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SpringerBriefs in Mathematics

Inequalities Based on Sobolev Representations

Authors: Anastassiou, George A.

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  • First monograph to deal exclusively with very general tight integral inequalities of Chebyshev-Grüss, Ostrowski types and of comparison of integral means
  • Advanced courses and seminars can be taught out of this book
  • All necessary background and motivations are given in each chapter
  • Suitable for researchers, graduate students, and seminars in subareas of mathematical analysis, inequalities, partial differential equations and information theory
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eBook $34.99
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  • ISBN 978-1-4614-0201-5
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  • Immediate eBook download after purchase
Softcover $49.95
price for USA in USD
  • ISBN 978-1-4614-0200-8
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About this book

Inequalities based on Sobolev Representations deals exclusively with very general tight integral inequalities of Chebyshev-Grüss, Ostrowski types and of integral means, all of which depend upon the Sobolev integral representations of functions.  Applications illustrate inequalities that engage in ordinary and weak partial derivatives of the involved functions. This book also derives important estimates for the averaged Taylor polynomials and remainders of Sobolev integral representations.  The results are examined in all directions and through both univariate and multivariate cases. This book is suitable for researchers, graduate students, and seminars in subareas of mathematical analysis, inequalities, partial differential equations and information theory.

Table of contents (2 chapters)

Table of contents (2 chapters)
  • Univariate Integral Inequalities Based on Sobolev Representations

    Pages 1-34

    Anastassiou, George A.

  • Multivariate Integral Inequalities Deriving from Sobolev Representations

    Pages 35-65

    Anastassiou, George A.

Buy this book

eBook $34.99
price for USA in USD (gross)
  • ISBN 978-1-4614-0201-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $49.95
price for USA in USD
  • ISBN 978-1-4614-0200-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the eBook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Inequalities Based on Sobolev Representations
Authors
Series Title
SpringerBriefs in Mathematics
Copyright
2011
Publisher
Springer-Verlag New York
Copyright Holder
George A. Anastassiou
eBook ISBN
978-1-4614-0201-5
DOI
10.1007/978-1-4614-0201-5
Softcover ISBN
978-1-4614-0200-8
Series ISSN
2191-8198
Edition Number
1
Number of Pages
IX, 65
Topics