We introduce a reverse variant of the dual immaculate quasisymmetric functions, mirroring dichotomy between Schur functions and Young establish lift this basis to polynomial ring. show that taking stable limits these slide polynomials produces we positive formulas for expansions into fundamental quasi-key bases polynomials. These mirror connections extending from ring full also use provide anal...

in this paper, we first introduce some function spaces, with certain locally convex topologies, closely  related to the space of real-valued continuous functions on $x$,  where $x$ is a $c$-distinguished topological space. then, we show that their dual spaces can be identified in a natural way with certain spaces of radon measures.

Fuzziness is ever presented in real life decision making problems. In this paper, we adapt the pessimistic approach tostudy a pair of linear primal-dual problem under intuitionistic fuzzy (I-fuzzy) environment and prove certain dualityresults. We generate the duality results using exponential membership and non-membership functions to represent thedecision maker’s satisfaction and dissatisfacti...

We define a new basis of quasisymmetric functions, the row-strict dual immaculate as generating function particular set tableaux. establish that this definition gives can also be obtained by applying $\psi$ involution to functions Berg, Bergeron, Saliola, Serrano, and Zabrocki (2014) numerous combinatorial properties for our functions. give an equivalent formulation via Bernstein-like operators...

For weakly regular bent functions in odd characteristic the dual function is also bent. We analyse a recently introduced construction of nonweakly regular bent functions and show conditions under which their dual is bent as well. This leads to the definition of the class of dual-bent functions containing the class of weakly regular bent functions as a proper subclass. We analyse self-duality fo...