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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)
  • Published : 2004.01.01

Abstract

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.

Keywords

References

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Cited by

  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