In the approximation theory, polynomials are particularly positive linear operators. Nonlinear positive operators by means of maximum and product were introduced by B. Bede. In this paper, the max-product of Bernstein ...

Our interest in this paper is to analyze the asymptotic behavior of a Bresse system together with three boundary controls, with delay terms in the first, second,  and third equations. By using the  semigroup ...

A stack on a nonempty set $X$ is a collection of nonempty subsets of $X$ that is closed under the operation of superset. Let $(X, tau)$ be an arbitrary topological space with a stack $mathcal{S}$, and let $X^*=X cup ...

Let $A$ be a commutative ring. An ideal $I$ of $A$ is radically principal if there exists a principal ideal $J$ of $A$ such that $sqrt{I}=sqrt{J}$. The ring $A$ is  radically principal if every ideal of $A$ is radically ...

Anderson's theorem states that if the  numerical range of an $ntimes n$ matrix is contained in the closed unit disk  and intersects with the unit circle at more than $n$ points, then the numerical range coincides with the ...

The distinguishing number (index)  of a graph $G$ is the least integer $d$ such that $G$ has a vertex labeling (edge labeling)  with $d$ labels  that is preserved only by the trivial automorphism. A set $S$ of vertices ...

It is known  that if the second dual $A^{**}$ of a Banach algebra $A$ is Arens regular, then  $A$ is Arens regular itself. However, the converse is not true, in general. Young  gave an example of an Arens regular Banach ...

Let $R$ be a commutative ring with identity,  let $ I $ be a proper ideal of $ R $, and let  $ n ge 1 $ be a positive integer. In this paper, we introduce a class of ideals that is closely related to the class of $I$-prime ...

We prove the existence of admissible inertial manifolds for the second order in time evolution equations of the form $$ ddot{x}+2varepsilon dot{x}+Ax=f(t,x)$$ when $A$ is positive definite and self-adjoint ...

We derive the approximation of differences of operators. Firstly, we study quantitative estimates for the difference of generalized  Szász operators with generalized Szász-Durrmeyer, Szász-Puãltvänea  operators, and ...