Inscribed centers, reflexivity, and some applications

On Reflexivity and Hyperreflexivity of Some Spaces of Intertwining Operators

Let T, T ′ be weak contractions (in the sense of Sz.-Nagy and Foiaş), m, m the minimal functions of their C0 parts and let d be the greatest common inner divisor of m, m . It is proved that the space I(T, T ) of all operators intertwining T, T ′ is reflexive if and only if the model operator S(d) is reflexive. Here S(d) means the compression of the unilateral shift onto the space H⊖dH. In parti...

Exp-Kumaraswamy Distributions: Some Properties and Applications

In this paper, we propose and study exp-kumaraswamy distribution. Some of its properties  are derived, including the density function, hazard rate function, quantile function, moments,  skewness  and kurtosis.   Adata set isused to illustrate an application of the proposed distribution. Also, we obtain a new distribution by transformation onexp-kumaraswamy distribution.   New distribution is an...

Some extended Simpson-type inequalities and applications

‎In this paper‎, ‎we shall establish some extended Simpson-type inequalities‎ ‎for differentiable convex functions and differentiable concave functions‎ ‎which are connected with Hermite-Hadamard inequality‎. ‎Some error estimates‎ ‎for the midpoint‎, ‎trapezoidal and Simpson formula are also given‎.

EPI-Retractable Modules and Some Applications

Containment and Inscribed Simplices

Let K and L be compact convex sets in Rn. The following two statements are shown to be equivalent: (i) For every polytope Q ⊆ K having at most n+ 1 vertices, L contains a translate of Q. (ii) L contains a translate of K. Let 1 ≤ d ≤ n − 1. It is also shown that the following two statements are equivalent: (i) For every polytope Q ⊆ K having at most d+ 1 vertices, L contains a translate of Q. (i...