Name 
Institution 
Title 
Abstract 
Dan Miclaus 
North University of Baia Mare  Romanian 
On the monotonicity property for the sequence of Stancu type polynomials 
This note presents the proof of the monotonicity property for the sequence of Stancu type polynomials, involving divided differences and convex functions. As an application we get the form of remainder term associated to the Stancu type operators applying the Popoviciu's Theorem. 
Margareta Heilmann 
University of Wuppertal  Germany 
Some Results for Genuine SzaszMirakjanDurrmeyer Operators 
We present commutativity properties of the operators as well as the commutativity with an appropriate differential operator and a strong converse result of type A in terms of a Kfunctional with an explicit constant. Together with a direct theorem this leads to an equivalence result for the error of approximation and the Kfunctional 
Gancho Tachev 
University of Architecture  Bulgary 
On linear combinations of the Phillips operator 
We establish a Voronovskaja's type estimate for the linear combinations of the Phillips operator. This improves the previous results on this topic of C.May, R.Agrawal, V.Gupta etc. This is a joint work with M.Heilmann from the University of Wuppertal, Germany. 
Emil C. Popa 
"L. Blaga"University of Sibiu 
On a mean value theorem of T.M. Flett 

Liana Cioban 
Babes Bolyai University, Cluj Napoca 
Sequential Optimality Conditions for Variational Inequalities 
In the characterizations of the solutions of the variational inequalities (via gap functions or by means of the subdifferential), the
fulfillment of a regularity condition was of great importance. We show in this presentation that even in the absence of a regularity condition, we can still characterize these solutions. We use as tool
the sequential optimality conditions given by Bot, Csetnek and Wanka. Several examples are illustrating the theoretical aspects. This is a joint work with Ernö Robert Csetnek from Technical University,
Chemnitz, Germany. 
HoratiuVasile Boncea 
Babes Bolyai University, Cluj Napoca 
Characterizations for epsilonduality gap statements for constrained convex optimization problems 
In this material we present different regularity conditions that equivalently characterize various epsilonduality gap statements for constrained convex optimization
problems and their Lagrange and FenchelLagrange duals in separated locally convex spaces. These regularity conditions are formulated by using epigraphs and epsilonsubdifferentials. This material is a work
joint with dr. SorinMihai Grad, from Technical University, Chemnitz, Germany. 
EmiliaLoredana Pop 
BabesBolyai University, Cluj Napoca 
New Wolfe and MondWeir type vector duality 
We introduce new vector duals attached to a general vector optimization problem and we formulate duality results. These vector duals were obtained
by exploiting an idea due to W. Breckner and I. Kolumbian and with the help of Wolfe and MondWeir scalar duals for general optimization problems proposed by R.I. Bot and S.M. Grad.
Acknowledgement. UBB, Research supported by project POSDRU88/1.5/S/60185. This is a joint work with Dr. SorinMihai Grad from Technical University, Chemnitz, Germany. 
Heiner Gonska 
University of DuisburgEssen 
On infinite products of positive linear operators 
Infinite products of positive linear operators reproducing linear functions are considered from a quantitative point of view. Refining and
generalizing convergence theorems of GwozdzLukawska, Jachymski, Gavrea, Ivan and the present authors, it is shown that infinite products of certain positive linear operators, all taken from a finite
set of mappings reproducing linear functions, weakly converge to the first Bernstein operator. A discussion of products of MeyerKonig and Zeller operators is included.
The talk is based upon joint work with Ioan Rasa (UT Cluj). 
Radu Paltanea 
Transilvania University of Brasov 
Approximation properties of some bidimensional BernsteinDurrmeyer operators 
We consider a class of sequences of positive linear operators on a symplex of Durrmeyer type, depending on a general weight. These operators
have good properties of approximation 
Teodora Zapryanova 
Economic University of Varna 
Generalized Characterization Theorem for the Kfunctional Associated with the Algebraic Version of Trigonometric Jackson Integrals 
The purpose of this paper is to present a characterization of a certain Peetre Kfunctional in Lp[1,1] norm by means of a modulus of smoothness.
We generalize the earlier chracterization of Ivanov and extend the result to a more general setting. 
Augusta Ratiu 
BabesBolyai University, ClujNapoca 
First order approximated semiinfinite optimization problems 
In this paper, we consider the semiinfinite optimization problem which I attach the first order approximate problem. Relationships are
established between the feasible sets of the two issues and then between their optimal solutions. 
Bogdan Gavrea 
Technical University of ClujNapoca 
Differential complementarity problems and collision free trajectories 
We present how differential complementarity problems(DCPs) can be used in generating collision free trajectories. We address issues related
to robust and optimal control. The applications are in the area of autonomous navigation. 
Mircea Ivan 
Technical University of ClujNapoca 
Some remarks on the generalized Euler sequence 
We provide a highly convergent version of the generalized Euler sequence and find the element with the optimal rate of
convergence in several classes of sequences with imposed form. 
Ioan Gavrea 
Technical University of ClujNapoca 
Some remarks on the generalized Euler sequence 
We provide a highly convergent version of the generalized Euler sequence and find the element with the optimal rate of
convergence in several classes of sequences with imposed form 
ElenaDorina Stanila 
University of DuisburgEssen 
Remarks on BernsteinEulerJacobi type operators 
We introduce and study a class of positive linear operators defined as a composition (two Bernstein and a EulerJacobi Beta operator in
the middle) that reduces in special cases to many known operators. Using the method presented by Z. Finta we prove direct and converse inequalities of type A in terms of a Kfunctional. This is done for
two special cases, that is, for the composition of two different Bernstein operators and for a particular case of the general composition that reproduces linear functions. 
