We introduce the notion of $m$-polynomial harmonically convex interval-valued function. A relationship between a given function and its component real-valued functions is pointed out. Moreover, some new Hermite--Hadamard type results are established for this class functions. Our complement extend existing in literature. By taking $m\geq 2$, we derive loads interesting inclusions. anticipate tha...

the aim of this paper is to study the categorical relations betweenmatroids, goetschel-voxman’s fuzzy matroids and shi’s fuzzifying matroids.it is shown that the category of fuzzifying matroids is isomorphic to that ofclosed fuzzy matroids and the latter is concretely coreflective in the categoryof fuzzy matroids. the category of matroids can be embedded in that offuzzifying matroids as a simul...

In this paper, we give a fundamental convexity preserving for spectral functions. Indeed, we investigate infimal convolution, Moreau envelope and proximal average for convex spectral functions, and show that this properties are inherited from the properties of its corresponding convex function. This results have many applications in Applied Mathematics such as semi-definite programmings and eng...

We derive the spacetime superalgebras explicitly from “test” M-brane actions in Mbrane backgrounds to the lowest order in θ via canonical formalism, and discuss various BPS saturated configurations, based on their central charges which depend on the harmonic functions determined by the backgrounds. All the 1/4 supersymmetric intersections of two M-branes obtained previously are deduced from the...