In this paper, we define new subclasses ${S}^{*}_{q}(alpha,Phi),$ ${M}_{q}(alpha,Phi)$ and ${L}_{q}(alpha,Phi)$ of analytic functions in the space of logistic sigmoid functions based on quasi--subordination and determine the initial coefficient estimates $|a_2|$ and $|a_3|$ and also determine the relevant connection to the classical Fekete--Szeg"o inequalities. Further, we discuss the improved ...

The theory of finitary biframes as order-theoretical duals bitopological spaces is explored. category a coreflective subcategory that biframes. Some the advantages adopting pointfree notion bispaces are studied. In particular, it shown for every biframe there which plays role analogue to assembly in frames: L A(L) with universal property analogous frame; and such its main component isomorphic o...

In this paper, we first define soft u-open sets and s-open as two new classes of on bitopological spaces. We show that the class p-open lies strictly between these classes, give several sufficient conditions for equivalence each sets, respectively. addition to these, introduce u-?-open, p-?-open, s-?-open three in spaces, which contain Via notions Lindelöfeness SBTSs. discuss relationship notio...