메뉴 건너뛰기




Volumn 5, Issue 2, 2003, Pages 196-235

Optimal constant in approximation by Bernstein operators

Author keywords

Bernstein operators; Second order modulus

Indexed keywords

APPROXIMATION THEORY; FUNCTIONS; POLYNOMIALS; SET THEORY; THEOREM PROVING;

EID: 3543068113     PISSN: 15211398     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (8)

References (23)
  • 1
    • 3543053326 scopus 로고
    • On a certain method for approximation of bounded functions, given on an segment (Russian)
    • Studies in Contemporary Problems in Constructive Theory of Functions(Proc. Second All-Union Conf. Baku 1962; ed. by I.I. Ibragimov)
    • Yu. A. Brudnyi, On a certain method for approximation of bounded functions, given on an segment (Russian), In: "Studies in Contemporary Problems in Constructive Theory of Functions" (Proc. Second All-Union Conf. Baku 1962; ed. by I.I. Ibragimov), Baku: Izdat. Akad. Nauk Azerbaidžan, 40-45 (1965).
    • (1965) Baku: Izdat. Akad. Nauk Azerbaidžan , pp. 40-45
    • Brudnyi, Yu.A.1
  • 2
    • 3543086085 scopus 로고
    • On linear approximation methods (in Chinese)
    • Jia-ding Cao, On linear approximation methods (in Chinese), Acta Sci. Natur. Univ. Fudan 9, 43-52 (1964).
    • (1964) Acta Sci. Natur. Univ. Fudan , vol.9 , pp. 43-52
    • Cao, J.-D.1
  • 3
    • 3543070957 scopus 로고
    • Über die asymptotisch beste Approximation stetiger Functionen mit Hilfe von Bernstein-Polynomen
    • C. G. Esseen, Über die asymptotisch beste Approximation stetiger Functionen mit Hilfe von Bernstein-Polynomen, Numer. Math. 2, 206-213 (1960).
    • (1960) Numer. Math. , vol.2 , pp. 206-213
    • Esseen, C.G.1
  • 5
    • 0347539083 scopus 로고
    • Two problems on best constants in direct estimates
    • (Z. Ditzian et al eds.), 194 Providence, RI. Amer Math Soc
    • H. Gonska, Two problems on best constants in direct estimates, Problem Section of Proc. Edmonton Conf. Approximation Theory (Z. Ditzian et al eds.), 194 Providence, RI. Amer Math Soc. (1983).
    • (1983) Problem Section of Proc. Edmonton Conf. Approximation Theory
    • Gonska, H.1
  • 6
    • 0009134015 scopus 로고
    • The second order modulus revisited: Remarks, applications, problems
    • H. Gonska and R. K. Kovacheva, The second order modulus revisited: remarks, applications, problems, Conf. Sem. Mat. Univ. Bari 257, 1-32 (1994).
    • (1994) Conf. Sem. Mat. Univ. Bari , vol.257 , pp. 1-32
    • Gonska, H.1    Kovacheva, R.K.2
  • 7
    • 3543148201 scopus 로고
    • On approximation by Bernstein type operators: Best constants
    • H. Gonska and J. Meier, On approximation by Bernstein type operators: best constants, Studio Sci. Matyh. Hungar. 22. 287-297 (1987).
    • (1987) Studio Sci. Matyh. Hungar. , vol.22 , pp. 287-297
    • Gonska, H.1    Meier, J.2
  • 8
    • 0347539080 scopus 로고
    • On an extremal problem concerning Bernstein operators
    • H. Gonska and D-x Zhou, On an extremal problem concerning Bernstein operators, Serdica Math. J. 137-150 (1995).
    • (1995) Serdica Math. J. , pp. 137-150
    • Gonska, H.1    Zhou, D.-X.2
  • 9
    • 0346849346 scopus 로고
    • Polynomial approximation with side conditions: Recent results and open problems
    • (D. Bainov and V. Covachev eds.), Zeist/The Nederlands: VPS International Science Publishers
    • H. Gonska and X-l. Zhou. Polynomial approximation with side conditions: recent results and open problems, In, Proc. of the First International Colloquim on Numerical Analysys (Plovdiv (1992), (D. Bainov and V. Covachev eds.), 61-71, Zeist/The Nederlands: VPS International Science Publishers, 1993
    • (1993) Proc. of the First International Colloquim on Numerical Analysys Plovdiv (1992) , pp. 61-71
    • Gonska, H.1    Zhou, X.-L.2
  • 10
    • 0348168889 scopus 로고    scopus 로고
    • Approximation by means of piecewise linear functions
