Results 91 to 100 of about 5,434,968 (247)
Journal of Inequalities and ApplicationsThis article introduces the Giaccardi inequality using isotonic linear functionals and h-convexity. This work includes both discrete and integral variants of this inequality. The important Petrović inequality is deduced as a special case.
Muhammad Samraiz +3 more
doaj +1 more source
Reverses of Ando's and Hölder-Macarty's inequalities [PDF]
arXiv, 2018 In this paper, we give some reverse-types of Ando's and H\"older-McCarthy's inequalities for positive linear maps, and positive invertible operators. For our purpose, we use a recently improved Young inequality and its reverse.
arxiv
Some inequalities on $h$-convex functions [PDF]
arXiv, 2020 In this paper, we state some characterizations of $h$-convex function is defined on a convex set in a linear space. By doing so, we extend the Jensen-Mercer inequality for $h$-convex function. We will also define $h$-convex function for operators on a Hilbert space and present the operator version of the Jensen-Mercer inequality.
arxiv
Branch and bound with simplicial partitions for global optimization
Mathematical Modelling and Analysis, 2008 Branch and bound methods for global optimization are considered in this paper. Advantages and disadvantages of simplicial partitions for branch and bound are shown.
Julius Žilinskas
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On Some Discrete Inequalities in Normed Linear Spaces [PDF]
arXiv, 2005 Some sharp discrete inequalities in normed linear spaces are obtained. New reverses of the generalised triangle inequality are also given.
arxiv
Complete linear proofs of systems of linear inequalities
12th Annual Symposium on Switching and Automata Theory (swat 1971), 1971 Rabin has investigated the difficulty of proving that a set of linear forms is simultaneously positive by the evaluation of analytic functions. In this paper we study this same question under the restriction that each analytic function itself be linear.
openaire +3 more sources
The effectiveness of the linear hull effect
Journal of Mathematical Cryptology, 2012 There is no linear hull effect in linear cryptanalysis.
Murphy Sean
doaj +1 more source
Non-Shannon Information Inequalities in Four Random Variables [PDF]
arXiv, 2011 Any unconstrained information inequality in three or fewer random variables can be written as a linear combination of instances of Shannon's inequality I(A;B|C) >= 0 . Such inequalities are sometimes referred to as "Shannon" inequalities. In 1998, Zhang and Yeung gave the first example of a "non-Shannon" information inequality in four variables.
arxiv
Inequalities between the Two Kinds of Eigenvalues of a Linear Transformation [PDF]
, 1949 Hermann Weyl
openalex +1 more source
Abstract and Applied Analysis, 2014 This paper deals with the problem of robust model predictive control (RMPC) for a class of linear time-varying systems with constraints and data losses. We take the polytopic uncertainties into account to describe the uncertain systems.
Deyin Yao +3 more
doaj +1 more source