This research aims to present a linear operator Lp,q?,?,?f utilizing the q-Mittag–Leffler function. Then, we introduce subclass of harmonic (p,q)-convex functions HTp,q(?,W,V) related Janowski For p-valent f class, investigate geometric properties, such as coefficient estimates, convex combination, extreme points, and Hadamard product. Finally, closure property is derived using under q-Bernardi...

Let P ⊂ R and Q ⊂ R be integral convex polytopes of dimension d and e which contain the origin of R and R, respectively. In the present paper, under some assumptions, the necessary and sufficient condition for the free sum of P and Q to possess the integer decomposition property will be presented. Introduction A convex polytope is called integral if any of its vertices has integer coordinates. ...

Let $$D\subset {\mathbb {C}}^n$$ be a bounded domain. A pair of distinct boundary points $$\{p,q\}$$ D has the visibility property provided there exist compact subset $$K_{p,q}\subset D$$ and open neighborhoods $$U_p$$ p $$U_q$$ q, such that real geodesics for Kobayashi metric which join in intersect $$K_{p,q}$$ . Every Gromov hyperbolic convex domain enjoys any couple points. The Goldilocks do...

Let P b e a measurable transformation on a measure space (Q, Cfc, P ) , with 0<P(£2) < oo. Call T absolutely continuous if P(A) = 0 implies P(T~*A)=0. The transformation T is said to have the Birkhoff recurrence property if, for each -4EG*, limn-co(lA0 2"~o XA{T 'CO) exists for almost all co£0. I t has been shown that if T is absolutely continuous and has the Birkhoff recurrence property, then ...

Let n be a non-negative integer and k be a positive integer. A digraph D is said to have property Q(n, k) if every subset of n vertices of D is dominated by at least k other vertices. For q == 5 (mod 8) a prime power, we define the quadruple Payley digraph D~4) as follows. The vertices of D~4) are the elements of the finite field F q' Vertex a is joined to vertex b by an arc if and only if a b ...

Suppose that the consumption side of a constant returns production economy is described by an excess demand function f: R’,, -+ R’ satisfying the usual properties of continuity, homogeneity of degree zero, and p. f( p) = 0 for all p. A property of central importance is the Weak Axiom of Revealed Preference (WA). The excess demand function f satisfies WA iff(p)#f(q) and q.f(p)O....

Weighted automata and transducers are powerful devices used in many large-scale applications. The efficiency of these applications is substantially increased when the automata or transducers used are deterministic. There exists a general determinization algorithm for weighted automata and transducers that is an extension of the classical subset construction used in the case of unweighted finite...

If every perfect matching of a graph G extends to Hamiltonian cycle, we shall say that has the PMH-property—a concept first studied in 1970s by Las Vergnas and Häggkvist. A pairing is complete having same vertex set as G. somewhat stronger property than PMH-property following. PH-property if can be extended cycle underlying using only edges from The name for latter was coined 2015 Alahmadi et a...

The quantitative structure-property relationship (QSPR) method is used to develop the correlation between structures of refrigerants (198 compounds) and their critical temperature. Molecular descriptors calculated from structure alone were used to represent molecular structures. A subset of the calculated descriptors selected using a genetic algorithm (GA) was used in the QSPR model development...

We establish Arazy–Cwikel type properties for the family of couples $$ (\ell ^{p},\ell ^{q})$$ , $$0\le p<q\le \infty and show that $$(\ell ^{q}) is a Calderón–Mityagin couple if only $$q\ge 1$$ . Moreover, we identify interpolation orbits elements with respect to this all p q such obtain simple positive solution Levitina–Sukochev–Zanin problem, clarifying its connections whether has property o...