It has been shown in "On the Hausdorff-Young theorem for commutative hypergroups" by Sina Degenfeld-Schonburg, that one can extend domain of Fourier transform a hypergroup $K$ to $L^p(K)$ $1\leq p \leq 2$, and inequality holds true these cases. In this article, we examine structure non-zero functions which equality is attained inequality, $1<p<2$, further provide characterization basic uncertai...

In this work we introduce the concept of Atanassov’s intuitionistic fuzzy index of a hypergroupoid based on the notion of intuitionistic fuzzy grade of a hypergroupoid. We calculate it for some particular hypergroups, making evident some of its special properties.

Vector sequences which are stationary with respect to polynomial hypergroups arise in various fields, such as stochastic processes and difference equations. In this paper, we discuss analytic properties of these sequences, namely the representation and complexification of the vector sequence.

This paper presents a series of important results from the theory n-hypergroups. Connections with binary relations and lattices are presented. Special attention is paid to fundamental relation commutative relation. In particular, join n-spaces analyzed.