Schur-Convex Functions and Inequalities PDF Download
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Author: Huan-nan Shi
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110607867
Category : Mathematics
Languages : en
Pages : 256
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Book Description
This two-volume work introduces the theory and applications of Schur-convex functions. The second volume mainly focuses on the application of Schur-convex functions in sequences inequalities, integral inequalities, mean value inequalities for two variables, mean value inequalities for multi-variables, and in geometric inequalities.
Author: Huan-nan Shi
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110607867
Category : Mathematics
Languages : en
Pages : 256
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Book Description
This two-volume work introduces the theory and applications of Schur-convex functions. The second volume mainly focuses on the application of Schur-convex functions in sequences inequalities, integral inequalities, mean value inequalities for two variables, mean value inequalities for multi-variables, and in geometric inequalities.
Author: Huan-nan Shi
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110607840
Category : Mathematics
Languages : en
Pages : 236
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Book Description
This two-volume work introduces the theory and applications of Schur-convex functions. The first volume introduces concepts and properties of Schur-convex functions, including Schur-geometrically convex functions, Schur-harmonically convex functions, Schur-power convex functions, etc. and also discusses applications of Schur-convex functions in symmetric function inequalities.
Author: Ingram Olkin
Publisher: Academic Press
ISBN: 0080959970
Category : Mathematics
Languages : en
Pages : 569
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Book Description
Although they play a fundamental role in nearly all branches of mathematics, inequalities are usually obtained by ad hoc methods rather than as consequences of some underlying "theory of inequalities." For certain kinds of inequalities, the notion of majorization leads to such a theory that is sometimes extremely useful and powerful for deriving inequalities. Moreover, the derivation of an inequality by methods of majorization is often very helpful both for providing a deeper understanding and for suggesting natural generalizations. Anyone wishing to employ majorization as a tool in applications can make use of the theorems; for the most part, their statements are easily understood.
Author: Constantin P. Niculescu
Publisher: Springer
ISBN: 3319783378
Category : Mathematics
Languages : en
Pages : 415
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Book Description
Thorough introduction to an important area of mathematics Contains recent results Includes many exercises
Author: Josip E. Peajcariaac
Publisher: Academic Press
ISBN: 9780080925226
Category : Mathematics
Languages : en
Pages : 467
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Book Description
This research-level book presents up-to-date information concerning recent developments in convex functions and partial orderings and some applications in mathematics, statistics, and reliability theory. The book will serve researchers in mathematical and statistical theory and theoretical and applied reliabilists. Presents classical and newly published results on convex functions and related inequalities Explains partial ordering based on arrangement and their applications in mathematics, probability, statsitics, and reliability Demonstrates the connection of partial ordering with other well-known orderings such as majorization and Schur functions Will generate further research and applications
Author: Albert W. Marshall
Publisher: Springer Science & Business Media
ISBN: 0387682767
Category : Mathematics
Languages : en
Pages : 909
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Book Description
This book’s first edition has been widely cited by researchers in diverse fields. The following are excerpts from reviews. “Inequalities: Theory of Majorization and its Applications” merits strong praise. It is innovative, coherent, well written and, most importantly, a pleasure to read. ... This work is a valuable resource!” (Mathematical Reviews). “The authors ... present an extremely rich collection of inequalities in a remarkably coherent and unified approach. The book is a major work on inequalities, rich in content and original in organization.” (Siam Review). “The appearance of ... Inequalities in 1979 had a great impact on the mathematical sciences. By showing how a single concept unified a staggering amount of material from widely diverse disciplines–probability, geometry, statistics, operations research, etc.–this work was a revelation to those of us who had been trying to make sense of his own corner of this material.” (Linear Algebra and its Applications). This greatly expanded new edition includes recent research on stochastic, multivariate and group majorization, Lorenz order, and applications in physics and chemistry, in economics and political science, in matrix inequalities, and in probability and statistics. The reference list has almost doubled.
Author: Amir
Publisher: Birkhäuser
ISBN: 3034854870
Category : Science
Languages : en
Pages : 205
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Book Description
Every mathematician working in Banaeh spaee geometry or Approximation theory knows, from his own experienee, that most "natural" geometrie properties may faH to hold in a generalnormed spaee unless the spaee is an inner produet spaee. To reeall the weIl known definitions, this means IIx 11 = *, where is an inner (or: scalar) product on E, Le. a function from ExE to the underlying (real or eomplex) field satisfying: (i) O for x o. (ii) is linear in x. (iii) = (intherealease, thisisjust =
Author: BECKENBACH
Publisher: Birkhäuser
ISBN: 3034862903
Category : Science
Languages : en
Pages : 543
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Book Description
Author: J. Michael Steele
Publisher: Cambridge University Press
ISBN: 9780521546775
Category : Mathematics
Languages : en
Pages : 320
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Book Description
This 2004 book presents a fascinating collection of problems related to the Cauchy-Schwarz inequality and coaches readers through solutions.
Author: BECKENBACH
Publisher: Birkhäuser
ISBN: 9783764315399
Category : Science
Languages : en
Pages : 596
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Book Description
