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Volumn 31, Issue 10, 1996, Pages 31-44

Simultaneous approximation of the Feller operator

Author keywords

Feller operator; Probabilistic method; Simultaneous approximation

Indexed keywords

APPROXIMATION THEORY; PROBABILITY;

EID: 0030145243     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/0898-1221(96)00050-8     Document Type: Article
Times cited : (1)

References (16)
  • 2
    • 84972500853 scopus 로고
    • A note on stochastic methods in connection with approximation theorems for positive linear operators
    • L. Hahn, A note on stochastic methods in connection with approximation theorems for positive linear operators, Pacific J. Math. 101, 307-319 (1981).
    • (1981) Pacific J. Math. , vol.101 , pp. 307-319
    • Hahn, L.1
  • 3
    • 0002723826 scopus 로고
    • On the rate of convergence of Bernstein power series for functions of bounded variation
    • M.K. Khan, On the rate of convergence of Bernstein power series for functions of bounded variation, J. Approx. Theory 57, 90-103 (1989).
    • (1989) J. Approx. Theory , vol.57 , pp. 90-103
    • Khan, M.K.1
  • 4
    • 0000543985 scopus 로고
    • Some probabilistic methods in the theory of approximation operators
    • R.A. Khan, Some probabilistic methods in the theory of approximation operators, Acta Math. Acad. Sci. Hungar. 35, 193-203 (1980).
    • (1980) Acta Math. Acad. Sci. Hungar. , vol.35 , pp. 193-203
    • Khan, R.A.1
  • 5
    • 0001764287 scopus 로고
    • Use of probabilistic methods in the theory of uniform approximation of continuous functions
    • D. Stancu, Use of probabilistic methods in the theory of uniform approximation of continuous functions, Rev. Roum. Math. Pures et Appl. 14, 673-691 (1969).
    • (1969) Rev. Roum. Math. Pures et Appl. , vol.14 , pp. 673-691
    • Stancu, D.1
  • 6
    • 30244467191 scopus 로고
    • The best asymptotic constant of a class of approximation operators
    • X. Xiong, The best asymptotic constant of a class of approximation operators, J. Approx. Theory 70, 348-357 (1992).
    • (1992) J. Approx. Theory , vol.70 , pp. 348-357
    • Xiong, X.1
  • 8
    • 0000182415 scopus 로고
    • A measure of asymptotic efficiency for tests of a hypothesis based on the sum of observations
    • H. Chernoff, A measure of asymptotic efficiency for tests of a hypothesis based on the sum of observations, Ann. Math. Stat. 23, 493-507 (1952).
    • (1952) Ann. Math. Stat. , vol.23 , pp. 493-507
    • Chernoff, H.1
  • 9
    • 0001423701 scopus 로고
    • Approximation-theoretic aspects of probabilistic representations for operator semigroups
    • D. Pfeifer, Approximation-theoretic aspects of probabilistic representations for operator semigroups, J. Approx. Theory 43, 271-296 (1985).
    • (1985) J. Approx. Theory , vol.43 , pp. 271-296
    • Pfeifer, D.1
  • 11
    • 0040277017 scopus 로고
    • Quantitative Korovkin type theorems on simultaneous approximation
    • H.H. Gonska, Quantitative Korovkin type theorems on simultaneous approximation, Math. Z. 186, 419-433 (1984).
    • (1984) Math. Z. , vol.186 , pp. 419-433
    • Gonska, H.H.1
  • 12
    • 11544310925 scopus 로고
    • On the approximation of functions together with their derivatives by certain linear positive operators
    • R. Martini, On the approximation of functions together with their derivatives by certain linear positive operators, Indag. Math. 31, 473-481 (1969).
    • (1969) Indag. Math. , vol.31 , pp. 473-481
    • Martini, R.1
  • 13
    • 30244522590 scopus 로고
    • On simultaneous approximation by Szász-Mirakian operators
    • P.N. Agrawal and H.S. Kasana, On simultaneous approximation by Szász-Mirakian operators, Bull. Inst. Math. Academia Sinica 22, 181-188 (1994).
    • (1994) Bull. Inst. Math. Academia Sinica , vol.22 , pp. 181-188
    • Agrawal, P.N.1    Kasana, H.S.2
  • 14
    • 84968503814 scopus 로고
    • On the extension of Bernstein polynomials to the infinite interval
    • P.L. Butzer, On the extension of Bernstein polynomials to the infinite interval, Proc. Amer. Math. Soc. 5, 547-553 (1954).
    • (1954) Proc. Amer. Math. Soc. , vol.5 , pp. 547-553
    • Butzer, P.L.1
  • 15
    • 30244540685 scopus 로고
    • On simultaneous approximation by certain linear positive operators
    • H.-B. Knoop and P. Pottinger, On simultaneous approximation by certain linear positive operators, Arch. Math. 48, 511-520 (1987).
    • (1987) Arch. Math. , vol.48 , pp. 511-520
    • Knoop, H.-B.1    Pottinger, P.2
  • 16
    • 0011460526 scopus 로고
    • Lipschitz-Nikolkii constants for the gamma operators of Müller
    • R.K.S. Rathore, Lipschitz-Nikolkii constants for the Gamma operators of Müller, Math. Z. 141, 193-198 (1975).
    • (1975) Math. Z. , vol.141 , pp. 193-198
    • Rathore, R.K.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.