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Friday, July 31, 2020 | History

5 edition of Convex functions, partial orderings and statistical applications found in the catalog.

Convex functions, partial orderings and statistical applications

J. E. PecМЊaricМЃ

Convex functions, partial orderings and statistical applications

by J. E. PecМЊaricМЃ

  • 84 Want to read
  • 38 Currently reading

Published by Academic Press in Boston, London .
Written in English


Edition Notes

StatementJosip E. Pecaric, Frank Proschan, Y.L. Tong.
SeriesMathematics in science and engineering -- 187
ContributionsProschan, Frank., Tong, Y. L.
The Physical Object
Pagination(448)p. ;
Number of Pages448
ID Numbers
Open LibraryOL21124715M
ISBN 100125492502

Josip Pečarić (born September ) is a Croatian mathematician. He is a professor of mathematics in the Faculty of Textile Technology at the University of Zagreb, Croatia, and is a full member of the Croatian Academy of Sciences and has written and . Convex Functions, Partial Orderings and Statistical Applications. Academic Press, San Diego. Academic Press, San Diego. Mathematical Reviews (MathSciNet): MR

The aim of this paper is to establish some refined versions of majorization inequality involving twice differentiable convex functions by using Taylor theorem with mean-value form of the remainder. Our results improve several results obtained in earlier literatures. As an application, the result is used for deriving a new fractional inequality. In mathematics, a real-valued function defined on an interval is called convex (or convex downward or concave upward) if the line segment between any two points on the graph of the function lies above or on the graph, in a Euclidean space (or more generally a vector space) of at least two dimensions. Equivalently, a function is convex if its epigraph (the set of points on or above the graph of.

Convex functions, partial orderings, and statistical applications. New York: Academic Press; Sroysang B () On the Hermite-Hadamard inequality and other integral inequalities involving several functions. Tong, Convex functions, partial orderings and statistical applications, Academic Press, New York, NY, USA, Hermite-Hadamard Type Integral Inequalities for Functions Whose Second-Order Mixed Derivatives Are Coordinated (s, m)-P-Convex.


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Convex functions, partial orderings and statistical applications by J. E. PecМЊaricМЃ Download PDF EPUB FB2

Purchase Convex Functions, Partial Orderings, and Statistical Applications - 1st Edition. Print Book & E-Book. ISBN  Convex Functions, Partial Orderings, and Statistical Applications (MATHEMATICS IN SCIENCE AND ENGINEERING) 1st Edition by Josip E.

Peajcariaac (Author), Y. Tong (Author) ISBN Cited by:   Convex Functions, Partial Orderings, and Statistical Applications (MATHEMATICS IN SCIENCE AND ENGINEERING Book ) - Kindle edition by Peajcariaac, Josip E., Tong, Y.

Download it once and read it on your Kindle device, PC, phones or tablets. Use features like bookmarks, note taking and highlighting while reading Convex Functions, Partial Orderings, and Statistical Applications Price: $ Presents information concerning developments in convex functions and partial orderings and some applications in mathematics, statistics, and reliability theory.

This book explains partial ordering based on arrangement and their applications in mathematics, probability, statsitics, and reliability. Book chapter Full text access Convex functions 7 - Čebyšev–Grüss', Favard's, Berwald's, Gauss–Winckler's, and Related Partial orderings and statistical applications book Pages Download PDF.

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 : Elsevier Science.

Book Title:Convex Functions, Partial Orderings, and Statistical Applications (Mathematics in Science and Engineering) This researchlevel book presents uptodate information concerning recent developments in convex functions and partial orderings and some applications in mathematics, statistics, and reliability theory.

Theorem Check for the Convexity of a Function. A function of n variables f (x 1, x 2, x n) defined on a convex set S is convex if and only if the Hessian matrix of the function is positive semidefinite or positive definite at all points in the set the Hessian matrix is positive definite for all points in the feasible set, then f is called a strictly convex function.

"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. Peµcari´c, F. Proschan and Y.

Tong: Convex Functions, Partial Orderings, and Statistical Applications, Academic Press Inc., Get this from a library. Convex functions, partial orderings, and statistical applications. [Josip E Pečarić; Frank Proschan; Y L Tong] -- This research-level book presents up-to-date information concerning recent developments in convex functions and partial ordering and some applications in mathematics, statistics, and reliability.

[PDF] Convex Functions, Partial Orderings, and Statistical Applications (Mathematics in Science & Engineering) Boolean Functions: Theory, Algorithms, and Applications ; Associative Functions: Triangular Norms And Copulas ; Physically Unclonable Functions: Constructions, Properties and Applications.

We will begin with convex functions and Jensen’s inequality. Convex Functions, Partial Orderings and Statistical Applications,Academic Press, to appear. Google Scholar. STEFFENSEN, J. F., On () Convex Functions and Jensen’s Inequality. In: Classical and New Inequalities in Analysis.

Mathematics and Its Applications (East. If \(n = 0\), then a convex function f of order 0 is a nonnegative function, a 1-convex function is a nondecreasing function, while the class of 2-convex functions coincides with the class of convex functions.

It is well known that if the nth order derivative \(f^{(n)}\) exists, then the function f is n-convex if and only if \(f^{(n)} \geq 0\) (see for example [17, p.

16 and p. Some Applications for -Divergences. Given a convex function, the -divergence functional where are positive sequences, was introduced by Csiszár in, as a F. Proschan, and Y. Tong, Convex Functions, Partial Orderings, and Statistical Applications, vol.

of Mathematics in Science and Engineering, Academic Press, New York, NY. Author of Konveksne funkcije, Convex Functions, Partial Orderings, and Statistical Applications, and Razotkrivena jasenovačka laž/5(3). is holding for any convex function, that is, well known in the literature as the Hermite-Hadamard inequality (see [1, page ]).In many areas of analysis applications of Hermite-Hadamard inequality appear for different classes of functions with and without weights; see for convex functions, for example, [2, 3].Also some useful mappings are defined connected to this inequality see in [4–6].

In this paper, we give generalization of discrete weighted Favard’s and Berwald’s inequalities for strongly convex functions.

The obtained results are the improvement and generalization of the earlier results. [7] Pečarić, J.E., Prpschan, F. and Tong, Y.L., Convex functions, partial orderings and statistical applications (Academic Press, Boston, MA, ).

Recommend this journal Email your librarian or administrator to recommend adding this journal to your organisation's collection. The analytic and geometric image of half convex functions is presented using convex combinations and support lines.

The results relating to convex combinations are applied to quasi-arithmetic. In this study, we present a new definition of convexity. This definition is the class of strongly multiplicatively P-functions.

Some new Hermite-Hadamard type inequalities are derived for strongly multiplicatively -functions. Some applications to special means of real numbers are given.

Ideas of this paper may stimulate further research.In this paper, bounds of fractional and conformable integral operators are established in a compact form. By using exponentially convex functions, certain bounds of these operators are derived and further used to prove their boundedness and continuity.

A modulus inequality is established for a differentiable function whose derivative in absolute value is exponentially convex.In this article, we introduce the notion of $\mathscr{M}$-convex functions, $\log$-$\mathscr{M}$-convex functions and the notion of quasi $\mathscr{M}$-convex functions.

We derive some new analogues of Hermite-Hadamard like inequalities associated with $\mathscr{M}$-convex functions by using the concepts of ordinary, fractional and quantum calculus.