[PDF] Top 20 Convex sets and inequalities
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Convex sets and inequalities
... of inequalities and a closed convex set in a topological linear space, one might expect that an inequality corresponding to a special point ...the convex analysis ... See full document
11
Generalized geometrically convex functions and inequalities
... The convex sets and convex functions have been extended and generalized in different directions using innovative ideas to study different problems in a general and unified frame work; see ...of ... See full document
19
Fractional Exponentially m-Convex Functions and Inequalities
... exponential convex func- tions and have shown that the class of exponential convex functions unifies various unrelated ...exponentially convex functions on the convex sets can be ... See full document
15
New general integral inequalities for quasi geometrically convex functions via fractional integrals
... quasi-geometrically convex function is introduced, Hermite-Hadamard’s inequalities for GA-convex functions in fractional integral forms are established, and a new identity for Hadamard fractional ... See full document
15
Superadditivity of Some Functionals Associated to Jensen's Inequality for Convex Functions on Linear Spaces with Applications
... 9 = ; 0: Remark 3. If one chooses di¤ erent examples of convex functions generating the particular divergences mentioned at the beginning of the section, that one can obtain various inequalities of ... See full document
16
On Quasi Convex Functions and Hadamard's Inequality
... In this paper we establish some inequalities of Hadamard’s type involving Godunova-Levin functions, P-functions, quasi-convex functions, J- quasi-convex functions, Wright-convex function[r] ... See full document
12
Generalization of Some Inequalities for Differentiable Co-ordinated Convex Functions With Applications
... integral inequalities for differentiable co- ordinated convex, co-ordinated wright-convex and co-ordinated quasi convex functions are ... See full document
22
Fitting Convex Sets to Data: Algorithms and Applications
... complexity matches the corresponding representation complexity of the images of rank-one matrices in the semidefinite case. As the lifted dimensions p 2 and q in- crease, the computational complexities of the associated ... See full document
193
On the quermassintegrals of convex bodies
... There is a remarkable similarity between inequalities about symmetric functions or determinants of symmetric matrices and inequalities about the mixed volumes of convex bodies.. For exam[r] ... See full document
5
New refinements of the Hadamard inequality on coordinated convex function
... Convex functions have many applications in various areas of science such as management science, finance and engineering. Moreover, numerous extensions and generalizations of convexity have been applied in ... See full document
9
Generalized Beta-Convex Functions and Integral Inequalities
... a convex function, if and if only, if satisfies an integral ...integral inequalities are known as Hermite-Hadanard, Simpson, Trapeziodal and ...integral inequalities are used to find the lower and ... See full document
13
Generalized r-Convex Functions and Integral Inequalities
... of convex functions, which is called generalized convex( ϕ-convex ) ...generalized convex functions are nonconvex ...generalized convex functions, which is called generalized ... See full document
12
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 for ... See full document
6
On geodesic strongly E convex sets and geodesic strongly E convex functions
... Theorem . Let E : N → N be a map, B ⊆ N be a GSEC set, f : B → R be a real-valued function and F : R → R be a map such that F(f (b) + a) = f (E(b)) + a, for each non-negative real number a. Then f is a GSEC function on ... See full document
10
Hermite-Hadamard inequalities for $\mathbb{B}$-convex and $\mathbb{B}^{-1}$-convex functions
... We know that the class of p-functions consists of the class of nonnegative quasi-convex functions. Hence, the Hermite-Hadamard inequality for p-functions is also valid for nonnegative quasi-convex ... See full document
9
Variational inequalities on Hilbert $C^*$-modules
... The theory of variational inequalities is an important domain of pure and applied mathematics, introduced in early sixties, by Stampacchia and Hartman [17]. It developed rapidly because of its applications in ... See full document
11
\((h m)\) convex functions and associated fractional Hadamard and Fejér–Hadamard inequalities via an extended generalized Mittag Leffler function
... on inequalities (1) and (2), and they have produced very interesting results for convex and related functions; for details see [3–7, 12, 16, ...tegral inequalities for (h – m)-convex functions ... See full document
10
On Hadamard Type Inequalities Involving Several Kinds of Convexity
... Hadamard’s inequalities involving two log- convex functions, see 14 and the references cited ...of inequalities 1.7 and new Hadamard-type inequalities involving two log-convex ... See full document
12
Some generalized Hermite Hadamard type integral inequalities for generalized s convex functions on fractal sets
... important inequalities in a classical sit- uation; when α = , some relationships between these inequalities and the classical in- equalities have been ...these inequalities on fractal ... See full document
15
On the Hermite Hadamard Inequality and Other Integral Inequalities Involving Two Functions
... Hermite-Hadamard-type inequalities involving two convex and log-convex functions, ...type inequalities for products of two m-convex and α, m-convex ...companion ... See full document
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