Abstract In nice environments, such as Lipschitz or chord-arc domains, it is well-known that the solvability of Dirichlet problem for an elliptic operator in $$L^p$$ L p , some finite p equivalent to fact associated measure belongs Muckenhoupt class $$A_\infty $$ <mml:m...

this paper presents characterizations of m-fuzzifying matroids bymeans of two kinds of fuzzy operators, called m-fuzzifying derived operatorsand m-fuzzifying difference derived operators.

We prove that for any even algebraic polynomial $p$ one can find a cosine with an arbitrary small $l_1$-norm of coefficients such the first its representation as in $\cos x$ coincide those $p$.

we characterize compact composition operators on real banach spaces of complex-valued bounded lipschitz functions on metric spaces, not necessarily compact, with lipschitz involutions and determine their spectra.

Given a point s and a set of h pairwise disjoint polygonal obstacles with a total of n vertices in the plane, after the free space is triangulated, we present an O(n + h log h) time and O(n) space algorithm for building a data structure (called shortest path map) of size O(n) such that for any query point t, the length of the L1 shortest obstacle-avoiding path from s to t can be reported in O(l...

‎in this short note‎, ‎we present some inequalities for relative operator entropy which are generalizations of some results obtained by zou [operator inequalities associated with tsallis relative operator entropy‎, ‎{em math‎. ‎inequal‎. ‎appl.}‎ ‎{18} (2015)‎, ‎no‎. ‎2‎, ‎401--406]‎. ‎meanwhile‎, ‎we also show some new lower and upper bounds for relative operator entropy and tsallis relative o...