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Volumn 306, Issue 2, 2005, Pages 730-739

A family of the Cauchy type mean-value theorems

Author keywords

Cauchy mean value theorem; Jensen's inequality; Lagrange mean value theorem; Newton Cotes quadrature formulas; Riemann Liouville fractional integral and fractional derivative; Trapezoidal rule

Indexed keywords


EID: 22944479595     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmaa.2004.10.018     Document Type: Article
Times cited : (19)

References (6)
  • 1
    • 0004158133 scopus 로고
    • Series on Computer Science and Applied Mathematics second ed. New York: Academic Press
    • P.J. Davis P. Rabinowitz Methods of Numerical Integration second ed. Series on Computer Science and Applied Mathematics 1984 Academic Press New York
    • (1984) Methods of Numerical Integration
    • Davis, P.J.1    Rabinowitz, P.2
  • 2
    • 0347600624 scopus 로고    scopus 로고
    • Some new inequalities involving elementary mean values
    • A.McD. Mercer Some new inequalities involving elementary mean values J. Math. Anal. Appl. 229 1999 677-681
    • (1999) J. Math. Anal. Appl. , vol.229 , pp. 677-681
    • Mercer, A.McD.1
  • 3
    • 0039497083 scopus 로고    scopus 로고
    • An "error term" for the Ky Fan inequality
    • A.McD. Mercer An "error term" for the Ky Fan inequality J. Math. Anal. Appl. 220 1998 774-777
    • (1998) J. Math. Anal. Appl. , vol.220 , pp. 774-777
    • Mercer, A.McD.1
  • 4
    • 14544292835 scopus 로고    scopus 로고
    • Polynomial interpolation and generalizations of mean value theorem
    • J. Pečarić P.J.Y. Wong Polynomial interpolation and generalizations of mean value theorem Nonlinear Funct. Anal. Appl. 6 2001 329-340
    • (2001) Nonlinear Funct. Anal. Appl. , vol.6 , pp. 329-340
    • Pečarić, J.1    Wong, P.J.Y.2
  • 6


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.