‎in this paper‎, ‎some kkt type sufficient global optimality conditions‎ ‎for general mixed integer nonlinear programming problems with‎ ‎equality and inequality constraints (minpp) are established‎. ‎we achieve‎ ‎this by employing a lagrange function for minpp‎. ‎in addition‎, ‎verifiable sufficient global optimality conditions for general mixed‎ ‎integer quadratic programming problems are der...

In the present paper, we refine notion of partial modular metric defined by Hosseinzadeh and Parvaneh to eliminate occurrence discrepancies in non-zero self-distance triangular inequality. support this, discuss non-trivial examples. Finally, prove a common fixed-point theorem for four self-mappings space an application our result; existence solution system Volterra integral equations is discuss...

Let X be a smooth projective minimal 3-fold of general type. We prove the sharp inequality K X ≥ 2 3 (2pg(X)− 5), an analogue of the classical Noether inequality for algebraic surfaces of general type.

We examine the relationship between risk analysis and inequality analysis, using a questionnaire-experimental approach .The experiments focus on the effect of income transformations on the perceived rankings of income distributions in either a risk or inequality context. Both context and income levels are important in inßuencing rankings. Our thanks go to Stuart Birks, Rolf Cremer Wulf Gaertner...

the notation ∑[ and ∑∗ denoting, respectively, a sum over squarefree integers, and one over integers coprime with the (implicit) modulus, which is q here. By work of Montgomery-Vaughan and Selberg, it is known that one can take ∆ = Q − 1 +N (see, e.g., [IK, Th. 7.7]). There are a number of derivations of (1) from (2); for one of the earliest, see [M1, Ch. 3]. The most commonly used is probably ...

provided (Xn) are either symmetric or positive, and in the first case p ≥ 2, and in the second case p ≥ 1. The main novelty here is the fact that, contrary to the classical inequalities, the constants here are independent of p. Certain particular cases of Lata la’s result had been known earlier (see e.g. Hitczenko (1993), Gluskin and Kwapień (1995) or Hitczenko, Montgomery-Smith and Oleszkiewic...

1 We study relationships between Logarithmic Sobolev inequalities with one parameter of Davies-Simon type, energy-entropy inequality, Nash-type inequality and Sobolev-type inequalities. The inequalities of Sobolev-type apply in the general setting of symmetric sub-Markovian semigroups (and some generalizations). We provide several examples of application of theses results for ultracontractive s...

We consider a vector kinetic BGK equation leading to isentropic gas dynamics in the relaxation limit. We prove the existence of a weak solution satisfying a kinetic entropy inequality for any initial data with nite energy. Key-words: isentropic gas dynamics { kinetic BGK model { kinetic entropy Mathematics Subject Classi cation: 35L65, 76N15, 35B35, 82C40 Work partially supported by European TM...

Given a nite set V and a set function f : 2 V 7! Z, we consider the problem of constructing an undirected multigraph G = (V;E) such that the cut function c G : 2 V 7! Z of G and f together has value at least 2 for all non-empty and proper subsets of V . If f is intersecting submodular and posi-modular, and satis es the tripartite inequality, then we show that such a multigraph G with the minimu...