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Volumn 36, Issue 2, 2000, Pages 351-383

Three point identities and inequalities for n-time differentiable functions

Author keywords

Newton cotes quadrature; Ostrowski and grass inequalities; Three point identities and inequalities

Indexed keywords


EID: 33749449388     PISSN: 09165746     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (11)

References (36)
  • 2
    • 0003294856 scopus 로고    scopus 로고
    • Three point quadrature rules involving, at most, a first derivative
    • submitted, Article 8. [ONLINE]
    • P. CERONE and S. S. DRAGOMIR, Three point quadrature rules involving, at most, a first derivative, submitted, RGMIA Res. Rep. Coll., 4, 2(1999), Article 8. [ONLINE] http://rgmia.vu.edu.au/v2n4.html
    • RGMIA Res. Rep. Coll , vol.4 , Issue.2 , pp. 1999
    • Cerone, P.1    Dragomir, S.S.2
  • 3
    • 0002981383 scopus 로고    scopus 로고
    • Trapezoidal type rules from an inequalities point of view, Accepted for publication
    • G.A. Anastassiou (Ed), CRC Press, New York
    • P. CERONE and S. S. DRAGOMIR, Trapezoidal type rules from an inequalities point of view, Accepted for publication in Analytic-Computational Methods in Applied Mathematics, G.A. Anastassiou (Ed), CRC Press, New York.
    • Analytic-Computational Methods in Applied Mathematics
    • Cerone, P.1    Dragomir, S.S.2
  • 4
    • 0002981383 scopus 로고    scopus 로고
    • Midpoint type rules from an inequalities point of view, Accepted for publication
    • G.A. Anastassiou (Ed), CRC Press, New York
    • P. CERONE and S. S. DRAGOMIR, Midpoint type rules from an inequalities point of view, Accepted for publication in Analytic-Computational Methods in Applied Mathematics, G.A. Anastassiou (Ed), CRC Press, New York.
    • Analytic-Computational Methods In Applied Mathematics
    • Cerone, P.1    Dragomir, S.S.2
  • 5
    • 0005360397 scopus 로고    scopus 로고
    • An inequality of Ostrowski type for mappings whose second derivatives are bounded and applications
    • Preprint, Article 4, 1998. [ONLINE]
    • P. CERONE, S. S. DRAGOMIR and J. ROUMELIOTIS, An inequality of Ostrowski type for mappings whose second derivatives are bounded and applications, Preprint. RGMIA Res. Rep Coll., 1(1) (1998), Article 4, 1998. [ONLINE] http://rgmia.vu.edu.au/vlnl.html
    • (1998) RGMIA Res. Rep Coll , vol.1 , Issue.1
    • Cerone, P.1    Dragomir, S.S.2    Roumeliotis, J.3
  • 6
    • 0005360397 scopus 로고    scopus 로고
    • An inequality of Ostrowski-Griiss type for twice differentiable mappings and applications
    • Preprint, Article 8, 1998. [ONLINE]
    • P. CERONE, S. S. DRAGOMIR and J. ROUMELIOTIS, An inequality of Ostrowski-Griiss type for twice differentiable mappings and applications, Preprint. RGMIA Res. Rep Coll., 1(2) (1998), Article 8, 1998. [ONLINE] http://rgmia.vu.edu.au/vln2.html
    • (1998) RGMIA Res. Rep Coll , vol.1 , Issue.2
    • Cerone, P.1    Dragomir, S.S.2    Roumeliotis, J.3
  • 7
    • 0005360397 scopus 로고    scopus 로고
    • p (a, b) and applications
    • Preprint, Article 5, 1998. [ONLINE]
    • P. CERONE, S. S. DRAGOMIR and J. ROUMELIOTIS, An Ostrowski type inequality for mappings whose second derivatives belong to Lp (a, b) and applications, Preprint. RGMIA Res. Rep Coll., 1(1) (1998). Article 5, 1998. [ONLINE] http://rgmia.vu.edu.au/vlnl.html
    • (1998) RGMIA Res. Rep Coll , vol.1 , Issue.1
    • Cerone, P.1    Dragomir, S.S.2    Roumeliotis, J.3
  • 8
    • 84857700627 scopus 로고    scopus 로고
    • 1 (a, b) and applications
    • Preprint. RGMIÄ Res. Rep Coll., 1(2), Article 7, 1998. [ONLINE]
    • P. CERONE, S. S. DRAGOMIR and J. ROUMELIOTIS, On Ostrowski type for mappings whose second derivatives belong to L1 (a, b) and applications, Honam Math. J., 21 (1999), No. 1, 122-132. Preprint. RGMIÄ Res. Rep Coll., 1(2), Article 7, 1998. [ONLINE] http://rgmia.vu.edu.au/vln2.html
    • (1999) Honam Math. J , vol.21 , Issue.1 , pp. 122-132
    • Cerone, P.1    Dragomir, S.S.2    Roumeliotis, J.3
  • 9
    • 0005360397 scopus 로고    scopus 로고
    • Some Ostrowski type inequalities for n-time differentiable mappings and applications
