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Volumn 2, Issue 1, 2009, Pages 135-150

Asymptotic formulae for bemstein-schnabl operators and smoothness

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EID: 60749134735     PISSN: 19726724     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (9)

References (19)
  • 1
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    • F. ALTOMAKE, Limit semigroups of Bernstein-Schnabl operators associated with positive projections, Ann. Sc. Norm. Sup. Pisa, CI. Sci. (4), 16, n. 2 (1989), 259-279.
    • F. ALTOMAKE, Limit semigroups of Bernstein-Schnabl operators associated with positive projections, Ann. Sc. Norm. Sup. Pisa, CI. Sci. (4), 16, n. 2 (1989), 259-279.
  • 3
    • 48549096315 scopus 로고    scopus 로고
    • On Bernstein-Schnabl operators on the unit interval
    • F. ALTOMARE - V. LEONESSA -I. RASA, On Bernstein-Schnabl operators on the unit interval, J. for Anal. and its Appl., 27, 3 (2008), 353-379.
    • (2008) J. for Anal. and its Appl , vol.27 , Issue.3 , pp. 353-379
    • ALTOMARE, F.1    LEONESSA, V.2    RASA, I.3
  • 4
    • 85158022044 scopus 로고    scopus 로고
    • V. G. AMEL'KOVIC, A theorem converse to a theorem of Voronovskaja type, Teor. Funkcii Funkcional Anal. i Prilozen, 2 (1966), 67-74.
    • V. G. AMEL'KOVIC, A theorem converse to a theorem of Voronovskaja type, Teor. Funkcii Funkcional Anal. i Prilozen, 2 (1966), 67-74.
  • 5
    • 85158002796 scopus 로고    scopus 로고
    • W. ARENDT - A. GRABOSCH - G. GREINER - U. GROH - H. P. LOTZ - U. MOUSTAKAS, R. NAGEL (ed.) - F. NEUBRANDER - U. SCHLOTTERBECK, One-parameter Semigroups of Positive Operators, Lecture Notes in Math., 1184 (Springer-Verlag, Berlin, 1986).
    • W. ARENDT - A. GRABOSCH - G. GREINER - U. GROH - H. P. LOTZ - U. MOUSTAKAS, R. NAGEL (ed.) - F. NEUBRANDER - U. SCHLOTTERBECK, One-parameter Semigroups of Positive Operators, Lecture Notes in Math., 1184 (Springer-Verlag, Berlin, 1986).
  • 6
    • 0000132624 scopus 로고
    • Inverse theorems for Bernstein polynomials
    • H. BERENS - G. G. LORENTZ, Inverse theorems for Bernstein polynomials, Indiana Univ. Math. Journal, 21, no. 8 (1972), 693-708.
    • (1972) Indiana Univ. Math. Journal , vol.21 , Issue.8 , pp. 693-708
    • BERENS, H.1    LORENTZ, G.G.2
  • 8
    • 46149137576 scopus 로고
    • O-semigroups generated by differential operators satisfying Wentcel's boundary conditions
    • O-semigroups generated by differential operators satisfying Wentcel's boundary conditions, Indag. Math., 89 (1986), 379-387.
    • (1986) Indag. Math , vol.89 , pp. 379-387
    • Ph1    Clément, C.2    Timmermans, A.3
  • 9
    • 51649139204 scopus 로고
    • On the degree of approximation by Bernstein polynomials
    • K. DE LEEUW, On the degree of approximation by Bernstein polynomials, J. Analyse Math., 7 (1959), 89-104.
    • (1959) J. Analyse Math , vol.7 , pp. 89-104
    • DE LEEUW, K.1
  • 12
    • 33751502318 scopus 로고
    • Note on a generalized Bohman-Korovkin theorem
    • M. W. GROSSMAN, Note on a generalized Bohman-Korovkin theorem, J. Math. Anal. Appl., 45 (1974), 43-46.
    • (1974) J. Math. Anal. Appl , vol.45 , pp. 43-46
    • GROSSMAN, M.W.1
  • 14
    • 0003707239 scopus 로고
    • 2nd Ed, Chelsea Publ. Comp, New York, N.Y
    • G. G. LORENTZ, Bernstein Polynomials, 2nd Ed., Chelsea Publ. Comp., New York, N.Y., 1986.
    • (1986) Bernstein Polynomials
    • LORENTZ, G.G.1
  • 15
    • 0001476311 scopus 로고
    • The saturation class and iterates of the Bernstein polynomials
    • C. A. MICCHELLI, The saturation class and iterates of the Bernstein polynomials, J. Approx. Theory, 8 (1973), 1-18.
    • (1973) J. Approx. Theory , vol.8 , pp. 1-18
    • MICCHELLI, C.A.1
  • 16
    • 48549100202 scopus 로고
    • Generalized Bernstein operators and convex functions
    • I. RASA, Generalized Bernstein operators and convex functions, Studia Univ. "Babeş-Bolyai", Math., 33, no. 2 (1988), 36-39.
    • (1988) Studia Univ. "Babeş-Bolyai", Math , vol.33 , Issue.2 , pp. 36-39
    • RASA, I.1
  • 17
    • 0037598452 scopus 로고
    • Eine Verallgemeinerung der Bernsteinpolynome
    • R. SCHNABL, Eine Verallgemeinerung der Bernsteinpolynome, Math. Ann., 179 (1968), 74-82.
    • (1968) Math. Ann , vol.179 , pp. 74-82
    • SCHNABL, R.1
  • 19
    • 0002663429 scopus 로고
    • The asymptotic properties of the approximation of functions with Bernstein polynomials
    • E. V. VORONOVSKAJA, The asymptotic properties of the approximation of functions with Bernstein polynomials, Dokl. Akad. Nauk. SSSR, A (1932), 79-85.
    • (1932) Dokl. Akad. Nauk. SSSR, A , pp. 79-85
    • VORONOVSKAJA, E.V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.