Results 121 to 130 of about 1,015,138 (226)

On 𝑛-parameter families of functions and associated convex functions [PDF]

, 1950
Leonard Tornheim
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Remarks on the $Γ$-regularization of Non-convex and Non-semi-continuous Functions on Topological Vector Spaces [PDF]

Journal of Convex Analysis 19(2):467-483 (2012), 2016
We show that the minimization problem of any non-convex and non-lower semi-continuous function on a compact convex subset of a locally convex real topological vector space can be studied via an associated convex and lower semi-continuous function $\Gamma \left( h\right) $. This observation uses the notion of $\Gamma $-regularization as a key ingredient.
arxiv  

Approximation of Convex Functions

Real Analysis Exchange, 2004
In this note we give an elementary proof that an arbitrary convex function can be uniformly approximated by a convex \cinf-function on any closed bounded subinterval of the domain. An interesting byproduct of our proof is a global equation for a polygonal (piecewise affine) function.
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Support, convergence, and differentiability properties of generalized convex functions [PDF]

, 1953
John W. Green
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Improvement of Jensen, Jensen-Steffensen's, and Jensen's functionals related inequalities for various types of convexity [PDF]

arXiv
In this paper we deal with improvement of Jensen, Jensen-Steffensen's and Jensen's functionals related inequalities for uniformly convex, phi-convex and superquadratic functions.
arxiv  

Linear estimation of the mean value of a stationary random process with convex correlation function [PDF]

, 1956
Jaroslav Hájek
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On uniformly convex functions

Journal of Mathematical Analysis and Applications, 1983
AbstractIn this paper we study uniformly convex functions and uniformly convex functions at a point, giving some properties and characterizations of them. Further, we give some examples and applications of these types of functions.
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Characterization of the subdifferentials of convex functions [PDF]

, 1966
R. T. Rockafellar
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Holomorphic functions with values in locally convex spaces and applications to integral formulas [PDF]

, 1964
Lutz Bungart
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On the monotonicity of the gradient of a convex function [PDF]

, 1964
George J. Minty
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