Results 291 to 300 of about 343,821 (333)

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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LOCAL FRACTIONAL OSTROWSKI-TYPE INEQUALITIES INVOLVING GENERALIZED h-CONVEX FUNCTIONS AND SOME APPLICATIONS FOR GENERALIZED MOMENTS

Fractals, 2020
In this paper, we establish some local fractional Ostrowski-type integral inequalities for generalized [Formula: see text]-convex functions on real linear fractal set [Formula: see text]. We present two examples to illustrate our main results.
Wenbing Sun
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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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Some new inequalities for generalized h‐convex functions involving local fractional integral operators with Mittag‐Leffler kernel

Mathematical methods in the applied sciences, 2020
In this paper, we firstly construct two local fractional integral operators with Mittag‐Leffler kernel on Yang's fractal sets. Then, two local fractional integral identities with the first‐ and second‐order derivatives are derived.
Wenbing Sun
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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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Hermite‐Hadamard type inequalities for generalized Riemann‐Liouville fractional integrals of h‐convex functions

Mathematical methods in the applied sciences, 2019
In this paper, we establish some Hermite‐Hadamard type inequalities for the Generalized Riemann‐Liouville fractional integrals Ia+,gαf and Ib−,gαf , where g is a strictly increasing function on a,b, having a continuous derivative on a,b and under the ...
S. Dragomir
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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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