Rate of approximation of blending type modified univariate and bivariate λ-Schurer-Kantorovich operators

被引:33
作者
Aslan, Resat [1 ]
机构
[1] Van Yuzuncu Yil Univ, Fac Sci, Dept Math, TR-65080 Van, Turkiye
关键词
lambda- Bernstein operators; Be ' zier curves; Peetre'sK-Functional; Modulus of continuity; Rate of approximation;
D O I
10.1016/j.kjs.2023.12.007
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
In this work, we investigate some approximation properties of blending type univariate and bivariate SchurerKantorovich operators based on shape parameter lambda is an element of [-1, 1]. We evaluate some moment estimates and obtain several direct theorems. Next, we construct the bivariate version of proposed operators and compute rate of approximation with the partial and complete modulus of continuity. Moreover, we present certain graphical and numerical results for univariate and bivariate versions of these operators.
引用
收藏
页数:7
相关论文
共 24 条
[1]   Approximation properties of λ-Kantorovich operators [J].
Acu, Ana-Maria ;
Manav, Nesibe ;
Sofonea, Daniel Florin .
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018,
[2]  
Ansari KJ, 2022, COMPUT APPL MATH, V41, DOI 10.1007/s40314-022-01877-4
[3]   Approximation by One and Two Variables of the Bernstein-Schurer-Type Operators and Associated GBS Operators on Symmetrical Mobile Interval [J].
Aslan, Resat ;
Izgi, Aydin .
JOURNAL OF FUNCTION SPACES, 2021, 2021
[4]  
Bernstein S.N., 1912, Commun Kharkov Math Soc, V12, P1
[5]  
Braha NL, 2021, J APPL MATH COMPUT, V65, P125, DOI 10.1007/s12190-020-01384-x
[6]   Statistical Blending-Type Approximation by a Class of Operators That Includes Shape Parameters λ and α [J].
Cai, Qing-Bo ;
Ansari, Khursheed J. ;
Ersoy, Merve Temizer ;
Ozger, Faruk .
MATHEMATICS, 2022, 10 (07)
[7]   On a New Construction of Generalized q-Bernstein Polynomials Based on Shape Parameter λ [J].
Cai, Qing-Bo ;
Aslan, Resat .
SYMMETRY-BASEL, 2021, 13 (10)
[8]   Approximation properties of λ-Bernstein operators [J].
Cai, Qing-Bo ;
Lian, Bo-Yong ;
Zhou, Guorong .
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018,
[9]   Note on a New Construction of Kantorovich Form q-Bernstein Operators Related to Shape Parameter λ [J].
Cai, Qingbo ;
Aslan, Resat .
CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 2022, 130 (03) :1479-1493
[10]  
DeVore R.A., 1993, Constructive Approximation