Results 141 to 150 of about 236,899 (174)

Holomorphic Convexity for General Function Algebras

Canadian Journal of Mathematics, 1968
In 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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Stable generalization of convex functions

Optimization, 1996
A kind of generalized convex functions is said to be stable with respect to some property (P) if this property is maintaincd during an arbitrary function from this class is disturbed by a linear functional with sufficiently small norm. Unfortunately. known generallzed convexities iike quasicunvexity, explicit quasiconvexity. and pseudoconvexity are not
H. X. Phu, P. T. An
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Generating Convex Functions

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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Maximization of Generalized Convex Functionals in Locally Convex Spaces

Journal of Optimization Theory and Applications, 2004
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On Generalized Convexity of Nonlinear Complementarity Functions

Journal of Optimization Theory and Applications, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Miri, S. Mohsen, Effati, Sohrab
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Note on generalized convex functions

Journal of Optimization Theory and Applications, 1990
An important class of generalized convex functions, called invex functions, is defined under a general framework, and some properties of the functions in this class are derived. It is also shown that a function is (generalized) pseudoconvex if and only if it is quasiconvex and invex.
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Convexity Conditions for Generalized Riemann Derivable Functions

Acta Mathematica Hungarica, 1999
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Mitra, Subhen, Mukhopadhyay, S. N.
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Hermite?Hadamard inequalities for generalized convex functions

Aequationes mathematicae, 2005
Let \(\mathbf{\omega}=(\omega_{1},\ldots,\omega_{n})\) be a Tchebychev system on an interval \([a,b].\) A function \(f:[a,b]\rightarrow\mathbb{R}\) is called generalized \(n\)-convex with respect to \(\mathbf{\omega}\) if for all \(x_{0}
Bessenyei, Mihály, Páles, Zsolt
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Convex Functions and Generalized Convex Functions

2023
Giorgio Giorgi, Bienvenido Jiménez, Vicente Novo   +2 more
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Alternants for generalized convex functions

Numerical Functional Analysis and Optimization, 1986
In this paper we consider the problem of best uniform approximation by elements of WT-spaces. In particular, we investigate the structure of the corresponding error function when the function to be approximated is generalized convex with respect to a WT-space.
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