Inequalities in Analysis and Probability

Nonfiction, Science & Nature, Mathematics, Functional Analysis, Statistics
Cover of the book Inequalities in Analysis and Probability by Odile Pons, World Scientific Publishing Company
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Author: Odile Pons ISBN: 9789814412599
Publisher: World Scientific Publishing Company Publication: November 29, 2012
Imprint: WSPC Language: English
Author: Odile Pons
ISBN: 9789814412599
Publisher: World Scientific Publishing Company
Publication: November 29, 2012
Imprint: WSPC
Language: English

The book is aimed at graduate students and researchers with basic knowledge of Probability and Integration Theory. It introduces classical inequalities in vector and functional spaces with applications to probability. It also develops new extensions of the analytical inequalities, with sharper bounds and generalizations to the sum or the supremum of random variables, to martingales and to transformed Brownian motions. The proofs of the new results are presented in great detail.

Contents:

  • Preliminaries
  • Inequalities for Means and Integrals
  • Analytic Inequalities
  • Inequalities for Martingales
  • Functional Inequalities
  • Inequalities for Processes
  • Inequalities in Complex Spaces
  • Appendix A: Probability

Readership: Graduate students and researchers in probability and integration theory.
Key Features:

  • It covers different domains from existing books
  • It gathers inequalities from several domains of the mathematics which are not generally presented together
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The book is aimed at graduate students and researchers with basic knowledge of Probability and Integration Theory. It introduces classical inequalities in vector and functional spaces with applications to probability. It also develops new extensions of the analytical inequalities, with sharper bounds and generalizations to the sum or the supremum of random variables, to martingales and to transformed Brownian motions. The proofs of the new results are presented in great detail.

Contents:

Readership: Graduate students and researchers in probability and integration theory.
Key Features:

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