A note on degenerate Bernstein polynomials

被引：4
作者：
Kim, Taekyun [1 ]
Kim, Dae San [2 ]
Jang, Gwan-Woo [1 ]
Kwon, Jongkyum [3 ,4 ]
机构：
[1] Kwangwoon Univ, Dept Math, Seoul, South Korea
[2] Sogang Univ, Dept Math, Seoul, South Korea
[3] Gyeongsang Natl Univ, Dept Math Educ, Jinju, South Korea
[4] Gyeongsang Natl Univ, ERI, Jinju, South Korea
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2019年 / 2019卷 / 1期
基金：
新加坡国家研究基金会;
关键词：
Degenerate Bernstein polynomials; Degenerate Bernoulli polynomials; Central factorial numbers of the second kind; EULER POLYNOMIALS; IDENTITIES; NUMBERS;
D O I：
10.1186/s13660-019-2071-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Recently, degenerate Bernstein polynomials have been introduced by Kim and Kim. In this paper, we investigate some properties and identities for the degenerate Bernstein polynomials associated with special numbers and polynomials including degenerate Bernstein polynomials and central factorial numbers of the second kind.
引用
收藏
页数：12
相关论文
共 50 条
  • [31] Some identities related to degenerate Bernoulli and degenerate Euler polynomials
    Kim, Taekyun
    Kim, Dae San
    Kim, Wonjoo
    Kwon, Jongkyum
    MATHEMATICAL AND COMPUTER MODELLING OF DYNAMICAL SYSTEMS, 2024, 30 (01) : 882 - 897
  • [32] ON MODIFIED DEGENERATE GENOCCHI POLYNOMIALS AND NUMBERS
    Kwon, Hyuck In
    Jang, Lee-Chae
    Kim, Dae San
    Seo, Jong-Jin
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2017, 23 (03) : 521 - 529
  • [33] Some Identities of Degenerate Bell Polynomials
    Kim, Taekyun
    Kim, Dae San
    Kim, Han Young
    Kwon, Jongkyum
    MATHEMATICS, 2020, 8 (01)
  • [34] Some properties on degenerate Fubini polynomials
    Kim, Taekyun
    Kim, Dae San
    Kim, Hye Kyung
    Lee, Hyunseok
    APPLIED MATHEMATICS IN SCIENCE AND ENGINEERING, 2022, 30 (01): : 235 - 248
  • [35] Degenerate q-Euler polynomials
    Kim, Taekyun
    Kim, Dae San
    Dolgy, Dmitry V.
    ADVANCES IN DIFFERENCE EQUATIONS, 2015,
  • [36] A Note on q-Analogues of Degenerate Catalan-Daehee Numbers and Polynomials
    Khan, Waseem A.
    JOURNAL OF MATHEMATICS, 2022, 2022
  • [37] New Classes of Degenerate Unified Polynomials
    Bedoya, Daniel
    Cesarano, Clemente
    Diaz, Stiven
    Ramirez, William
    AXIOMS, 2023, 12 (01)
  • [38] A Note on Eulerian Polynomials
    Kim, D. S.
    Kim, T.
    Kim, W. J.
    Dolgy, D. V.
    ABSTRACT AND APPLIED ANALYSIS, 2012,
  • [39] Probabilistic identities involving fully degenerate Bernoulli polynomials and degenerate Euler polynomials
    Kim, Taekyun
    Kim, Dae San
    Kwon, Jongkyum
    APPLIED MATHEMATICS IN SCIENCE AND ENGINEERING, 2025, 33 (01):
  • [40] Probabilistic degenerate Bernoulli and degenerate Euler polynomials
    Luo, Lingling
    Kim, Taekyun
    Kim, Dae San
    Ma, Yuankui
    MATHEMATICAL AND COMPUTER MODELLING OF DYNAMICAL SYSTEMS, 2024, 30 (01) : 342 - 363
12345