On Some Geometric Inequalities and Applications
Author: Yi Wang
Publisher:
Published: 2011
Total Pages: 208
ISBN-13:
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Author: Yi Wang
Publisher:
Published: 2011
Total Pages: 208
ISBN-13:
DOWNLOAD EBOOKAuthor: Dragoslav S. Mitrinovic
Publisher: Springer Science & Business Media
Published: 2013-04-17
Total Pages: 728
ISBN-13: 9401578427
DOWNLOAD EBOOKAuthor: Gabriel-Eduard Vîlcu
Publisher: MDPI
Published: 2021-03-09
Total Pages: 208
ISBN-13: 303650298X
DOWNLOAD EBOOKThis book presents the recent developments in the field of geometric inequalities and their applications. The volume covers a vast range of topics, such as complex geometry, contact geometry, statistical manifolds, Riemannian submanifolds, optimization theory, topology of manifolds, log-concave functions, Obata differential equation, Chen invariants, Einstein spaces, warped products, solitons, isoperimetric problem, Erdös–Mordell inequality, Barrow’s inequality, Simpson inequality, Chen inequalities, and q-integral inequalities. By exposing new concepts, techniques and ideas, this book will certainly stimulate further research in the field.
Author: Themistocles RASSIAS
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 377
ISBN-13: 9401145776
DOWNLOAD EBOOKAnalytic and Geometric Inequalities and Applications is devoted to recent advances in a variety of inequalities of Mathematical Analysis and Geo metry. Subjects dealt with in this volume include: Fractional order inequalities of Hardy type, differential and integral inequalities with initial time differ ence, multi-dimensional integral inequalities, Opial type inequalities, Gruss' inequality, Furuta inequality, Laguerre-Samuelson inequality with extensions and applications in statistics and matrix theory, distortion inequalities for ana lytic and univalent functions associated with certain fractional calculus and other linear operators, problem of infimum in the positive cone, alpha-quasi convex functions defined by convolution with incomplete beta functions, Chebyshev polynomials with integer coefficients, extremal problems for poly nomials, Bernstein's inequality and Gauss-Lucas theorem, numerical radii of some companion matrices and bounds for the zeros of polynomials, degree of convergence for a class of linear operators, open problems on eigenvalues of the Laplacian, fourth order obstacle boundary value problems, bounds on entropy measures for mixed populations as well as controlling the velocity of Brownian motion by its terminal value. A wealth of applications of the above is also included. We wish to express our appreciation to the distinguished mathematicians who contributed to this volume. Finally, it is our pleasure to acknowledge the fine cooperation and assistance provided by the staff of Kluwer Academic Publishers. June 1999 Themistocles M. Rassias Hari M.
Author:
Publisher:
Published: 1942
Total Pages: 8
ISBN-13:
DOWNLOAD EBOOKAuthor: Hayk Sedrakyan
Publisher: Springer
Published: 2017-05-27
Total Pages: 454
ISBN-13: 3319550802
DOWNLOAD EBOOKThis unique collection of new and classical problems provides full coverage of geometric inequalities. Many of the 1,000 exercises are presented with detailed author-prepared-solutions, developing creativity and an arsenal of new approaches for solving mathematical problems. This book can serve teachers, high-school students, and mathematical competitors. It may also be used as supplemental reading, providing readers with new and classical methods for proving geometric inequalities.
Author: Nassif Ghoussoub
Publisher: American Mathematical Soc.
Published: 2013-04-09
Total Pages: 331
ISBN-13: 0821891529
DOWNLOAD EBOOK"The book describes how functional inequalities are often manifestations of natural mathematical structures and physical phenomena, and how a few general principles validate large classes of analytic/geometric inequalities, old and new. This point of view leads to "systematic" approaches for proving the most basic inequalities, but also for improving them, and for devising new ones--sometimes at will and often on demand. These general principles also offer novel ways for estimating best constants and for deciding whether these are attained in appropriate function spaces. As such, improvements of Hardy and Hardy-Rellich type inequalities involving radially symmetric weights are variational manifestations of Sturm's theory on the oscillatory behavior of certain ordinary differential equations. On the other hand, most geometric inequalities, including those of Sobolev and Log-Sobolev type, are simply expressions of the convexity of certain free energy functionals along the geodesics on the Wasserstein manifold of probability measures equipped with the optimal mass transport metric. Caffarelli-Kohn-Nirenberg and Hardy-Rellich-Sobolev type inequalities are then obtained by interpolating the above two classes of inequalities via the classical ones of Hölder. The subtle Moser-Onofri-Aubin inequalities on the two-dimensional sphere are connected to Liouville type theorems for planar mean field equations."--Publisher's website.
Author: Yurii D. Burago
Publisher: Springer Science & Business Media
Published: 2013-03-14
Total Pages: 346
ISBN-13: 3662074419
DOWNLOAD EBOOKA 1988 classic, covering Two-dimensional Surfaces; Domains on the Plane and on Surfaces; Brunn-Minkowski Inequality and Classical Isoperimetric Inequality; Isoperimetric Inequalities for Various Definitions of Area; and Inequalities Involving Mean Curvature.
Author: Ye Li
Publisher:
Published: 2012
Total Pages: 128
ISBN-13:
DOWNLOAD EBOOKAuthor: Catherine Bandle
Publisher: Pitman Publishing
Published: 1980
Total Pages: 248
ISBN-13:
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