Convex Functions and Their Applications, Constantin P. Niculescu; Lars-Erik Persson

Автор: D. Butnariu; A.N. Iusem
Название: Totally Convex Functions for Fixed Points Computation and Infinite Dimensional Optimization
ISBN: 9401057885 ISBN-13(EAN): 9789401057882
Издательство: Springer
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Описание: The aim of this work is to present in a unified approach a series of results concerning totally convex functions on Banach spaces and their applications to building iterative algorithms for computing common fixed points of mea- surable families of operators and optimization methods in infinite dimen- sional settings.

Автор: Huan-nan Shi
Название: Schur-Convex Functions and Inequalities: Volume 2: Applications in Inequalities
ISBN: 3110606577 ISBN-13(EAN): 9783110606577
Издательство: Walter de Gruyter
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Описание: 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.

Автор: Huan-nan Shi
Название: Schur-Convex Functions and Inequalities: Volume 1: Concepts, Properties, and Applications in Symmetric Function Inequalities
ISBN: 3110606127 ISBN-13(EAN): 9783110606126
Издательство: Walter de Gruyter
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Описание: 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.

Автор: C. Udriste
Название: Convex Functions and Optimization Methods on Riemannian Manifolds
ISBN: 0792330021 ISBN-13(EAN): 9780792330028
Издательство: Springer
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Описание: Discusses the interaction between Riemannian geometry, convex programming, numerical analysis, dynamical systems and mathematical modelling. This book presents a unified theory of convexity of functions, dynamical systems and optimization methods on Riemannian manifolds.

Автор: Robert R. Phelps
Название: Convex Functions, Monotone Operators and Differentiability
ISBN: 3540567151 ISBN-13(EAN): 9783540567158
Издательство: Springer
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Описание: Starting with convex functions on the line, this title leads to interconnected topics in convexity, differentiability and subdifferentiability of convex functions in Banach spaces, generic continuity of monotone operators, geometry of Banach spaces and the Radon-Nikodym property, convex analysis, variational principles and perturbed optimization.

Автор: Alexander M. Rubinov; Xiao-qi Yang
Название: Lagrange-type Functions in Constrained Non-Convex Optimization
ISBN: 1461348218 ISBN-13(EAN): 9781461348214
Издательство: Springer
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Описание: Thus the question arises how to generalize classical Lagrange and penalty functions, in order to obtain an appropriate scheme for reducing constrained optimiza- tion problems to unconstrained ones that will be suitable for sufficiently broad classes of optimization problems from both the theoretical and computational viewpoints.

Автор: I. E. Leonard, J. E. Lewis
Название: Solutions Manual to Accompany Geometry of Convex Sets
ISBN: 1119184185 ISBN-13(EAN): 9781119184188
Издательство: Wiley
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Описание: A Solutions Manual to accompany Geometry of Convex Sets Geometry of Convex Sets begins with basic definitions of the concepts of vector addition and scalar multiplication and then defines the notion of convexity for subsets of n-dimensional space.