Convex Sets and Convex Functions
On geodesic strongly E convex sets and geodesic strongly E convex functions
... E-convex sets and geodesic E-convex functions on a Riemannian manifold are extended to the so-called geodesic strongly E-convex sets and geodesic strongly E-convex ...
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Some properties of harmonic convex and harmonic quasi-convex functions
... of convex sets and functions. Several new classes of convex sets and convex functions have been introduced and investigated, which make this area of research very ...
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geodesic ϕ-convex functions
... Convex sets and convex functions play an important role in the study of the theory of nonlinear programming and ...geodesic convex function arises naturally on a complete Riemannian ...
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Analysis of Convex Functions
... of convex functions entails a powerful and elegant interaction be- tween analysis and ...any convex functional is also continuous (at least on the interior of the ...domain). Convex hull of a ...
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On the Spherical Quasi-convexity of Quadratic Functions on Spherically Subdual Convex Sets
... preserve convex sets. Moreover, the composition of convex and quasi-convex functions with isometries is also convex and quasi-convex functions, ...
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Adaptive Estimation of Planar Convex Sets
... monotone functions (see Chatterjee et al. [10]) and convex regression where one gets automatic adaptation for piecewise affine convex functions (see Guntuboyina and Sen ...
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The e-support function of an e-convex set and conjugacy for e-convex functions
... e-convex sets and a conjugation scheme for e-convex ...of Convex Analysis is not appropriate for e-convex sets, since dif- ferent e-convex sets may have the same ...
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Convex combinations, barycenters and convex functions
... Sets with the common barycenter are observed in geometry, mechanics dealing with mass densities and probability theory in the study of random variables. Development and appli- cation of the theory of convex ...
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Notions of generalized s convex functions on fractal sets
... Full list of author information is available at the end of the article Abstract The purpose of this article is to present some new inequalities for products of generalized convex and generalized s-convex ...
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Evenly convex sets, and evenly quasiconvex functions, revisited
... evenly convex sets and evenly quasiconvex functions, gives references to the corresponding sources where they have been published, tries to provide a uniform terminology and notation, and finally ...
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Shortest Paths in Graphs of Convex Sets
... mixed-integer convex formulation of the problem that can be effectively solved to global ...perspective functions: a tool from convex analysis which in the recent years has seen a multitude of ...
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Motzkin decomposition of closed convex sets
... polyhedral convex set can be expressed as the (Minkowski) sum of a polytope and a polyhedral convex ...closed convex sets in …nite di- mensional Euclidean spaces which are the sum of a compact ...
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Convex functions
... Zagar, Susanna Maria, "Convex functions" (1996). Theses Digitization Project. 986. https://scholarworks.lib.csusb.edu/etd-project/986 This Thesis is brought to you for free and open access by the John M. ...
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Convex sets and inequalities
... 1. Concept and fundamental result Given a natural correspondence between a family of inequalities and a closed convex set in a topological linear space, one might expect that an inequality corresponding to a ...
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Half convex functions
... right convex if it is convex on I x≥c for some point c ∈ I ...left convex function is similarly defined on the interval I x≤c ...half convex if it is right or left ...
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A note on convex functions
... a convex function. We also present some results for convex functions, strictly convex functions, and quasi-convex ...phrases. Convex functions, lower ...
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Classes of convex functions
... Hallenbeck, Convex hulls and extreme points of some families of univalent functions , TransJ. Minda, Uniformly convex functions , Ann.[r] ...
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Subordination by convex functions
... further increased the constant to 4 − √ 13 = 0.3944 ... . Here, we consider the problem of Robinson when g ∈ K and K(1/2), respectively. (It is easy to see that g(z) +zg (z) is close-to-convex and hence univalent ...
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Subordination by convex functions
... Attiya, Some subordination results associated with certain subclasses of analytic functions, Journal of Inequalities in Pure and Applied Mathematics 5 (2004), noV. Wilf, Subordinating fa[r] ...
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Convex and Concave Functions
... study convex and concave functions and use them to drive arithmetic-geometric mean inequality, A-G-H mean inequality, Chebyshey's inequality, Holder inequality, Minkowski's inequality and Jensen's ...
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