Voronovskaya theorem for a sequence of positive linear operators related to squared Bernstein polynomials

被引：0
作者：
Adrian Holhoş
机构：
[1] Technical University of Cluj-Napoca,Department of Mathematics
来源：
Positivity | 2019年 / 23卷
关键词：
Voronovskaya formula; Positive linear operators; Squared Bernstein polynomials; Legendre polynomials; 41A20; 41A60;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper we obtain the Voronovskaya formula for the sequence of positive linear operators constructed using the squared Bernstein polynomials.
引用
收藏
页码：571 / 580
页数：9
相关论文
共 13 条
  • [1] Gavrea I(2017)On a new sequence of positive linear operators related to squared Bernstein polynomials Positivity 21 911-917
  • [2] Ivan M(1976)Saturation and inverse theorems for combinations of a class of exponential-type operators Can. J. Math. 28 1224-1250
  • [3] May CP(1978)On a family of approximation operators J. Math. Anal. Appl. 63 446-462
  • [4] Ismail MEH(1998)Integral representations and asymptotic expansions for Shannon and Renyi entropies Appl. Math. Lett. 11 69-74
  • [5] May CP(2014)Inequalities for ultraspherical polynomials. Proof of a conjecture of I. Raşa J. Math. Anal. Appl 418 852-860
  • [6] Knessl C(2018)Bounds for some entropies and special functions Carpathian J. Math. 34 9-15
  • [7] Nikolov G(2015)Entropies and Heun functions associated with positive linear operators Appl. Math. Comput. 268 422-431
  • [8] Bărar A(1968)The degree of convergence of sequences of linear positive operators Proc. Natl. Acad. Sci. USA 60 1196-1200
  • [9] Mocanu GR(undefined)undefined undefined undefined undefined-undefined
  • [10] Raşa I(undefined)undefined undefined undefined undefined-undefined
12