Results 231 to 240 of about 3,567,722 (263)
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On Generalized Convexity of Nonlinear Complementarity Functions
Journal of Optimization Theory and Applications, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Seyed Mohsen Miri, Sohrab Effati
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Generalized Characterization of the Convex Envelope of a Function
RAIRO - Operations Research, 2002Summary: We investigate the minima of functionals of the form \[ \int_{[a,b]} g(\dot u(s)) \,ds, \] where \(g\) is strictly convex. The admissible functions \(u: [a,b]\to \mathbb{R}\) are not necessarily convex and satisfy \(u\leq f\) on \([a,b]\), \(u(a)= f(a)\), \(u(b)= f(b)\), \(f\) is a fixed function on \([a,b]\).
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Expansions of Generalized Completely Convex Functions
SIAM Journal on Mathematical Analysis, 1979The concept of a generalized completely convex function is extended arid a unified presentation is developed for expanding such functions by Taylor–Lidstone series. It is shown that these expansions are in fact tantamount to representation theorems for the elements of the cone of generalized completely convex functions in terms of the extreme rays.
Amir, Dan, Ziegler, Zvi
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On generalized convex functions
Mathematische Operationsforschung und Statistik. Series Optimization, 1983This paper deals with an extension of Beckenbach's classical generalized convexity notion, called F-convexity, in such a manner that much of, “modern”convexities of functions on the Euclidean R n(as log-, ω-, [explicit] quasi- or K- convexicity can be included.
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Maximization of Generalized Convex Functionals in Locally Convex Spaces
Journal of Optimization Theory and Applications, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A generalization of Mercer’s result on convex functions
Nonlinear Analysis: Theory, Methods & Applications, 2009A generalization of Mercer's result related to a Jensen type inequality together with extension to pairs of similarly separable \(m\)-tuples are presented. Some applications to different kind of tuples are also given.
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Holomorphic Convexity for General Function Algebras
Canadian Journal of Mathematics, 1968In previous papers (7; 8), we have investigated certain properties of general function algebras which may be regarded as generalizations or analogues of familiar results in the theory of analytic functions of several complex variables. This investigation is continued and expanded in the present paper.
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General Sufficient Conditions for the Convexity of a Function
Zeitschrift für Analysis und ihre Anwendungen, 1992Sufficient conditions for a given function to be convex on a given segment, in terms of upper subderivative, are proved.
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2001
A functional operation that generates convex functions on ℝ n +m from convex functions on ℝ n and ℝ m originated from the study of the multiplicative potential function. We review some of the properties of this functional operation, including associativity, right distributivity with respect to addition and left distributivity with respect to infimal ...
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A functional operation that generates convex functions on ℝ n +m from convex functions on ℝ n and ℝ m originated from the study of the multiplicative potential function. We review some of the properties of this functional operation, including associativity, right distributivity with respect to addition and left distributivity with respect to infimal ...
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THE GENERAL THEORY OF RELAXATION PROCESSES FOR CONVEX FUNCTIONALS
Russian Mathematical Surveys, 1970zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lyubich, Yu. I., Maĭstrovskiĭ, G. D.
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