On pointwise approximation properties of certain nonlinear Bernstein operators

被引：1

作者：

Altin, H. Erhan ^{[1
]}

机构：

[1] Abant Izzet Baysal Univ, Fac Sci & Arts, Dept Math, TR-14280 Golkoy Bolu, Turkey

来源：

TBILISI MATHEMATICAL JOURNAL | 2019年 / 12卷 / 02期

关键词：

nonlinear Bernstein operators; pointwise convergence; generalized Lebesgue point; CONVERGENCE;

D O I：

10.32513/tbilisi/1561082566

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The present study is concerned with the nonlinear Bernstein type operators NB(n)f, acting on bounded functions, where the kernel function of the operators provide some convenient assumptions. Especially, some pointwise convergence results for these type operators are achieved at a generalized Lebesgue point of the function f.

引用

页码：47 / 58

页数：12

共 12 条

[1]

Bardaro C., 2006, Int. J. Pure Appl. Math, V27, P431

[2]

Bardaro C., 2003, Nonlinear Integral Operators and Applications, VVolume 9, pxii, DOI 10.1515/9783110199277

[3]

Bernstein S.N., 1913, Comm. Soc. Math. Kharkow, V13, P1

[4]

Karsl H., 2006, APPL ANAL, V85, P781

[5]

Karsli H, 2015, B IRAN MATH SOC, V41, P699

[6]

Karsli H., 2008, GEORGIAN MATH J, V15, P77

[7]

Karsli H., 2010, ANAL THEORY APPL, V26, P140

[8] On Convergence of Certain Nonlinear Bernstein Operators [J].

Karsli, Harun ;

Tiryaki, Ismail U. ;

Altin, H. Erhan .

FILOMAT, 2016, 30 (01) :141-155

[9] Some approximation properties of a certain nonlinear Bernstein operators [J].

Karsli, Harun ;

Tiryaki, Ismail U. ;

Altin, H. Erhan .

FILOMAT, 2014, 28 (06) :1295-1305

[10]

Lorentz GG, 2013, Bernstein Polynomials

← 1 2 →