Name 
Institution 
Title 
Abstract 
Radu Voichita Adriana

"BabesBolyai" University, ClujNapoca, Romania 
Approximation by Bernstein Type Operators 
In 1912 Bernstein introduce his famous operators in order to prove the Weierstrass approximation theorem. Starting with the approximation properties of Bernstein operators, in the present paper we construct two representations for Inverse Bernstein operators and discuss about asymptotic convergence. We apply a general Voronovskaja type formula, suitable for nonpositive operators. In the second part, we extend the study of Bernstein operators by one of his generalization namely $\lambda$Bernstein operators. This operators was introduce by Cai, Lian and Zhou in 2018 and use a new BernsteinBezier bases. This new BernsteinBezier bases were introduced by Ye, Long and Zeng in 2010, in order to obtained more flexibility by adding the shape parameter $\lambda$. When $\lambda=0$, they reduce to Bernstein fundamental polynomials. In our paper we consider a generalization of the $U^{\rho}_n$ operators introduced in 2007 by Paltanea, using the new BernsteinBezier bases wi
th shape parameter $\lambda$. Some approximation properties are given, including local approximation, error estimation in terms of moduli of continuity and Voronovskajatype asymptotic formulas. Finally, we give some numerical examples and graphs to put in evidence the convergence of our studied operators..

Ratiu Augusta

"Lucian Blaga" University, Sibiu, Romania, "Lucian Blaga" University of Sibiu, Romania 
Constraint method for vector optimization problems 
In this paper, we consider a vector optimization problem. To obtain information about the efficient solutions of this problem we use constraint method. Some graphical representations are given to illustrate the efficient values.

Muraru CarmenVioleta

"Vasile Alecsandri" University of Bacau, Romania 
Some approximation properties by a class of bivariate operators 
Starting with the well known Bernstein operators, in the present paper we give a new generalization
of the bivariate type. The approximation properties of this new class of bivariate operators are
studied. Also, the extension of the proposed operators, namely the Generalized Boolean Sum
(GBS) in the Bogel space of continuous functions is given. In order to underline the fact that in
this particular case GBS operator has better order of convergence than the original ones, some
numerical examples are provided with the aid of Maple soft. Also the error of approximation for
the modified Bernstein operators and its GBS type operator are compare.

Minculete Nicusor

Transilvania University of Brasov, Romania 
Inequalities in an 2  inner product space 
Starting with the well known Bernstein operators, in the present paper we give a new generalization
of the bivariate type. The approximation properties of this new class of bivariate operators are
studied. Also, the extension of the proposed operators, namely the Generalized Boolean Sum
(GBS) in the Bogel space of continuous functions is given. In order to underline the fact that in
this particular case GBS operator has better order of convergence than the original ones, some
numerical examples are provided with the aid of Maple soft. Also the error of approximation for
the modified Bernstein operators and its GBS type operator are compare.

Behname Razzaghmaneshi

Islamic Azad University,Talesh Branch,Talesh, Iran 
The Classification of Permutation Groups with Maximum Orbits 
Let G be a permutation group on a set O with no fixed points in O
and let m be a positive integer. If no element of G moves any subset
of O by more than m points (that is, if G
g \ G = m for every G ? O
and g ? G), and the lengths one of orbits is p, and the rest of orbits
have lengths equal to 3. Then the number t of Gorbits in O is at most
3
2
(m  1) + 1
p
. Moreover, we classifiy all groups for t =
3
2
(m  1) + 1
p
is hold.

