Results 181 to 190 of about 31,156 (211)
Iterates of Monotone and Sublinear Operators on Spaces of Continuous Functions
The well-known results on iterates of positive and linear operators, defined on the spaces of continuous on \([0,1]\) functions are extended to the case of monotone and sublinear operators. We present one characteristic result. Let \(T_n:C[0,1]\rightarrow C[0,1],\ n\in\mathbb {N}\), be a sequence of monotone, sublinear, unitial and translatable ...
Sorin G. Gal
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Solvability results for sublinear functions and operators
The author finds some asymptotic solvability results which yield a duality result for homogeneous programming and an analog of the Farkas lemma for sublinear operators. Applications to necessary optimality conditions for nonlinear programming are given.
Constantin Zălinescu
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Sublinearity and Support Functions
1993In classical real analysis, the simplest functions are linear. In convex analysis, the next simplest convex functions (apart from the affine functions, widely used in §B.1.2), are so-called sublinear. We give three motivations for their study.
Jean-Baptiste Hiriart-Urruty +1 more
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Sublinear functionals and conical measures
Archiv der Mathematik, 2001Let \(E\) be a real vector space. Denote by \(E^*\) the algebraic dual of \(E\) and fix a linear subspace \(F\) of \(E^*\) which separates the points of \(E\). Let, further, \(s(E,F)\) stand for the collection of pointwise suprema of finite subsets of \(F\). This is a convex cone in \(\mathbb R^E\).
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Commutators of Multi-sublinear Maximal Functions with Lipschitz Functions
Results in Mathematics, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Disintegration of dominated monotone sublinear functionals on the space of measurable functions
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
А. А. Лебедев
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Moreau-Rockafellar equality for sublinear functionals
Ukrainian Mathematical Journal, 1989See the review in Zbl 0688.46022.
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A sublinear Sobolev inequality for $p$-superharmonic functions
Proceedings of the American Mathematical Society, 2016In his Theorem 1.4 the author establishes a ``sublinear'' Sobolev inequality of the form \[ \left(\int_{{\mathbb{R}}^n}u^{\frac{nq}{n-q}}\,dx\right)^{\frac{n-q}{nq}}\leq C\, \left(\int_{{\mathbb{R}}^n}| Du|^q \,dx\right)^{\frac{1}{q}} \] for all global \(p\)-superharmonic ...
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Sublinear functionals and prices
2007We consider sublinear functionals and we characterise their positivity and monotonicity, showing that such properties represent very natural features for price systems.
CASTAGNOLI E, FAVERO, Gino
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A Tchebysheff-Type Bound on the Expectation of Sublinear Polyhedral Functions
This work presents an upper bound on the expectation of sublinear polyhedral functions of multivariate random variables based on an inner linearization and domination by a quadratic function. The problem is formulated as a semi-infinite program which requires information on the first and second moments of the distribution, but without the need of an ...
José H. Dulá, Rajluxmi V. Murthy
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