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Applicable Analysis
An International Journal
Volume 91, 2012 - Issue 5
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Original Articles

Multivariate inequalities based on Sobolev representations

George A. Anastassiou Department of Mathematical Sciences, University of Memphis, Memphis, TN 38152, U.S.A.Correspondence[email protected]
Pages 993-1017 | Received 09 Nov 2010, Accepted 27 Dec 2010, Published online: 23 Mar 2011

References

  • Chebyshev , PL . 1882 . Sur les expressions approximatives des integrales definies par les autres prises entre les mêmes limites . Proc. Math. Soc. Charkov , 2 : 93 – 98 .
  • Grüss , G . 1935 . Über das Maximum des absoluten Betrages von . Math. Z. , 39 : 215 – 226 .
  • Ostrowski , A . 1938 . Uber die absolutabweichung einer differentiabaren funcktion von ihrem integralmittelwert . Comment. Math. Helv. , 10 : 226 – 227 .
  • Anastassiou , GA . 2000 . Quantitative Approximations , Boca Raton : Chapman & Hall / CRC .
  • Anastassiou , GA . 2010 . Probabilistic Inequalities , Singapore : World Scientific .
  • Anastassiou , GA . 2010 . Advanced Inequalities , Singapore : World Scientific .
  • Burenkov , V . 1998 . Sobolev Spaces and Domains , Edited by: Teubner , BG . Leipzig : Stuttgart .
  • Brenner , S and Scott , LR . 2008 . The Mathematical Theory of Finite Element Methods , New York : Springer .

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