Results 61 to 70 of about 204,408 (187)
Modulus of convexity for operator convex functions [PDF]
Given an operator convex function f(x), we obtain an operator-valued lower bound for cf(x) + (1 − c)f(y) − f(cx + (1 − c)y), c ∈ [0, 1]. The lower bound is expressed in terms of the matrix Bregman divergence. A similar inequality is shown to be false for functions that are convex but not operator convex.
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Convexity of the zeros of some orthogonal polynomials and related functions
We study convexity properties of the zeros of some special functions that follow from the convexity theorem of Sturm. We prove results on the intervals of convexity for the zeros of Laguerre, Jacobi and ultraspherical polynomials, as well as functions ...
Ahmed+17 more
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Un important anniversaire pour la science roumaine
We evocate the foundation, in 1957, of the Institute of Numerical Analysis in Cluj-Napoca, by Tiberiu Popoviciu. We underline the research programme of the Institute and the main results obtained here.
Elena Popoviciu
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Decay rates for a coupled viscoelastic Lamé system with strong damping
In [6] Beniani, Taouaf and Benaissa studied a coupled viscoelastic Lamé system with strong dampings and established a general decay result. In this paper, we continue to study the system.
Baowei Feng, Haiyan Li
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Convexity arbitrage – the idea which does not work
Algorithmic trading, so popular nowadays, uses many strategies that are algorithmizable and promise profitability. This research answers the question whether it is possible to successfully use a convexity arbitrage strategy in a bond portfolio in ...
Bohumil Stádník
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In this paper, approximate convexity and approximate midconvexity properties, called $\varphi$-convexity and $\varphi$-midconvexity, of real valued function are investigated. Various characterizations of $\varphi$-convex and $\varphi$-midconvex functions are obtained.
Makó, Judit, Páles, Zsolt
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The role of Riemann generalized derivative in the study of qualitative properties of functions
Marshal Ash [3] introduced the concept of (sigma,tau) differentiable functions and studied the Riemann generalized derivatives In this article we study the convexity and monotonicity of (sigma,tau) differentiable functions, using results by Hincin ...
Sorin Radulescu+2 more
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CONVEX SEQUENCE AND CONVEX POLYGON
In this paper, we deal with the question; under what conditions the points $P_i(xi,yi)$ $(i = 1,\cdots, n)$ form a convex polygon provided $x_1 < \cdots < x_n$ holds. One of the main findings of the paper can be stated as follows: "Let $P_1(x_1,y_1),\cdots ,P_n(x_n,y_n)$ are $n$ distinct points ($n\geq3$) with $x_1< ...
Goswami, Angshuman Robin+1 more
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Convex-cyclic matrices, convex-polynomial interpolation and invariant convex sets [PDF]
We define a convex-polynomial to be one that is a convex combination of the monomials $\{1, z, z^2, \ldots\}$. This paper explores the intimate connection between peaking convex-polynomials, interpolating convex-polynomials, invariant convex sets, and the dynamics of matrices.
Paul J. McGuire, Nathan S. Feldman
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On Some Idempotent and Non-Associative Convex Structure [PDF]
$\mathbb B$-convexity was defined in [7] as a suitable Kuratowski-Painlev\'e upper limit of linear convexities over a finite dimensional Euclidean vector space.
Briec, Walter
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