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Inequalities / by G.H. Hardy, J.E. Littlewood, and G. Polya.

By: Contributor(s): Material type: TextTextSeries: Cambridge mathematical libraryAnalytics: Show analyticsPublisher: Cambridge, UK : Cambridge University Press, 1988Edition: Second edition ; first paperback editionDescription: 1 online resource (324 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781461951773
  • 1461951771
Subject(s): Genre/Form: Additional physical formats: Print version:: Inequalities.DDC classification:
  • 515.26 23
LOC classification:
  • QA303 .H25 1988
Online resources:
Contents:
Introduction -- Elementary mean values -- Mean values with an arbitrary function and the theory of convex functions -- Various applications of the calculus -- Infinite series -- Integrals -- Some applications of the calculus of variations -- Some theorems concerning bilinear and multilinear forms -- Hilbert's inequality and its analogues and extensions -- Rearrangements -- App. I. On strictly positive forms -- App. II. Thorin's proof and extension of Theorem 295 -- App. III. On Hilbert's inequality.
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Includes bibliographical references.

Introduction -- Elementary mean values -- Mean values with an arbitrary function and the theory of convex functions -- Various applications of the calculus -- Infinite series -- Integrals -- Some applications of the calculus of variations -- Some theorems concerning bilinear and multilinear forms -- Hilbert's inequality and its analogues and extensions -- Rearrangements -- App. I. On strictly positive forms -- App. II. Thorin's proof and extension of Theorem 295 -- App. III. On Hilbert's inequality.

Print version record.

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