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Volumn 53, Issue 1, 2007, Pages 64-72

New error bounds for the Simpson's quadrature rule and applications

Author keywords

Applications; Improvements; New error bounds; Numerical integration; Simpson's rule

Indexed keywords

FUNCTIONS; INTEGRATION; NUMERICAL METHODS;

EID: 34047268911     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2006.12.008     Document Type: Article
Times cited : (19)

References (11)
  • 1
    • 0035421920 scopus 로고    scopus 로고
    • Three points rules in numerical integration
    • Cerone P. Three points rules in numerical integration. Nonlinear Anal. TMA 47 4 (2001) 2341-2352
    • (2001) Nonlinear Anal. TMA , vol.47 , Issue.4 , pp. 2341-2352
    • Cerone, P.1
  • 2
    • 9644296460 scopus 로고    scopus 로고
    • Sharp error bounds for the trapezoidal rule and Simpson's rule
    • Article 49
    • Cruz-Uribe D., and Neugebauer C.J. Sharp error bounds for the trapezoidal rule and Simpson's rule. J. Inequal. Pure Appl. Math. 3 4 (2002) 1-22 Article 49
    • (2002) J. Inequal. Pure Appl. Math. , vol.3 , Issue.4 , pp. 1-22
    • Cruz-Uribe, D.1    Neugebauer, C.J.2
  • 4
    • 0003127857 scopus 로고    scopus 로고
    • A new generalization of Ostrowski's integral inequality for mappings whose derivatives are bounded and applications in numerical integration and for special means
    • Dragomir S.S., Cerone P., and Roumeliotis J. A new generalization of Ostrowski's integral inequality for mappings whose derivatives are bounded and applications in numerical integration and for special means. Appl. Math. Lett. 13 (2000) 19-25
    • (2000) Appl. Math. Lett. , vol.13 , pp. 19-25
    • Dragomir, S.S.1    Cerone, P.2    Roumeliotis, J.3
  • 5
    • 0034163268 scopus 로고    scopus 로고
    • The unified treatment of trapezoid, Simpson and Ostrowski type inequalities for monotonic mappings and applications
    • Dragomir S.S., Pečarić J., and Wang S. The unified treatment of trapezoid, Simpson and Ostrowski type inequalities for monotonic mappings and applications. Math. Comput. Modelling 31 (2000) 61-70
    • (2000) Math. Comput. Modelling , vol.31 , pp. 61-70
    • Dragomir, S.S.1    Pečarić, J.2    Wang, S.3
  • 6
    • 0001216155 scopus 로고    scopus 로고
    • An inequality of Ostrowski type and its applications for Simpson's rule and special means
    • Fedotov I., and Dragomir S.S. An inequality of Ostrowski type and its applications for Simpson's rule and special means. Math. Inequal. Appl. 2 4 (1999) 491-499
    • (1999) Math. Inequal. Appl. , vol.2 , Issue.4 , pp. 491-499
    • Fedotov, I.1    Dragomir, S.S.2
  • 7
    • 0344896854 scopus 로고    scopus 로고
    • Improvement of some inequalities of Euler-Grüss type
    • Matić M. Improvement of some inequalities of Euler-Grüss type. Comput. Math. Appl. 46 (2003) 1325-1336
    • (2003) Comput. Math. Appl. , vol.46 , pp. 1325-1336
    • Matić, M.1
  • 9
    • 9644275461 scopus 로고    scopus 로고
    • Sharp inequalities of Simpson type and Ostrowski type
    • Ujević N. Sharp inequalities of Simpson type and Ostrowski type. Comput. Math. Appl. 48 (2004) 145-151
    • (2004) Comput. Math. Appl. , vol.48 , pp. 145-151
    • Ujević, N.1
  • 10
    • 22144483662 scopus 로고    scopus 로고
    • A corrected quadrature formula and applications
    • Ujević N., and Roberts A.J. A corrected quadrature formula and applications. ANZIAM J. 45(E) (2004) E41-E56
    • (2004) ANZIAM J. , vol.45 E
    • Ujević, N.1    Roberts, A.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.