메뉴 건너뛰기




Volumn 7, Issue 1, 2010, Pages 37-49

General Voronovskaya and asymptotic theorems in simultaneous approximation

Author keywords

Asymptotic formula; Bernstein operators; Convex operators; Durrmeyer operators; Simultaneous approximation; Stancu operators; Voronovskaya type theorem

Indexed keywords


EID: 77952056617     PISSN: 16605446     EISSN: 16605454     Source Type: Journal    
DOI: 10.1007/s00009-010-0025-4     Document Type: Article
Times cited : (27)

References (8)
  • 1
    • 0347026242 scopus 로고    scopus 로고
    • Asymptotic approximation by Bernstein-Durrmeyer operators and their derivatives
    • Abel U.: Asymptotic approximation by Bernstein-Durrmeyer operators and their derivatives. Approx. Theory Appl. (N. S.) 16(2), 1-12 (2000).
    • (2000) Approx. Theory Appl. (N.S.) , vol.16 , Issue.2 , pp. 1-12
    • Abel, U.1
  • 2
    • 0346396176 scopus 로고    scopus 로고
    • Asymptotic expansion of the multivariate Bernstein polynomials on a simplex
    • U. Abel andM. Ivan, Asymptotic expansion of the multivariate Bernstein polynomials on a simplex. Approx. Theory Appl. (N. S.) 16 (3) (2000), 85-93.
    • (2000) Approx. Theory Appl. (N.S.) , vol.16 , Issue.3 , pp. 85-93
    • Abel, U.1    Ivan, M.2
  • 3
    • 0010994129 scopus 로고
    • Sur l'approximation de fonctions intégrables sur [0, 1] par des polynômes de Bernstein modifiés
    • M. M. Derriennic, Sur l'approximation de fonctions intégrables sur [0, 1] par des polynômes de Bernstein modifiés. J. Approx. Theory 31 (4) (1981), 325-343.
    • (1981) J. Approx. Theory , vol.31 , Issue.4 , pp. 325-343
    • Derriennic, M.M.1
  • 4
    • 17844389391 scopus 로고    scopus 로고
    • On the convergence of derivatives of Bernstein approximation
    • Floater M.: On the convergence of derivatives of Bernstein approximation. J. Approx. Theory 134, 130-135 (2005).
    • (2005) J. Approx. Theory , vol.134 , pp. 130-135
    • Floater, M.1
  • 5
    • 77952088945 scopus 로고
    • Direct and converse results on simultaneous approximation by the method of Bernstein-Durrmeyer operators
    • J. C. Mason and M. G. Cox eds., Chapman and Hall, London
    • M. Heilmann and M. W. Müller, Direct and converse results on simultaneous approximation by the method of Bernstein-Durrmeyer operators. In: Algorithms for Approximation II, J. C. Mason and M. G. Cox eds., Chapman and Hall, London, 1990, 107-116.
    • (1990) Algorithms for Approximation II , pp. 107-116
    • Heilmann, M.1    Müller, M.W.2
  • 8
    • 0002574123 scopus 로고
    • Asupra unei generalizǎri a polinoamelor lui Bernstein
    • Stancu D. D.: Asupra unei generalizǎri a polinoamelor lui Bernstein. Studia Univ. "Babeş-Bolyai" Ser. Math.-Phys. 14(2), 31-45 (1969).
    • (1969) Studia Univ. "Babeş-Bolyai" Ser. Math.-Phys. , vol.14 , Issue.2 , pp. 31-45
    • Stancu, D.D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.