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Monday, July 27, 2020 | History

12 edition of Convex Functions and their Applications found in the catalog.

Convex Functions and their Applications

A Contemporary Approach (CMS Books in Mathematics)

by Constantin Niculescu

  • 80 Want to read
  • 22 Currently reading

Published by Springer .
Written in


The Physical Object
Number of Pages255
ID Numbers
Open LibraryOL7444667M
ISBN 100387243003
ISBN 109780387243009

Figure 2: Examples of multivariate convex functions Convexity = convexity along all lines Theorem 1. A function f: Rn!Ris convex if and only if the function g: R!Rgiven by g(t) = f(x+ ty) is convex (as a univariate function) for all xin domain of f and all y2Rn. (The domain of ghere is all tfor which x+ tyis in the domain of f.)File Size: 1MB. Find many great new & used options and get the best deals for CMS Books in Mathematics: Convex Functions and Their Applications: A Contemporary Approach by Constantin Niculescu (, Hardcover) at the best online prices at eBay! Free shipping for many products!

Preface This book on convex functions emerges out of 15 years of collaboration between the authors. It is far from being the first on the subject nor will it be the last. It is neither a book on convex analysis such as Rockafellar’s foundational book [] nor a book on convex programming such as Boyd and Vandenberghe’s excellent recent text []. There are a . This chapter is dedicated to convexity. We start by introducing elementary properties of convex sets and functions. In particular, the characterization of convex functions via the convexity of their epigraph. We also study the distance function to a convex set. We then prove that finite dimensional convex functions are continuous.

holds for all binomial convex combinations from ℐ satisfying p x + q y = c.. If f is concave on I x ≥ c or I x ≤ c for some point c ∈ I 0, then the reverse inequalities are valid in equations () and ().. Half convexity with support lines. The main result is Lemma complementing a geometric image of a right convex function satisfying Jensen’s inequality for all binomial. This book, which is the product of a collaboration of over 15 years, is unique in that it focuses on convex functions themselves, rather than on convex analysis. The authors explore the various classes and their characteristics and applications, treating convex functions in both Euclidean and Banach by:


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Convex Functions and their Applications by Constantin Niculescu Download PDF EPUB FB2

"The book is devoted to elementary theory of convex functions. The book will be useful to all who are interested in convex functions and their applications." (Peter Zabreiko, Zentralblatt MATH, Vol.

(2), ) "This is a nice little book, providing a new look at the old subject of convexity and treating it from different points of view. This book can serve as a reference and source of inspiration to researchers in several branches of mathematics and engineering, and it can also be used as a reference text for graduate courses on convex functions and applications.

uate course on Convex Functions and Applications, to an additional biblio-graphic material. As a course for the flrst year Convex Functions and their Applications book students we used the following route: Background: Sections, The beta and gamma functions: Section Convex functions of several variables: Sections "The book is devoted to elementary theory of convex functions.

The book will be useful to all who are interested in convex functions and their applications." (Peter Zabreiko, Zentralblatt MATH, Vol. (2), ) "This is a nice little book, providing a new look at the old subject of convexity and treating it from different points of : Hardcover.

This book can serve as a reference and source of inspiration to researchers in several branches of mathematics and engineering, and it can also be used as a reference text for graduate courses on convex functions and : Hardcover.

Convex functions and their applications Niculescu C.P., Persson L.-E. Thorough introduction to an important area of mathematics Contains recent results Includes many exercises. Year: You can write a book review and share your experiences. Other readers will always be interested in your opinion of the books you've read.

Convex Functions and Their Applications A Contemporary Approach. Authors (view affiliations) This book can serve as a reference and source of inspiration to researchers in several branches of mathematics and engineering, and it can also be used as a reference text for graduate courses on convex functions and applications.

Abstract In the article, we present several majorization theorems for strongly convex functions and give their applications in inequality theory. The given results are the improvement and.

Convex functions play an important role in almost all branches of mathematics as well as other areas of science and engineering. This book is a thorough introduction to contemporary convex function theory addressed to all people whose research or teaching interests intersect with the field of convexity.

It covers a large variety of subjects, from the one. Convex Functions and their Applications: A Contemporary Approach (CMS Books in Enter your mobile number or email address below and we'll send you a link to download the free Kindle App. Then you can start reading Kindle books on your smartphone, tablet, or computer - no Kindle device : Constantin Niculescu, Lars-Erik Persson.

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. 3 Convex functions 67 applications of convex optimization are still waiting to be discovered. their complexity analysis. This book is meant to be something in between, a book on general convex optimization that focuses on problem formulation and modeling.

- Buy Convex Functions and Their Applications: A Contemporary Approach (CMS Books in Mathematics) book online at best prices in India on Read Convex Functions and Their Applications: A Contemporary Approach (CMS Books in Mathematics) book reviews & author details and more at Free delivery on Author: Constantin P.

Niculescu, Lars-Erik Persson. COVID Resources. Reliable information about the coronavirus (COVID) is available from the World Health Organization (current situation, international travel).Numerous and frequently-updated resource results are available from this ’s WebJunction has pulled together information and resources to assist library staff as they consider how to handle.

Get this from a library. Convex functions and their applications: a contemporary approach. [Constantin Niculescu; Lars-Erik Persson] -- "Convex functions play an important role in many branches of mathematics, as well as other areas of science and engineering. The present text aims to present a thorough introduction to contemporary.

The book will be useful to all who are interested in convex functions and their applications." (Peter Zabreiko, Zentralblatt MATH, Vol. (2), ) "This is a nice little book, providing a new look at the old subject of convexity and treating it from different points of view.

Convex functions are particularly easy to minimise (for example, any minimum of a convex function is a global minimum). For this reason, there is a very rich theory for solving convex optimisation problems that has many practical applications (for example, circuit design, controller design, modelling, etc.), see here and here.

I can't remember who's quote this is, or exactly. Read "Convex Functions and Their Applications A Contemporary Approach" by Constantin P. Niculescu available from Rakuten Kobo. Thorough introduction to an important area of mathematics Contains recent results Includes many exercisesBrand: Springer International Publishing.

Purchase Convex Functions, Partial Orderings, and Statistical Applications - 1st Edition. Print Book & E-Book. ISBNfunctions, for which a general representation is derived. In this connection the following questions will be discussed: The extension of the Polya-Schoenberg theorem for universally convex functions and,´ more generally, for universally prestarlike functions.

Polylogarithms as universally convex functions (extension of John Lewis result for theFile Size: KB. For details and applications, see [3, 4].

In this paper, we consider the classes of convex, log-convex and log-concave functions. We derive some new Hermite–Hadamard type inequalities for such functions in connection with generalized logarithmic means. We also discuss some special : Marcela V.

Mihai, Muhammad Uzair Awan, Muhammad Aslam Noor, Jong Kyu Kim, Khalida Inayat Noor.Suitable for advanced undergraduates and graduate students, this text introduces the broad scope of convexity by highlighting diverse applications.

Topics include characterizations of convex sets, polytopes, duality, optimization, and convex functions. Exercises appear throughout the text, with solutions, hints, and references at the end. edition.CONVEX FUNCTIONS.

OLD AND NEW | I am preparing a revision of my joint book (with Lars-Erik Persson) on Convex Functions and their Applications, Springer,