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Functions of real variables

  • Analytic Inequalitiesby B.G. Pachpatte

    Atlantis Press 2012; US$ 149.00

    For more than a century, the study of various types of inequalities has been the focus of great attention by many researchers, interested both in the theory and its applications. In particular, there exists a very rich literature related to the well known Cebysev, Gruss, Trapezoid, Ostrowski, Hadamard and Jensen type inequalities. The present monograph... more...

  • Asymptotic Geometric Analysisby

    Springer New York 2013; US$ 129.00

    This book examines methods for analyzing the geometric and linear properties of finite dimensional objects, normed spaces and convex bodies, especially with the asymptotics of their various quantitative parameters as the dimension tends to infinity. more...

  • A Basic Course in Real Analysisby Ajit Kumar; S. Kumaresan

    CRC Press 2014; US$ 89.95

    Real Number System Algebra of the Real Number System Upper and Lower Bounds LUB Property and Its Applications Absolute Value and Triangle Inequality Sequences and Their Convergence Sequences and Their Convergence Cauchy Sequences Monotone Sequences Sandwich Lemma Some Important Limits Sequences Diverging to Subsequences Sequences... more...

  • Bounded Variation and Aroundby Jürgen Appell; Józef Banas; Nelson José Merentes Díaz

    De Gruyter 2013; US$ 168.00

    This monograph is a self-contained exposition of the definition and properties of functions of bounded variation and their various generalizations; the analytical properties of nonlinear composition operators in spaces of such functions; applications to Fourier analysis, nonlinear integral equations, and boundary value problems. The book... more...

  • Convex Analysis and Nonlinear Optimizationby Jonathan M. Borwein; Adrian S. Lewis

    Springer 2010; US$ 74.95

    Optimization is a rich and thriving mathematical discipline, and the underlying theory of current computational optimization techniques grows ever more sophisticated. This book aims to provide a concise, accessible account of convex analysis and its applications and extensions, for a broad audience. Each section concludes with an often extensive set... more...

  • Convex Functions, Partial Orderings, and Statistical Applicationsby Josip E. Peajcariaac; Y. L. Tong

    Elsevier Science 1992; US$ 139.00

    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. Key Features * Presents classical... more...

  • Fonctions d'une variable réelleby N. Bourbaki

    Springer Berlin Heidelberg 2007; US$ 79.95

    Les Éléments de mathématique de Nicolas Bourbaki ont pour objet une présentation rigoureuse, systématique et sans prérequis des mathématiques depuis leurs fondements. Ce Livre est le quatrième du traité ; il est consacré aux bases de l?analyse réelle. Il comprend les chapitres: 1. Dérivées; 2. Primitives et intégrales; 3. Fonctions élémentaires;... more...

  • Functional Analysis and Applied Optimization in Banach Spacesby Fabio Botelho

    Springer International Publishing 2014; US$ 149.00

    ?This book introduces the basic concepts of real and functional analysis. It presents the fundamentals of the calculus of variations, convex analysis, duality, and optimization that are necessary to develop applications to physics and engineering problems. The book includes introductory and advanced concepts in measure and integration, as well as an... more...

  • Generalized Convexity, Generalized Monotonicity and Applicationsby Andrew Eberhard; Nicolas Hadjisavvas; D.T. Luc

    Springer US 2006; US$ 249.00

    In recent years there is a growing interest in generalized convex fu- tions and generalized monotone mappings among the researchers of - plied mathematics and other sciences. This is due to the fact that mathematical models with these functions are more suitable to describe problems of the real world than models using conventional convex and monotone... more...

  • Generalized Convexity and Optimizationby Alberto Cambini; Laura Martein

    Springer Berlin Heidelberg 2008; US$ 109.00

    The authors have written a rigorous yet elementary and self-contained book to present, in a unified framework, generalized convex functions. The book also includes numerous exercises and two appendices which list the findings consulted. more...