Results 51 to 60 of about 348 (90)

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

open access: yes, 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  

Some results on Lupaş (p; q)-Bernstein operators and its limit form [PDF]

open access: yes, 2018
In this paper, statistical approximation properties of Lupaş (p; q)-analogue of Bernstein operators are studied. Rate of statistical convergence by means of modulus of continuity and Lipschitz type maximal functions has been investigated.
Khan, Asif, Sharma, Vinita
core   +1 more source

Kantorovich Extension of Parametric Generalized q-Schurer Operators and Their Approximation Properties

open access: yesMathematics
This paper aims to extend, within the context of quantum calculus, the α-Bernstein–Schurer operators (α∈[0,1]) to Kantorovich form. Using the Ditzian–Totik modulus of continuity and the Lipschitz-kind maximal function for our recently extended operators,
Md. Nasiruzzaman, Abdullah Alotaibi
doaj   +1 more source

A de Casteljau Algorithm for Bernstein type Polynomials based on (p; q)-integers [PDF]

open access: yes, 2018
In this paper, a de Casteljau algorithm to compute (p; q)-Bernstein Bezier curves based on (p; q)- integers are introduced. The nature of degree elevation and degree reduction for (p; q)-Bezier Bernstein functions are studied.
Khan, Khalid   +2 more
core   +1 more source

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

On Durrmeyer Type Bernstein-Schurer Operators Defined by $(p, q)$-Integers

open access: yesAnalysis in Theory and Applications
In this paper, we generalize the Durrmeyer-type Bernstein-Schurer operator by applying $(p, q)$-integers and obtain uniform convergence of the operator. Furthermore, we deal with the approximation problems in terms of the modulus of smoothness and ${\rm K}$-functional. Finally, the operator is modified to get better estimation.
Wang, Xuwei, Hu, Xiaomin, Zha, Xingxing
openaire   +1 more source

Statistical approximation to Chlodowsky type q-Bernstein-Schurer-Stancu-Kantorovich operators

open access: yesMathematical Sciences and Applications E-Notes, 2017
In this paper we introduce two kinds of Chlodowsky-type q-Bernstein-Schurer-Stancu- Kantorovich operators on the onbounded domain. The Korovkin type statistical approximation property of these operators are investigated. We investigated the rate of convergence for this approximation by means of the first and the second modulus of continuity.
BAXHAKU, Behar, BERİSHA, Fevzi
openaire   +3 more sources

Complex Perturbed Bernstein-Schurer-Type Operators

open access: yesGazi University Journal of Science
In the present paper, we describe a new generalization of complex Bernstein-Schurer operators. We attain quantitative upper estimates for the convergence, lower estimates from a qualitative Voronovskaya type result and afterwards establish the exact degree of simultaneous approximation by the specified operator attached to analytical functions in a ...
openaire   +1 more source

Approximation properties of q-Kantorovich-Stancu operator [PDF]

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

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