>0 $a>0$. The uniform convergence of the modified operators is shown.
Melek Sofyalıoğlu, Kadir Kanat
doaj   +1 more source

Generalized Szász-Mirakian Type Operators [PDF]

In this paper, we are proposing certain modifications of Szász-Mirakian type operators and study their approximation properties. We also give a Voronovskaya type theorem for these operators.
AGRAWAL, Raksha Rani, GUPTA, Nandita
core   +2 more sources

Approximation by bivariate Bernstein–Kantorovich–Stancu operators that reproduce exponential functions

Journal of Inequalities and Applications
In 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, Kadir Kanat, Melek Sofyalioğlu Aksoy, Merve Kisakol   +3 more
doaj   +1 more source

Approximation by Generalized Lupaş Operators Based on q-Integers

Mathematics, 2020
The purpose of this paper is to introduce q-analogues of generalized Lupaş operators, whose construction depends on a continuously differentiable, increasing, and unbounded function ρ .
Mohd Qasim, M. Mursaleen, Asif Khan, Zaheer Abbas   +3 more
doaj   +1 more source