Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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A WEIGHTED OSTROWSKI TYPE INEQUALITY FOR FUNCTIONS WITH VALUES IN HILBERT SPACES AND APPLICATIONS

  • Dragomir, S.S. (School of Communications and Informatics Victoria University of Technology)
  • Published : 2003.03.01
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초록

Some weighted Ostrowski type integral inequalities for vector-valued functions in Hilbert spaces are given. Applications for quadrature rules with values in Hilbert spaces are also pointed out.

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참고문헌

  1. J. Ineq. Pure & Appl. Math. v.3 no.1 On weighted Ostrowski type inequalities for operators and vector-valued functions N. S. Barnett;C. Buse;P. Cerone;S. S. Dragomir
  2. Kyungpook Math. J. v.40 no.1 An n-dimensional version of Ostrowski’s inequality for mappings of Holder type S. S. Dragomir;N. S. Barnett;P. Cerone
  3. Bull. Math. Soc. Sci. Math. Roumanie v.42 no.90;4 A weighted version of Ostrowski inequality for mappings of Holder type and applications in numerical analysis S. S. Dragomir;P. Cerone;J. Roumeliotis;S. Wang
  4. Amer. Math. Soc. Colloq. Publ. v.31 Functional Analysis and Semi-Groups E. Hille;R. S. Philips
  5. J. Inequal. Appl. v.5 Generalisation of weighted version of Ostrowski’s inequality and some related results M. Matic;J. E. Pecaric;N. Ujevic https://doi.org/10.1155/S1025583400000357
  6. Univ. Beograd Publ. Elektrotehn Fak. Ser. Mat. Fiz. no.498-541 On some integral inequalities G. V. Milovanovic
  7. Inequalities Involving Functions and Their Integrals and Derivatives D. S. Mitrinovic;J. E. Pecaric;A. M. Fink
  8. Zb. Rad. V A KoV (Beograd) v.9 O novom postupku razvijanja funkcija u red i nekim primjenama J. E. Pecaric;B. Savic

피인용 문헌

  1. New weighted Ostrowski and Čebyšev type inequalities vol.71, pp.12, 2009, https://doi.org/10.1016/j.na.2009.01.178