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Nonnegative matrix factorization incorporating domain specific constraints for four dimensional scanning transmission electron microscopy. [PDF]
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Duality for Closed Convex Functions and Evenly Convex Functions
Journal of Optimization Theory and Applications, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Volle, M. +2 more
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On approximately $t$-convex functions
Publicationes Mathematicae Debrecen, 2005Let \(\varepsilon =(\varepsilon _{o},\dots,\varepsilon _{k})\in [ 0,\infty [ ^{k+1}, p=(p_{o},\dots,p_{k})\in [ 0,1[^{k+1}\) and \(t\in ]0,1[\) be fixed parameters. A real valued function \(f\) defined on an open convex set \(D\) is called \((\varepsilon ,p,t)-\) convex if it satisfies \[ f(tx+(1-t)y)\leq tf(x)+(1-t)f(y)+\sum_{i=0}^{k}\varepsilon _{i ...
Házy, Attila, Páles, Zsolt
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Commentationes Mathematicae, 2017
Summary: We introduce a new class of generalized convex functions called the \(\kappa\)-convex functions, based on Korenblum's concept of \(\kappa\)-decreasing functions, where \(\kappa\) is an entropy (distortion) function. We study continuity and differentiability properties of these functions, and we discuss a special subclass which is a counterpart
Lopez, Lorena Maria +2 more
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Summary: We introduce a new class of generalized convex functions called the \(\kappa\)-convex functions, based on Korenblum's concept of \(\kappa\)-decreasing functions, where \(\kappa\) is an entropy (distortion) function. We study continuity and differentiability properties of these functions, and we discuss a special subclass which is a counterpart
Lopez, Lorena Maria +2 more
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Canadian Journal of Mathematics, 1970
In what follows, we suppose that ƒ(z) = Σ0∞anzn is regular for |z| < 1. LetandThen (see, for example, [6, pp. 235-236]), for 0 ≦ r < ρ < 1, we have:The following results are well known.
Başgöze, T. +2 more
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In what follows, we suppose that ƒ(z) = Σ0∞anzn is regular for |z| < 1. LetandThen (see, for example, [6, pp. 235-236]), for 0 ≦ r < ρ < 1, we have:The following results are well known.
Başgöze, T. +2 more
openaire +2 more sources