메뉴 건너뛰기




Volumn 7, Issue 3, 2006, Pages

Generalizations of the trapezoid inequalities based on a new mean value theorem for the remainder in Taylor's formula

Author keywords

Classical trapezoid inequality; Generalizations; Mean value theorem; Perturbed trapezoid inequality

Indexed keywords


EID: 33749425674     PISSN: 14435756     EISSN: 14435756     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (15)

References (16)
  • 1
    • 33646426698 scopus 로고    scopus 로고
    • On the perturbed trapezoid formula
    • N.S. BARNETT AND S.S. DRAGOMIR, On the perturbed trapezoid formula, Tamkang J. Math., 33(2) (2002), 119-128.
    • (2002) Tamkang J. Math. , vol.33 , Issue.2 , pp. 119-128
    • Barnett, N.S.1    Dragomir, S.S.2
  • 2
    • 33749433329 scopus 로고    scopus 로고
    • A perturbed trapezoid inequality in terms of the third derivative and Applications
    • Art. 6
    • N.S. BARNETT AND S.S. DRAGOMIR, A perturbed trapezoid inequality in terms of the third derivative and Applications, RGMIA Research Report Collection, 4(2) (2001), Art. 6.
    • (2001) RGMIA Research Report Collection , vol.4 , Issue.2
    • Barnett, N.S.1    Dragomir, S.S.2
  • 3
    • 33749452794 scopus 로고    scopus 로고
    • Applications of Ostrowski's version of the Grüss inequality for trapezoid type rules
    • Art. 6
    • N.S. BARNETT AND S.S. DRAGOMIR, Applications of Ostrowski's version of the Grüss inequality for trapezoid type rules, RGMIA Research Report Collection, 5(4) (2002), Art. 6.
    • (2002) RGMIA Research Report Collection , vol.5 , Issue.4
    • Barnett, N.S.1    Dragomir, S.S.2
  • 4
    • 0036650605 scopus 로고    scopus 로고
    • Generalized trapezoid type inequalities for vector-valued functions and applications
    • C. BUSE, S.S. DRAGOMIR, J. ROUMELIOTIS AND A. SOFO, Generalized trapezoid type inequalities for vector-valued functions and applications, Math. Ineq. & Appl., 5(3) (2002), 435-450.
    • (2002) Math. Ineq. & Appl. , vol.5 , Issue.3 , pp. 435-450
    • Buse, C.1    Dragomir, S.S.2    Roumeliotis, J.3    Sofo, A.4
  • 5
    • 33749449388 scopus 로고    scopus 로고
    • Three point identities and inequalities for n-time differentiate functions
    • P. CERONE AND S.S. DRAGOMIR, Three point identities and inequalities for n-time differentiate functions, SUT Journal of Mathematics, 36(2) (2000), 351-383.
    • (2000) SUT Journal of Mathematics , vol.36 , Issue.2 , pp. 351-383
    • Cerone, P.1    Dragomir, S.S.2
  • 6
    • 0002981383 scopus 로고    scopus 로고
    • Trapezoidal type rules from an inequalities point of view
    • G. Anastassiou (Ed.), CRC press, N.Y.
    • P. CERONE AND S.S. DRAGOMIR, Trapezoidal type rules from an inequalities point of view, Analytic Computational Methods in Applied Mathematics, G. Anastassiou (Ed.), CRC press, N.Y., 2000, 65-134.
    • (2000) Analytic Computational Methods in Applied Mathematics , pp. 65-134
    • Cerone, P.1    Dragomir, S.S.2
  • 7
    • 0242350272 scopus 로고    scopus 로고
    • A new generalization of the trapezoid formula for n-time differentiable mappings and applications
    • P. CERONE, S.S. DRAGOMIR, J. ROUMELIOTIS AND J. SUNDE, A new generalization of the trapezoid formula for n-time differentiable mappings and applications, Demonstratio Mathematica, 33(4) (2000), 719-736.
    • (2000) Demonstratio Mathematica , vol.33 , Issue.4 , pp. 719-736
    • Cerone, P.1    Dragomir, S.S.2    Roumeliotis, J.3    Sunde, J.4
  • 8
    • 20344371781 scopus 로고    scopus 로고
    • A note on the perturbed trapezoid inequality
    • Art. 29
    • XIAO-LIANG CHENG AND JIE SUN, A note on the perturbed trapezoid inequality, J. In-equal. Pure and Appl. Math., 3(2) (2002), Art. 29. [ONLINE: http://jipam.vu.edu.au/ article.php?sid=181.
    • (2002) J. In-equal. Pure and Appl. Math. , vol.3 , Issue.2
    • Cheng, X.-L.1    Sun, J.2
  • 9
    • 33749444561 scopus 로고    scopus 로고
    • A generalised trapezoid type inequality for convex functions
    • Art. 9
    • S.S. DRAGOMIR, A generalised trapezoid type inequality for convex functions, RGMIA Research Report Collection, 5(1) (2002), Art. 9.
    • (2002) RGMIA Research Report Collection , vol.5 , Issue.1
    • Dragomir, S.S.1
  • 10
    • 0034346857 scopus 로고    scopus 로고
    • Some remarks on the trapezoid rule in numerical integration
    • S.S. DRAGOMIR, P. CERONE AND A. SOFO, Some remarks on the trapezoid rule in numerical integration, Indian J. Pure Appl. Math., 31(5) (2000), 475-494.
    • (2000) Indian J. Pure Appl. Math. , vol.31 , Issue.5 , pp. 475-494
    • Dragomir, S.S.1    Cerone, P.2    Sofo, A.3
  • 11
    • 0242317230 scopus 로고    scopus 로고
    • On trapezoid inequality via a Grüss type result and applications
    • S.S. DRAGOMIR AND A. MCANDREW, On trapezoid inequality via a Grüss type result and applications, Tamkang J. Math., 31(3) (2000), 193-201.
    • (2000) Tamkang J. Math. , vol.31 , Issue.3 , pp. 193-201
    • Dragomir, S.S.1    Mcandrew, A.2
  • 14
    • 33744488094 scopus 로고    scopus 로고
    • On perturbed mid-point and trapezoid inequalities and applications
    • N. UJEVIĆ, On perturbed mid-point and trapezoid inequalities and applications, Kyungpook Math. J., 43 (2003), 327-334.
    • (2003) Kyungpook Math. J. , vol.43 , pp. 327-334
    • Ujević, N.1
  • 15
    • 1242352514 scopus 로고    scopus 로고
    • A generalization of Ostrowski's inequality and applications in numerical integration
    • N. UJEVIĆ, A generalization of Ostrowski's inequality and applications in numerical integration, Appl. Math. Lett., 17 (2004), 133-137.
    • (2004) Appl. Math. Lett. , vol.17 , pp. 133-137
    • Ujević, N.1
  • 16
    • 27644569747 scopus 로고    scopus 로고
    • Error inequalities for a generalized trapezoid rule
    • N. UJEVIĆ, Error inequalities for a generalized trapezoid rule, Appl. Math. Lett., 19 (2006), 32-37.
    • (2006) Appl. Math. Lett. , vol.19 , pp. 32-37
    • Ujević, N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.