Results 31 to 40 of about 157 (74)
Characterizations of minimal elements of upper support with applications in minimizing DC functions
Open MathematicsIn this study, we discuss on the problem of minimizing the differences of two non-positive valued increasing, co-radiant and quasi-concave (ICRQC) functions defined on XX (where XX is a real locally convex topological vector space).
Mirzadeh Somayeh +2 more
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Characterizations of convexity via Hadamard's inequality
, 2006 The classical Hermite–Hadamard inequality, under some weak regularity conditions, characterizes convexity. The aim of the present paper is to give analogous result for the case of generalized convexity induced by two dimensional Chebyshev systems.
M. Bessenyei, Zsolt Páles
semanticscholar +1 more source
Relative Schur-convexity on global NPC spaces
Mathematical Inequalities & Applications, 2015 We introduce the concept of relative convexity on spaces with global nonpositive curvature and illustrate its usefulness by a number of inequalities involving the convex functions on such spaces.
Constantin P. Niculescu, Ionel Rovența
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A note on Schur-concave functions
, 2012 In this paper we consider a class of Schur-concave functions with some measure properties. The isoperimetric inequality and Brunn-Minkowsky’s inequality for such kind of functions are presented.
Ionel Rovența
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Quasi-convex functions of higher order
Mathematical Inequalities & Applications, 2019 We introduce and investigate the notions of n -quasi-convex as well as strongly n quasi-convex functions with modulus c > 0 . We give characterizations of these functions, which are counterparts of those given for quasi-convex and strongly n -convex ...
J. Mrowiec, T. Rajba
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On the log-convexity of two-parameter homogeneous functions
, 2007 Suppose f (x, y) is a positive homogeneous function defined on U( R+ × R+) , then call ( f (ap ,bp) f (aq ,bq) ) 1 p−q two-parameter homogeneous function and denote by Hf (a, b; p, q) .
Zhen-Hang Yang
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Inequalities with infinite convex combinations in the simplices
Mathematical Inequalities & Applications, 2019 The article deals with convex combinations containing infinite number of terms (infinite convex combinations). The inequalities for convex functions and infinite convex combinations of points from the simplices are investigated.
Zlatko Pavić
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Monotone Valuations on the Space of Convex Functions
Analysis and Geometry in Metric Spaces, 2015 We consider the space Cn of convex functions u defined in Rn with values in R ∪ {∞}, which are lower semi-continuous and such that lim|x| } ∞ u(x) = ∞.
Cavallina L., Colesanti A.
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Schur-convexity of dual form of some symmetric functions
, 2013 By the properties of a Schur-convex function, Schur-convexity of the dual form of some symmetric functions is simply proved.MSC:26D15, 05E05, 26B25.
Huan-Nan Shi, Jing Zhang
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Open MathematicsIn this article, we establish Hermite-Hadamard-type inequalities for the two classes of functions X±λ(Ω)={f∈C2(Ω):Δf±λf≥0}{X}_{\pm \lambda }\left(\Omega )=\{f\in {C}^{2}\left(\Omega ):\Delta f\pm \lambda f\ge 0\}, where λ>0\lambda \gt 0 and Ω\Omega is ...
Dragomir Silvestru Sever +2 more
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