In this paper, we obtain Jensen’s inequality for GG-convex functions. Also, we get in- equalities alike to Hermite-Hadamard inequality for GG-convex functions. Some examples are given.

and Applied Analysis 3 If one of the following conditions ii ψ ◦ φ−1 is concave and ψ−1 is operator monotone, ii′ ψ ◦ φ−1 is convex and −ψ−1 is operator monotone, is satisfied, then the reverse inequality is valid in 1.7 . In this paper we study an extension of Jensen’s inequality given in Theorem A. As an application of this result, we give an extension of Theorem B for a version of the quasia...

if global trade were fair, it is argued, then international aid would be unnecessary and inequalities inherent to the economic system would be justifiable. here, we argue that while global trade is unfair, in part because richer countries set the rules, we believe that additional interventions must go beyond trade regulation and short-term aid to redress inequalities among countries that will p...

Objective: To study the association between cervical insufficiency and single nucleotide polymorphisms in seven genes coding for proand anti-inflammatory cytokine-related factors, mannose-binding lectin 2 (MBL2) , collagen1α1 (COL1A1) , factor II and factor V Leiden genes. Methods: In a case-control study, potential maternal biomarkers for cervical insufficiency were investigated in 30 women wi...

Objective: To study the association between cervical insufficiency and single nucleotide polymorphisms in seven genes coding for proand anti-inflammatory cytokine-related factors, mannose-binding lectin 2 (MBL2) , collagen1α1 (COL1A1) , factor II and factor V Leiden genes. Methods: In a case-control study, potential maternal biomarkers for cervical insufficiency were investigated in 30 women wi...

in this paper, we introduce a new concept of volumes difference function of the projection and intersection bodies. following this, we establish the minkowski and brunn-minkowski inequalities for volumes difference function of the projection and intersection bodies.

In this paper we prove a sharp affine Lp Sobolev inequality for functions on R. The new inequality is significantly stronger than (and directly implies) the classical sharp Lp Sobolev inequality of Aubin [A2] and Talenti [T], even though it uses only the vector space structure and standard Lebesgue measure on R. For the new inequality, no inner product, norm, or conformal structure is needed at...