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Volumn 46, Issue 2, 2004, Pages 311-328

An invitation to Hermite's integration and summation: A comparison between Hermite's and Simpson's rules

Author keywords

Euler's constant; Hermite; Numerical integration; Simpson; Stirling; Summation

Indexed keywords

APPROXIMATION THEORY; BESSEL FUNCTIONS; DIFFERENTIAL EQUATIONS; INTEGRAL EQUATIONS; MATHEMATICAL MODELS; PROBABILITY; PROBLEM SOLVING; THEOREM PROVING;

EID: 3142744117     PISSN: 00361445     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036144502416308     Document Type: Article
Times cited : (10)

References (16)
  • 2
    • 23044532295 scopus 로고    scopus 로고
    • An olympiad problem, Euler's sequence, and Stirling's formula
    • A. BENYI, An olympiad problem, Euler's sequence, and Stirling's formula, Fibonacci Quart., 40 (2002), pp. 295-298.
    • (2002) Fibonacci Quart. , vol.40 , pp. 295-298
    • Benyi, A.1
  • 3
    • 0000789812 scopus 로고
    • Partial sums of infinite series, and how they grow
    • R. P. BOAS, JR., Partial sums of infinite series, and how they grow, Amer. Math. Monthly, 84 (1977), pp. 237-258.
    • (1977) Amer. Math. Monthly , vol.84 , pp. 237-258
    • Boas R.P., Jr.1
  • 10
    • 0038414905 scopus 로고    scopus 로고
    • Using Simpson's rule to approximate sums of infinite series
    • R. KREMINSKI, Using Simpson's rule to approximate sums of infinite series, College Math. J., 28 (1997), pp. 368-376.
    • (1997) College Math. J. , vol.28 , pp. 368-376
    • Kreminski, R.1
  • 12
    • 3142778075 scopus 로고    scopus 로고
    • The Euler-Maclaurin and Taylor formulas: Twin elementary derivations
    • V. LAMPRET, The Euler-Maclaurin and Taylor formulas: Twin elementary derivations, Math. Mag., 74 (2001), pp. 109-122.
    • (2001) Math. Mag. , vol.74 , pp. 109-122
    • Lampret, V.1
  • 13
    • 2942583870 scopus 로고
    • Wolfram Research, Inc., Champaign, IL
    • Mathematica, version 5.0, Wolfram Research, Inc., Champaign, IL, 1988-2003.
    • (1988) Mathematica, Version 5.0


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.