Results 111 to 120 of about 9,064 (154)
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GENERALIZATION OF CONVEX FUNCTION
jnanabha, 2023In this paper, We established a new class of convex function (φ1, φ2) − β-convex, which includes many well-known classes as its subclasses. We defined (φ1, φ2) −β-convex function and discussed various properties with non-differentiable and differentiable cases.
Himanshu Tiwari, D. B. Ojha
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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 and generalized subdifferential
Optimization Letters, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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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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Stable generalization of convex functions
Optimization, 1996A 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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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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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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