In this monograph, The author presents univariate and multivariate probabilistic inequalities with coverage on basic probabilistic entities like expectation, variance, moment generating function and covariance. These are built on the recent classical form of real analysis inequalities which are also discussed in full details. This treatise is the culmination and crystallization of the author's last two decades of research work in related discipline. Each of the chapters is self-contained and a few advanced courses can be taught out of this book. Extensive background and motivations for specific topics are given in each chapter. A very extensive list of references is also provided at the end. The topics covered in this unique book are wide-ranging and diverse. The opening chapters examine the probabilistic Ostrowski type inequalities, and various related ones, As well as the largely discusses about the Grothendieck type probabilistic inequalities. The book is also about inequalities in information theory and The Csiszar's f-Divergence between probability measures. A great section of the book is also devoted to The applications in various directions of Geometry Moment Theory. Also, The development of the GrÜss type and Chebyshev–GrÜss type inequalities for Stieltjes integrals and The applications in probability are explored in detail. The final chapters discuss the important real analysis methods with potential applications to stochastics. The book will be of interest to researchers and graduate students, and it is also seen as an invaluable reference book to be acquired by all science libraries as well as seminars that conduct discussions on related topics.
For a class of cases where Theorem 5.3 applies , with its somewhat unusual hypothesis on uog- , let N = { 0 , 1 ) , H = U ( 0,1 ) , let H be the distribution function of a random variable X having a strictly positive density on R and E ...
- H. Beirao da Veiga: On the incompressible limit of the compressible Navier-Stokes equations.- A. Bove: Propagation of singularities for hyperbolic operators with double characteristics.- G. Buttazzo: Relaxation problems in control theory.
本书是美国著名力学和数学家BarnaSzabó教授和IvoBabu?ka教授的经典之作。书中重点介绍了有限元模型的建立、验证与校核,尤其是详细介绍了p型有限元的基本理论,p型、h型以及hp型有 ...
"I think this new book has no real competitors.
The aim of this major revision is to create a contemporary text which incorporates the best features of calculus reform yet preserves the main structure of an established and well-tested...
Regularity of Minimal Surfaces begins with a survey of minimal surfaces with free boundaries. Following this, the basic results concerning the boundary behaviour of minimal surfaces and H-surfaces with fixed...
This volume contains 18 invited papers by members and guests of the former Sonderforschungsbereich in Bonn (SFB 72) who, over the years, collaborated on the research group "Solution of PDE's...
Written primarily for undergraduate students of mathematics, science, or engineering, who typically take a course on differential equations during their first or second year. The main prerequisite is a working...
Written in problem-solving format, this book emphasizes the purpose of an advanced calculus course by offering a more thorough presentation of some topics to which engineering and physical science students...
An internationally famous expositor discusses such topics as differential equations, matrices, groups, sets, transformations, mathematical logic and other important areas of modern mathematics. His clear-cut explanations for both lay readers...