    • Preprint, [ONLINE]
    • P. CERONE, S. S. DRAGOMIR and J. ROUMELIOTIS, Some Ostrowski type inequalities for n-time differentiable mappings and applications, Preprint. RGMIÄ Res. Rep Coll., 1 (2) (1998), 51-66. [ONLINE] http://rgmia.vu.edu.au/vln2.html
    • (1998) RGMIÄ Res. Rep Coll , vol.1 , Issue.2 , pp. 51-66
    • Cerone, P.1    Dragomir, S.S.2    Roumeliotis, J.3
  • 10
    • 84857713864 scopus 로고    scopus 로고
    • A new generalization of the trapezoid formula for n-time differentiable mappings and applications
    • Article 7, 1999. [ONLINE]
    • R CERONE, S.S. DRAGOMIR, J. ROUMELIOTIS and J. SUNDE, A new generalization of the trapezoid formula for n-time differentiable mappings and applications, RGMIA Res. Rep. Coll., 2 (5) Article 7, 1999. [ONLINE] http://rgmia.vu.edu.au/v2n5.html
    • RGMIA Res. Rep. Coll , vol.2 , Issue.5
    • Cerone, R.1    Dragomir, S.S.2    Roumeliotis, J.3    Sunde, J.4
  • 11
    • 0002500885 scopus 로고    scopus 로고
    • A Grüss type integral inequality for mappings of r-Hölder's type and applications for trapezoid formula
    • accepted
    • S.S. DRAGOMIR, A Grüss type integral inequality for mappings of r-Hölder's type and applications for trapezoid formula, Tamkang Journal of Mathematics, accepted, 1999.
    • (1999) Tamkang Journal of Mathematics
    • Dragomir, S.S.1
  • 13
    • 0002358754 scopus 로고    scopus 로고
    • Grüss inequality in inner product spaces
    • [ONLINE]
    • S.S. DRAGOMIR, Grüss inequality in inner product spaces, The Australian Math. Gazette, 26 (2), 66-70, 1999. [ONLINE] http://rgmia.vu.edu.au/v2n5.html
    • (1999) The Australian Math. Gazette , vol.26 , Issue.2 , pp. 66-70
    • Dragomir, S.S.1
  • 14
    • 0001116105 scopus 로고    scopus 로고
    • New estimation of the remainder in Taylor's formula using Grüss' type inequalities and applications
    • S.S. DRAGOMIR, New estimation of the remainder in Taylor's formula using Grüss' type inequalities and applications, Mathematical Inequalities and Applications, 2, 2 (1999), 183-194.
    • (1999) Mathematical Inequalities and Applications , vol.2 , Issue.2 , pp. 183-194
    • Dragomir, S.S.1
  • 15
    • 84857779121 scopus 로고    scopus 로고
    • Some integral inequalities of Grüss type
    • accepted, [ONLINE]
    • S.S. DRAGOMIR, Some integral inequalities of Grüss type, Indian J. of Pure and Appl. Math., accepted, 1999. [ONLINE] http://rgmia.vu.edu.au/vln2.html
    • (1999) Indian J. of Pure and Appl. Math
    • Dragomir, S.S.1
  • 16
    • 17644376305 scopus 로고    scopus 로고
    • An Ostrowski type inequality for mappings whose second derivatives are bounded and applications
    • Preprint, Article 9, 1998, [ONLINE]
    • S.S. DRAGOMIR and N. S. BARNETT, An Ostrowski type inequality for mappings whose second derivatives are bounded and applications, Preprint. RGMIA Res. Rep Coll., 1(2) (1998), Article 9, 1998. [ONLINE] http://rgmia.vu.edu.au/vln2.html
    • (1998) RGMIA Res. Rep Coll , vol.1 , Issue.2
    • Dragomir, S.S.1    Barnett, N.S.2
  • 18
    • 84900030485 scopus 로고    scopus 로고
    • Some remarks on the trapezoid rule in numerical integration
    • (in press), Preprint: RGMIA Res. Rep. Coll., 2(5), Article 1, 1999. [ONLINE]
    • S.S. DRAGOMIR, P. CERONE and A. SOFO, Some remarks on the trapezoid rule in numerical integration, Indian J. of Pure and Appl. Math., (in press), 1999. Preprint: RGMIA Res. Rep. Coll., 2(5), Article 1, 1999. [ONLINE] http://rgmia.vu.edu.au/v2n5.html
    • (1999) Indian J. of Pure and Appl. Math
    • Dragomir, S.S.1    Cerone, P.2    Sofo, A.3
  • 19
    • 0345784876 scopus 로고    scopus 로고
    • Some remarks on the Milovanovicć- Pečarić Inequality and in Applications for special means and numerical integration
    • S.S. DRAGOMIR, Y.J. CHO and S.S. KIM, Some remarks on the Milovanovicć- Pečarić Inequality and in Applications for special means and numerical integration., Tamkang Journal of Mathematics, 30 (1999), No. 3, 203-211.
    • (1999) Tamkang Journal of Mathematics , vol.30 , Issue.3 , pp. 203-211
    • Dragomir, S.S.1    Cho, Y.J.2    Kim, S.S.3
  • 20
    • 0005340499 scopus 로고    scopus 로고
