ABSTRACT: This survey article illustrates many important current trends and perspectives for the field and their applications, of interest to researchers in modern algebra, mathematical logic and ...

The article is devoted to investigation of the classes of functions belonging to the gaps between classes Pn+1(I) and Pn(I) of matrix monotone functions for full matrix algebras of successive ...

In this paper, we derive a class of approximations of the 𝑞-digamma function 𝜓𝑞(𝑥). The infinite family I a ( x;q )=log [ x+a ] q + q x logq 1− q x −( 1 2 −a )H( q−1 )logq, can be used as ...

ABSTRACT: In this paper, we characterize lower semi-continuous pseudo-convex functions f : X → R ∪ {+ ∞} on convex subset of real Banach spaces K ⊂ X with respect to the pseudo-monotonicity of its ...

Abstract: Monotone span programs are a linear-algebraic model of computation which were introduced by Karchmer and Wigderson in 1993 [1]. They are known to be equivalent to linear secret sharing ...