Results 131 to 140 of about 236,899 (174)

GENERALIZATION OF CONVEX FUNCTION

jnanabha, 2023
In 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, 1979
The 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, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On generalized convex functions

Mathematische Operationsforschung und Statistik. Series Optimization, 1983
This 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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