    • The Unified treatment of trapezoid, Simpson and Ostrowski type inequality for monotonic mappings and applications
    • Preprint, Article 3, 1999. [ONLINE]
    • S.S. DRAGOMIR, J.E. PEČARIĆ and S. WANG, The Unified treatment of trapezoid, Simpson and Ostrowski type inequality for monotonic mappings and applications, Preprint: RGMIA Res. Rep. Coll., 2(4), Article 3, 1999. [ONLINE] http://rgmia.vu.edu.an/v2n4.html
    • RGMIA Res. Rep. Coll , vol.2 , Issue.4
    • Dragomir, S.S.1    Pečarić, J.E.2    Wang, S.3
  • 21
    • 0003301013 scopus 로고    scopus 로고
    • An integral inequality for twice differentiable mappings and applications
    • Preprint, Article 9, 1999. [ONLINE]
    • S.S. DRAGOMIR and A. SOFO, An integral inequality for twice differentiable mappings and applications, Preprint: RGMIA Res. Rep. Coll., 2(2), Article 9, 1999. [ONLINE] http://rgmia.vu.edu.au/v2n2.html
    • RGMIA Res. Rep. Coll , vol.2 , Issue.2
    • Dragomir, S.S.1    Sofo, A.2
  • 22
    • 0031168684 scopus 로고    scopus 로고
    • An inequality of Ostrowski-Griiss type and its applications to the estimation of error bounds for some special means and for some numerical quadrature rules
    • S.S. DRAGOMIR and S. WANG, An inequality of Ostrowski-Griiss type and its applications to the estimation of error bounds for some special means and for some numerical quadrature rules, Computers Math. Applic., 33, 15-22, 1997.
    • (1997) Computers Math. Applic , vol.33 , pp. 15-22
    • Dragomir, S.S.1    Wang, S.2
  • 23
    • 0001420065 scopus 로고    scopus 로고
    • 1 norm and applications to some special means and some numerical quadrature rules
    • S.S. DRAGOMIR and S. WANG, A new inequality of Ostrowski's type in L1 norm and applications to some special means and some numerical quadrature rules, Tamkang Journal of Mathematics, 28, 239-244, 1997.
    • (1997) Tamkang Journal of Mathematics , vol.28 , pp. 239-244
    • Dragomir, S.S.1    Wang, S.2
  • 24
    • 0000319922 scopus 로고    scopus 로고
    • Applications of Ostrowski's inequality to the estimation of error bounds for some special means and to some numerical quadrature rules
    • S.S. DRAGOMIR and S. WANG, Applications of Ostrowski's inequality to the estimation of error bounds for some special means and to some numerical quadrature rules, Appl. Math. Lett., 11, 105-109, 1998.
    • (1998) Appl. Math. Lett , vol.11 , pp. 105-109
    • Dragomir, S.S.1    Wang, S.2
  • 27
    • 0000192694 scopus 로고
    • Bounds on the derivation of a function from its averages
    • A. M. FINK, Bounds on the derivation of a function from its averages, Czech. Math. Journal, 42 (1992), No. 117, 289-310.
    • (1992) Czech. Math. Journal , vol.42 , Issue.117 , pp. 289-310
    • Fink, A.M.1
  • 29
    • 0000759870 scopus 로고    scopus 로고
    • On new estimation of the remainder in generalised Taylor's formula
    • M. MATIĆ, J.E. PECARIĆ and N. UJEVIĆ, On new estimation of the remainder in generalised Taylor's formula, M.I.A., Vol. 2 No. 3 (1999), 343-361.
    • (1999) M.I.A , vol.2 , Issue.3 , pp. 343-361
    • Matić, M.1    Pecarić, J.E.2    Ujević, N.3
  • 30
    • 84855403898 scopus 로고    scopus 로고
    • Remarks on Ostrowski's and Hadamard's inequality
    • M. MERKLE, Remarks on Ostrowski's and Hadamard's inequality, Univ. Beograd. Publ. Elecktrotechn Ser. Mat., 10 (1999), 113-117.
    • (1999) Univ. Beograd. Publ. Elecktrotechn Ser. Mat , vol.10 , pp. 113-117
    • Merkle, M.1
  • 35
    • 77956764352 scopus 로고
    • On the Jensen-Had am ard inequality
    • J. SÁXDOR. On the Jensen-Had am ard inequality, Studia Univ. Babes-Bolyai, Math., 36 (1), 9-15, 1991.
    • (1991) Studia Univ. Babes-Bolyai, Math , vol.36 , Issue.1 , pp. 9-15
    • Sáxdor, J.1
  • 36
    • 0002729279 scopus 로고    scopus 로고
    • Further generalisations of inequalities for an integral
    • F. QI, Further generalisations of inequalities for an integral, Univ. Beograd. Publ. Elecktrotechn Ser. Mat., 8 (1997), 79-83.
    • (1997) Univ. Beograd. Publ. Elecktrotechn Ser. Mat , vol.8 , pp. 79-83
    • Qi, F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.