Maria Daniela Rusu 
University of DuisburgEssen 
Gruesstype inequalities for the BLaC operator 
The classical form of Gruess' inequality gives an estimate of the difference between the integral of the product and the product of the integrals
of two functions in C[a,b]. On the other hand, BLaCwavelets ("Blending of Linear and Constant wavelets") were introduced by G.P. Bonneau, S. Hahmann and G. Nielson in 1996 and describe a compromise between
the sharpness of the Haar wavelets and the smoothness of the linear ones.
The aim of this presentation is to discuss Gruesstype inequalities for the BLaC operator. Using a result of Gonska et al., a quantitative ChebyshevGruesstype inequality is obtained in terms of the least
concave majorant of the classical modulus of continuity. Interesting is how the blending parameter influences our results. 
Oana Bode 
Babes Bolyai University, Cluj Napoca 
A method for solving a kind of bilevel discrete programming problem 
In the present paper a numerical method for solving a particular type of bilevel discrete programming problem is given. This particular kind of
problem is get as a result of mathematical modeling of an budget allocation problem corresponding to professional training of the unemployed persons. This paper is a joint work with Luciana Neamtiu from
Oncology Institute Prof. Dr. I. Chiricuta (Cluj Napoca) 
Carmen Violeta Muraru
Ana Maria Acu 
University "Vasile Alecsandri" din Bacau
"Lucian Blaga" University of Sibiu 
Some approximations properties of a SchurerBernstein operators based on q integers 
We consider the class of generalized Schurer Berntstein operators in q calculus for which some properties of monotonicity and convexity are studied.
The paper contain also numerical representation of these operators, based on Matlab algorithms and iterative relations of basic functions. 
Cristina Cismasiu 
Transilvania University of Brasov 
A note on discrete operators and their associated integral operators 
We provide an estimation of the difference between discrete operators and their associated integral operators. A lot of examples are given 
MartinAlexandru BunescuSpielhaupter 
Colegiul National "Samuel von Brukenthal", Sibiu 
On the Approximation of Analytic Functions by Complex BernsteinType Operators in Compact Discs 
We aim to prove a general result related to the uniform convergence of certain Bernsteintype operators attached to an analytic function in a
compact disc 
Alina Babos, Ana Maria Acu 
"Nicolae Balcescu" Land Forces Academy, "Lucian Blaga" University of Sibiu 
Some corrected optimal quadrature formulas in sense Nikolski and error bounds 
In recent years some authors have considered so called perturbed (corrected) quadrature rules. By corrected quadrature rule we mean the
formula which involves the values of the first derivative in end points of the interval not only the values of the function in certain points. We consider the corrected quadrature rules of some optimal
quadrature formulas in sense Nikolski and the estimations of error involving the second derivative are given. The numerical examples which provides that the approximation in corrected rule of a optimal
quadrature formula in sense Nikolski is better than in the original rule are considered. 
Ioan Tincu 
"Lucian Blaga" University of Sibiu 
Characterization theorems of Jacobi polynomials 
The aim of this paper is to prove Turans inequality and equality concerning the roots of the Jacobi polynomial. 
CalinIoan Gheorghiu 
"T. Popoviciu" Institute of Numerical Analysis, ClujNapoca 
An extension of the RiemannLebesgue Lemma for Chebyshev polynomials 
The classical RiemannLebesgue Lemma corresponding to Fourier basis is extended to Chebyshev polynomials of the first kind. 
Andrei Vernescu 
Valahia University of Targoviste (Romania) 
About Four Convergences to e and 1/e 
We give the shortest proof of the classical two sided estimation of the standard convergence to e.We also give the similar results for three
other convergences, we show the equivalence of all these and we give a mnemonic rule. 
Antonio Jesus Lopez Moreno 
Universidad de Jaen 
Localization properties of some composite multivariate operators 
We study the localization properties of several sequences of multivariate linear positive operators. In particular we analyze the case of
operators obtained by composition which present special localization behavior 
Eugen Constantinescu, Adrian Branga 
Lucian Blaga" University of Sibiu 
Applications of the impruved Fejer’s sum 
In this paper, using the quadrature formulas of Bouzitat type, we present an improvement of Fejer's inequality and also some applications 
Nicusor Minculete, Petrica Dicu 
Lucian Blaga" University of Sibiu 
Bounds to a sequence which use Euler's constant 
The aim of this paper is to improve an inequality which characterizes the order of convergence of the sequence En = 1 + 1/1! + 1/2! + ... + 1/n! to the limit e. 
Daniel Florin Sofonea 
Lucian Blaga" University of Sibiu 
Evaluations of the remainder using devided differences 
Our aim is to find evaluation of the remainder using devided differences, starting point of research given below it
the result of O. Arama. 
Cristinel Mortici 
Valahia University of Targoviste 
Complete monotonicity and estimates for gamma function 
The aim of this work is to show how the theory of completely monotonic functions can be used to establish estimates for gamma and related functions 
