[PDF] Top 20 A Generalization of f-Divergence Measure to Convex Functions Defined on Linear Spaces
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A Generalization of f-Divergence Measure to Convex Functions Defined on Linear Spaces
... erent convex functions generating particular diver- gence measures such as the Kullback-Leibler, Je¤ reys or Hellinger divergences, that one can obtain some particular results of ... See full document
12
Some Slater's Type Inequalities for Convex Functions Defined on Linear Spaces and Applications
... The main aim of the present paper is to extend Slater’s inequality for convex functions de…ned on general linear spaces. A reverse of the Slater’s inequality is also obtained. Natural ... See full document
13
Inequalities in Terms of the Gâteaux Derivatives for Convex Functions in Linear Spaces with Applications
... normalized convex functions that generates the Kullback-Leibler, Je¤ reys, Hellinger or other divergence measures or discrepancies, that one can obtain some results of ... See full document
16
Jensen’s and Hermite–Hadamard’s Type Inequalities for Lower and Strongly Convex Functions on Normed Spaces
... strongly convex functions defined on convex subsets in normed linear ...univariate functions of real variable and the connections with earlier Hermite–Hadamard’s type ... See full document
13
Double integral inequalities of Hermite-Hadamard type for h-convex functions on linear spaces
... 2 , a, b ∈ ℝ , a < b, (1.1) holds for any convex function f defined on ℝ . It was first discovered by Hermite and was published in 1881 in the journal Mathesis (see [40]). But this result was ... See full document
10
New convex functions in linear spaces and Jensen’s discrete inequality
... of convex functions have been proved useful for developing suitable optimization problems (see ...Orlicz spaces. s-Orlicz convex sets and s-Orlicz convex mappings in lin- ear ... See full document
8
Superadditivity of Some Functionals Associated to Jensen's Inequality for Convex Functions on Linear Spaces with Applications
... Motivated by the above results, we introduce in the present paper a more general functional, establish its main properties and use it for some particular cases that provide inequalities of interest. Applications for norm ... See full document
16
n-Points Inequalities of Hermite-Hadamard Type for h-Convex Functions on Linear Spaces
... of functions of real variables was obtained for the first time in ...h-convex functions defined on convex subsets in real or complex linear spaces are ... See full document
20
Some quantum f-divergence inequalities for convex functions of self-adjoint operators
... self-adjoint linear operator on a complex Hilbert space (K; h· , ·i ) ...continuous functions defined on the spectrum of U, denoted Sp (U ) , and the C ∗ -algebra C ∗ (U ) generated by U and the ... See full document
15
Sharp Inequalities of Ostrowski Type for Convex Functions Defined on Linear Spaces and Applications
... general convex functions defined on linear spaces is ...for convex functions defined on linear spaces are derived using the obtained ...normed ... See full document
17
A new quantum f-divergence for trace class operators in hilbert spaces
... self-adjoint linear operator on a complex Hilbert space (K ; h·, ·i) ...continuous functions defined on the spectrum of U, denoted Sp (U), and the C ∗ -algebra C ∗ (U) generated by U and the identity ... See full document
23
Asymmetric locally convex spaces
... a convex subset of a vector space X is called an extreme point of Y provided that (1 − t)x + t y = e, for some x, y ∈ Y and 0 < t < 1, implies that x = y = ...nonempty convex subset Z of Y is called ... See full document
24
Positive operators and approximation in function spaces on completely regular spaces
... positive linear operators (not necessarily of the form ...regular spaces, extending several useful Korovkin-type theorems which have been previously established for compact ... See full document
31
Generalization of Integral Inequalities for Product of Convex Functions
... namely, convex analysis. A largely applied inequality for convex functions, due to its geometrical significance, is the Hermite-Hadamard’s inequality which has generated a wide range of directions ... See full document
6
Improvements of the Hermite Hadamard inequality for the simplex
... multivariable convex func- tions. As regards univariable convex functions, using the Lebesgue measure on R and a closed interval as -simplex in Lemma ...following generalization of the ... See full document
12
Superadditivity and Monotonicity of Some Functionals Associated with the Hermite-Hadamard Inequality for Convex Functions in Linear Spaces
... a convex function f : C X ! R de…ned on the convex subset C in the real linear space X and two distinct vectors x; y 2 C ...by f (1 t) x + ty, t 2 [0; 1] g : We also de…ne the ... See full document
9
An inequality related to $\eta$-convex functions (II)
... of convex functions makes it attractive to study this kind of functions in mathematical ...about convex functions are required to obtain applicable ...on generalization of notion ... See full document
7
Semistrict G preinvexity and its application
... tiable convex functions and proved the sufficiency of Kuhn-Tucker ...preinvex functions, and they also studied how and where preinvex functions can replace convex functions in an ... See full document
11
Order generalised gradient and operator inequalities
... of convex functions is the fact that their one- sided directional derivatives exist universally [, ...a convex function f : K ⊂ R n → ... See full document
23
Complex Function Theory for Functions with Arguments and Values in Locally Convex Linear Topological Spaces
... a theory of analytic functions is developed for functions of a complex variable with values in a sequentially complete locally convex complex linear topological space l.t.s... The theory[r] ... See full document
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