    • D. K. Kacsó, Approximation by means of piecewise linear functions, Result Math. 35, 89-102 (1999).
    • (1999) Result Math. , vol.35 , pp. 89-102
    • Kacsó, D.K.1
  • 11
  • 13
    • 3543113061 scopus 로고
    • General estimates for linear positive operators that preserve linear functions
    • R. Pǎltǎnea, General estimates for linear positive operators that preserve linear functions, Anal. Numér. Théor. Approx. 18(2), 147-159 (1989).
    • (1989) Anal. Numér. Théor. Approx. , vol.18 , Issue.2 , pp. 147-159
    • Pǎltǎnea, R.1
  • 14
    • 85053845754 scopus 로고
    • On the estimate of the pointwise approximation of functions by linear positive functionals
    • R. Pǎltǎnea, On the estimate of the pointwise approximation of functions by linear positive functionals, Studia Univ. Babeş-Bolyai, 53(1), 11-24 (1990).
    • (1990) Studia Univ. Babeş-Bolyai , vol.53 , Issue.1 , pp. 11-24
    • Pǎltǎnea, R.1
  • 15
    • 0346908267 scopus 로고
    • Best constant in estimates with second order moduli of continuity
    • Approximation Theory M. W. Müller et al. eds., Akad Verlag, Berlin
    • R. Pǎltǎnea, Best constant in estimates with second order moduli of continuity, In, Approximation Theory. (Proc. Int. Dortmund Meeting on Approximation Theory 1995, M. W. Müller et al. eds.), Akad Verlag, Berlin 1995, pp. 251-275
    • (1995) Proc. Int. Dortmund Meeting on Approximation Theory 1995 , pp. 251-275
    • Pǎltǎnea, R.1
  • 16
    • 3543099076 scopus 로고    scopus 로고
    • New second order moduli of continuity
    • Approximation and optimization D. D. Stancu et al. eds., Transilvania Press, Cluj-Napoca
    • R. Pǎltǎnea, New second order moduli of continuity, in, Approximation and optimization (Proc. Int. Conf. Approximation and Optimization, Cluj-Napoca 1996, D. D. Stancu et al. eds.), vol I, Transilvania Press, Cluj-Napoca 1997, pp. 327-334.
    • (1997) Proc. Int. Conf. Approximation and Optimization, Cluj-napoca 1996 , vol.1 , pp. 327-334
    • Pǎltǎnea, R.1
  • 17
    • 3543059211 scopus 로고    scopus 로고
    • Optimal estimates with moduli of continuity
    • R. Pǎltǎnea, Optimal estimates with moduli of continuity, Result. Math 32, 318-331 (1997).
    • (1997) Result. Math , vol.32 , pp. 318-331
    • Pǎltǎnea, R.1
  • 18
    • 3543116540 scopus 로고    scopus 로고
    • On an optimal constant in approximation by Bernstein operators
    • R. Pǎltǎnea, On an optimal constant in approximation by Bernstein operators, Rend. Circ. Mat. Palermo (2), suppl. 52. 663-686 (1998)
    • (1998) Rend. Circ. Mat. Palermo , vol.2 , Issue.SUPPL. 52 , pp. 663-686
    • Pǎltǎnea, R.1
  • 20
    • 0002859272 scopus 로고
    • Sur l'approximation des fonctions convexes d'ordre supérieur
    • T. Popoviciu, Sur l'approximation des fonctions convexes d'ordre supérieur, Mathematica (Cluj) 10, 49-54 (1935)
    • (1935) Mathematica (Cluj) , vol.10 , pp. 49-54
    • Popoviciu, T.1
  • 21
    • 3543062720 scopus 로고
    • Über den Grad der Approximation mit Bernstein-Polynomen
    • P. C. Sikkema, Über den Grad der Approximation mit Bernstein-Polynomen, Numerische Math. 1, 221-239 (1959).
    • (1959) Numerische Math. , vol.1 , pp. 221-239
    • Sikkema, P.C.1
  • 22
    • 3543063910 scopus 로고
    • Der Wert einiger Konstanten in der Theorie der Approximation mit Bernstein-Polynomen
    • P. C. Sikkema, Der Wert einiger Konstanten in der Theorie der Approximation mit Bernstein-Polynomen, Numerische Math. 3, 107-116 (1961).
    • (1961) Numerische Math. , vol.3 , pp. 107-116
    • Sikkema, P.C.1
  • 23
    • 84909470921 scopus 로고
    • 1[0, 1] by Bernstein polynomials
    • Onderafdeling der Wiskunde, Technische Hogeschool Eindhoven
    • 1[0, 1] by Bernstein polynomials, Th-Report 75-WSK-07 (Onderafdeling der Wiskunde, Technische Hogeschool Eindhoven) 1975.
    • (1975) Th-Report 75-WSK-07
    • Schurer, F.1    Steutel, F.W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.