대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제19권1호
  • /
  • Pages.75-92
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  • 2004
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  • 1225-1763(pISSN)
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  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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THE GENERALISED INTEGRATION BY PARTS FORMULA FOR APPELL SEQUENCES AND RELATED RESULTS

  • Dargomir, S.S. (School of computer Science and Mathematics Victoria University of Technology)
  • 발행 : 2004.01.01
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⟨ 이전 논문 다음 논문 ⟩

초록

A generalised integration by parts formula for sequences of absolutely continuous functions that satisfy the ${\omega}-Appell$ condition and different estimates for the remainder are provided. Applications for particular instances of such sequences are pointed out as well.

키워드

참고문헌

  1. Nonlinear Analsis v.47 Three point rules in numerical integration P.Cerone https://doi.org/10.1016/S0362-546X(01)00358-3
  2. East Asian Math. J. v.17 no.2 New bounds for a perturbed generalised Taylor's formula P.Cerone;S.S.Dragomir
  3. RGMIA Res. Rep. Coel. v.5 no.2 A refinement of the Gruss inequality and applications P.Cerone
  4. J. Ineq. Pure & Appl. Math. v.3 no.2 A note on the perturbed trapezoid inequality X.L.Cheng;J.Sun
  5. Tamkang J. Math. v.32 no.3 Better bounds in some Sstrowski-Gruss type inequality S.S.Dragomir
  6. Math. Ineq. & Appl. v.2 no.3 On new estimation of the remainder in generalished Taylor's formula M.Matic;J.E.Pecaric;N.Ujevic
  7. J. Comput. Anal. and Applic. v.2 no.3 On Anastassiou's generalisation of the Ostrowski inequality and related results C.E.M.Pearce;J.E.Pecaric
  8. Math. Ineq. & Appl. v.3 no.1 Generalisations of some inequalities of Ostrowski-Gruss type C.E.M.Pearce;J.E.Pecaric;N.UJevic;S.Varosanec
  9. Nonlinear Analysis v.47 Harmonic polymials and generalisation of Ostrowski inequality with applications in numerical integration J.E.Pecaric;S.Varosanec https://doi.org/10.1016/S0362-546X(01)00360-1

피인용 문헌

  1. Approximating real functions which possess nth derivatives of bounded variation and applications vol.56, pp.9, 2008, https://doi.org/10.1016/j.camwa.2008.03.049