A weighted Ostrowski type inequality for functions with values in Hilbert spaces and applications

Journal of the Korean Mathematical Society

Volumn 40, Issue 2, 2003, Pages 207-224

  Dragomir, S S ^a  

^a VICTORIA UNIVERSITY   (Australia)

Author keywords

Bochner's integral; Ostrowski's inequality; Vector valued functions

Indexed keywords

EID: 18544380081     PISSN: 03049914     EISSN: None     Source Type: Journal    
DOI: 10.4134/JKMS.2003.40.2.207     Document Type: Article

References (8)

1. N. S. Barnett, C. Buşe, P. Cerone, and S. S. Dragomir, On weighted Ostrowski type inequalities for operators and vector-valued functions, J. Ineq. Pure & Appl. Math. 3 (1) (2002), Article 12.
2. S. S. Dragomir, N. S. Barnett, and P. Cerone, An n-dimensional version of Ostrowski's inequality for mappings of Hölder type, Kyungpook Math. J. 40 (2000), no. 1, 65-75.
3. S. S. Dragomir, P. Cerone, J. Roumeliotis, and S. Wang, A weighted version of Ostrowski inequality for mappings of Hölder type and applications in numerical analysis, Bull. Math. Soc. Sci. Math. Roumanie 42(90)(4) (1992), 301-304.
4. E. Hille and R. S. Philips, Functional Analysis and Semi-Groups, Amer. Math. Soc. Colloq. Publ. Vol. 31, Providence, R.I., (1957).
5. M. Matić, J. E. Pečarić and N. Ujević, Generalisation of weighted version of Ostrowski's inequality and some related results, J. Inequal. Appl. 5 (2000), 639-666.
6. G. V. Milovanović, On some integral inequalities, Univ. Beograd Publ. Elektrotehn Fak. Ser. Mat. Fiz., No. 498-541 (1975), 119-124.
7. D. S. Mitrinović, J. E. Pečarić and A. M. Fink, Inequalities Involving Functions and Their Integrals and Derivatives. Kluwer Academic Publishers, Dordrecht, 1991.
8. J. E. Pečarić and B. Savić, O novom postupku razvijanja funkcija u red i nekim primjenama, Zb. Rad. V A KoV (Beograd) 9 (1983), 171-202.