000			a
999			_c34789 _d34789
008			251013b xxu||||| |||| 00| 0 eng d
020			_a9783031719660 _c(hbk)
082			_a515.882 _bNIC
100			_aNiculescu, Constantin P.
245			_aConvex functions and their applications : a contemporary approach
250			_a3rd ed.
260			_bSpringer, _c2025 _aCham :
300			_axxii, 494 p. ; _c24 cm.
365			_b79.99 _c€ _d106.43
490			_aCMS books in mathematics.
504			_aIncludes bibliographical references and index.
520			_aConvex functions play an important role in many branches of mathematics, as well as other areas of science and engineering. The present text is aimed to a thorough introduction to contemporary convex function theory, which entails a powerful and elegant interaction between analysis and geometry. A large variety of subjects are covered, from one real variable case (with all its mathematical gems) to some of the most advanced topics such as the convex calculus, Alexandrov’s Hessian, the variational approach of partial differential equations, the Prékopa-Leindler type inequalities and Choquet's theory. This book can be used for a one-semester graduate course on Convex Functions and Applications, and also as a valuable reference and source of inspiration for researchers working with convexity. The only prerequisites are a background in advanced calculus and linear algebra. Each section ends with exercises, while each chapter ends with comments covering supplementary material and historical information. Many results are new, and the whole book reflects the authors’ own experience, both in teaching and research. About the authors: Constantin P. Niculescu is a Professor in the Department of Mathematics at the University of Craiova, Romania. Dr. Niculescu directs the Centre for Nonlinear Analysis and Its Applications and also the graduate program in Applied Mathematics at Craiova. He received his doctorate from the University of Bucharest in 1974. He published in Banach Space Theory, Convexity Inequalities and Dynamical Systems, and has received several prizes both for research and exposition. Lars Erik Persson is Professor of Mathematics at Luleå University of Technology and Uppsala University, Sweden. He is the director of Center of Applied Mathematics at Luleå, a member of the Swedish National Committee of Mathematics at the Royal Academy of Sciences, and served as President of the Swedish Mathematical Society (1996-1998). He received his doctorate from Umeå University in 1974. Dr. Persson has published on interpolation of operators, Fourier analysis, function theory, inequalities and homogenization theory. He has received several prizes both for research and teaching.
650			_aScience and Nature
650			_aConvex Geometry
650			_aDiscrete Geometry
650			_aFunctions of Real Variables
650			_aFunctional Analysis
650			_aConvex Functions
700			_aPersson, Lars-Erik
942			_2ddc _cBK