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Volumn 25, Issue 1, 2007, Pages 89-107

General results on the convergence of multipoint Hermite-Padé approximants of Nikishin systems

Author keywords

Convergence; Hermite Pad approximation; Nikishin system

Indexed keywords


EID: 33749605485     PISSN: 01764276     EISSN: 14320940     Source Type: Journal    
DOI: 10.1007/s00365-006-0630-y     Document Type: Article
Times cited : (15)

References (14)
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  • 3
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    • Driver, K.1    Stahl, H.2
  • 4
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    • K. DRIVER, H. STAHL (1995): Simultaneous rational approximants to Nikishin systems II. Acta Sci. Math., 61:261-284.
    • (1995) Acta Sci. Math. , vol.61 , pp. 261-284
    • Driver, K.1    Stahl, H.2
  • 6
    • 1942541497 scopus 로고    scopus 로고
    • Hermite-Padé approximants and simultaneous quadraturas formulas
    • U. FIDALGO, J. ILLÁN, G. LÓPEZ LAGOMASINO (2004): Hermite-Padé approximants and simultaneous quadraturas formulas. J. Approx. Theory, 126:171-197.
    • (2004) J. Approx. Theory , vol.126 , pp. 171-197
    • Fidalgo, U.1    Illán, J.2    López Lagomasino, G.3
  • 7
    • 29644438730 scopus 로고    scopus 로고
    • Rate of convergence of generalized Hermite-Padé approximants of Nikishin systems
    • U. FIDALGO, G. LÓPEZ LAGOMASINO (2006): Rate of convergence of generalized Hermite-Padé approximants of Nikishin systems. Constr. Approx., 23:165-196.
    • (2006) Constr. Approx. , vol.23 , pp. 165-196
    • Fidalgo, U.1    López Lagomasino, G.2
  • 8
    • 84956064235 scopus 로고
    • On the convergence of generalized Padé approximants for meromorphic functions
    • A. A. GONCHAR (1975): On the convergence of generalized Padé approximants for meromorphic functions. Math. USSR-Sb., 27:503-514.
    • (1975) Math. USSR-Sb. , vol.27 , pp. 503-514
    • Gonchar, A.A.1
  • 9
    • 33645338835 scopus 로고
    • On Markov's theorem for multipoint Padé approximants
    • A. A. GONCHAR, G. LÓPEZ LAGOMASINO (1978): On Markov's theorem for multipoint Padé approximants. Math. USSR-Sb., 34:449-459.
    • (1978) Math. USSR-Sb. , vol.34 , pp. 449-459
    • Gonchar, A.A.1    López Lagomasino, G.2
  • 10
    • 0003197687 scopus 로고
    • The Markov Moment Problem and Extremal Problems
    • Providence, RI: American Mathematical Society
    • M. G. KREIN, A. A. NUDEL'MAN ( 1977): The Markov Moment Problem and Extremal Problems. Translations of Mathematical Monographs, Vol. 15. Providence, RI: American Mathematical Society.
    • (1977) Translations of Mathematical Monographs , vol.15
    • Krein, M.G.1    Nudel'man, A.A.2
  • 11
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    • Foundations of Modern Potential Theory
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    • N. S. LANDKOF (1972): Foundations of Modern Potential Theory. Grundlehren der Mathematischen Wissenschaften, Vol. 190. New York: Springer-Verlag.
    • (1972) Grundlehren der Mathematischen Wissenschaften , vol.190
    • Landkof, N.S.1
  • 12
    • 0002949925 scopus 로고
    • Deux demonstrations de la convergence de certaine fractions continues
    • A. A. MARKOV (1895): Deux demonstrations de la convergence de certaine fractions continues. Acta Math., 19:93-104.
    • (1895) Acta Math. , vol.19 , pp. 93-104
    • Markov, A.A.1
  • 13
    • 84956237856 scopus 로고
    • On simultaneous Padé approximants
    • E. M. NIKISHIN (1982): On simultaneous Padé approximants. Math. USSR-Sb., 41:409-425.
    • (1982) Math. USSR-Sb. , vol.41 , pp. 409-425
    • Nikishin, E.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.