we derive whole series of new integral inequalities of the hardy-type, with non-conjugate exponents. first, we prove and discuss two equivalent general inequa-li-ties of such type, as well as their corresponding reverse inequalities. general results are then applied to special hardy-type kernel and power weights. also, some estimates of weight functions and constant factors are obtained. ...

We investigate lifting i e the process of taking a valid inequality for a polyhe dron and extending it to a valid inequality in a higher dimensional space Lifting is usually applied sequentially that is variables in a set are lifted one after the other This may be computationally unattractive since it involves the solution of an optimization problem to compute a lifting coe cient for each varia...

Abstract We introduce a new approach for creating pointwise confidence intervals the distribution of event times current status data. Existing methods are based on asymptotics. Our is binomial properties and motivates that very simple to apply valid guarantee nominal coverage. Although these necessarily conservative small sample sizes, asymptotically their coverage rate approaches one. This als...

DIRK OLIVER THEIS ABSTRACT. Let P be a d-dimensional polyhedron in Rd and S a non-empty proper face. The trivial fact that every linear inequality which is valid for P is also valid for P is can be understood as a projective mapping π : P → S from the polar of P to the polar of S. This mapping defines a subdivision of S by taking all intersections of images of faces of P. In this paper we inves...

In the field of geometric inequalities, the expression Bonnesen type is used after Bonnesen clasical refinement of the isoperimetric inequality (cf., for instance, [Os1], [Os2]), where the deviation from the case of equality (the disc) is given in terms of the outer radius and the inradius of a bounded convex body. The term stability type inequality is also used in a related way (cf. [Gr]), mea...

Generalized strongly -convex functions of higher order is a new concept convex which introduced by Saleem et al. in 2020. The Schur type inequality for generalized also studied them. This paper aims to revise their paper. In it, we show that the contradiction was true. showed previously not valid and give correct

In this paper a mixed integer set resulting from the intersection of a single constrained mixed 0-1 set with the vertex packing set is investigated. This set arises as a subproblem of more general mixed integer problems such as inventory routing and facility location problems. Families of strong valid inequalities that take into account the structure of the simple mixed integer set and that of ...

Two-stage stochastic mixed-integer programming (SMIP) problems with recourse are generally difficult to solve. This paper presents a first computational study of a disjunctive cutting plane method for stochastic mixed 0-1 programs that uses lift-and-project cuts based on the extensive form of the two-stage SMIP problem. An extension of the method based on where the data uncertainty appears in t...

We present solutions to the Eshelby conjectures based on a variational inequality. We first discuss the meanings of the original Eshelby’s statement. By Fourier analysis, we establish the connection between the homogeneous Eshelby inclusion problem and the classic Newtonian potential problem. We then proceed to the solutions of the Eshelby conjectures. Under some hypothesis on the material prop...

We define display calculi for nominal tense logics extending the minimal nominal tense logic ( ) by addition of primitive axioms. To do so, we use the natural translation of into the minimal tense logic of inequality ( ) which is known to be properly displayable by application of Kracht’s results. The rules of the display calculus Æ for mimic those of the display calculus Æ for . We show that e...