in this paper, we study the convexity of the integral operator

In a previous paper, the authors defined a new class ofmultiple-valued logic functions, called multiple-valued majority func-tions. This correspondence clarifies the distinction of multiple-valuedmajority functions from multiple-valued threshold functions through thedifference between a number function and an inner product of an inputvector and a weight vector. Zndcx Terns-I...

In this manuscript, we consider the interpolative contractions mappings via simulation func-tions in the setting of complete metric space. We also express an illustrative example to show the validity of our presented results.

Leclerc’s approach to image reconstruction consists of finding the shortest description of the data (an image) as a model (reconstruction) plus noise [5]. The approach poses two design problems: 1. Define an appropriate description language for image models and noise, 2. Derive an objective function and conceive an optimization algorithm that finds good local minima. Leclerc proposed to model i...

We discuss whether on not it is possible to have interpolatory estimates in the approximation of a function Sobolev`s space by polynomials. The prob-lem positive estimate pointwise degree approxi-mation r times continuously differentiable and func-tions [0, 1]. Estimates form (1) for are known ([1, 2]). problem monotone that estimating de-gree nondecreasing bymonotone were proved [3, 4, 7]. In ...

We obtain residue formulae for certain functions of several vari-ables. As an application, we obtain closed formulae for vector partition func-tions and for their continuous analogs. They imply an Euler-MacLaurin sum-mation formula for vector partition functions, and for rational convex poly-topes as well: we express the sum of values of a polynomial function at alllattice p...

main tains a range of struc tural units that sup port ac tivi ties and func tions which, col lec tively, sus tain an en v i ron ment which sup ports the in tel lec tual en ter prise that is Michi gan State Uni ver sity. Such ac tivi ties and func tions in c lude re search and out reach pro grams; cul tural events; health, coun sel ing, and rec rea tive serv ices; and pub li c in for ma tion. So...