Name 
Institution 
Title 
Abstract 
Radulescu Ioana 
USAMV Bucuresti 
Chen invariants for Sasakian manifolds 
Chen introduced a series of Riemannian invariants on Kaehler manifolds proved invariants for Kaehler submanifolds in complex space forms. 
Simian Dana, Simian Corina 
University Lucian Blaga of Sibiu,
University of Chicago,
USA. 
Characterization of a flexible Cubic Bezier Interpolation Scheme 
The aim of the paper is to introduce a cubic interpolation scheme using B´ezier curves which shape is controlled using two parameters. We make a geometric characterization of the interpolation curves and compare the results with the geometric characterization made by Stone and DeRose. Computation and graphic representations are made using MATLAB 
Sprintu Iuliana 
Military Technical Academy 
New Mathematical Model for Composite thin Plates with Different Boundery Conditions 
In the context of composite materials technology increasingly present in the industry, this article covers a topic of great interest with theoretical and practical importance. Given the complex design of fiberreinforced materials and their heterogeneous nature, mathematical modeling of the mechanical response under different external stress is very difficult to address in the absence of simplifying assumptions. In most structural applications, composite structures can be idealized as beams, plates or shells. The analysis is reduced from threedimensional elasticity problem to a onedimensional, or twodimensional problem, based on certain simplifying assumptions that can be made because the structure is thin. This paper aims to validate a mathematical model illustrating how thin rectangular orthotropic plates respond to the actual load. Thus, from the theory of thin plates, new analytical solutions are proposed corresponding orthotropic rectangular plates having different boundary conditions. Proposed analytical solutions are considered both for solving equation orthotropic rectangular plates and for modal analysis. 
Mishra Vishnu Narayan 
Sardar Vallabhbhai National Institute of Technology, Surat  (Gujarat), India 
Some approximation properties of BaskakovSzaszStancu operators 
In this present paper, we estimate moments for these operators and obtain the recurrence relation for moments. Also, we study direct theorem, Voronovskaja type asymptotic formula for these operators and weighted approximation properties for these operators. 
Cristea Valentin Gabriel 
Polytechnica University of Bucharest 
The volume of the unit ndimensional ball. A review. 
The aim of this survey is to present recent research on the problem of estimating the volume of the unit ndimensional ball. Some results from the theory of approximating the gamma function are used. Finally, some inequalities on the area of the unit ndimensional ball are given. 
Dumitrescu Sorinel 
Polytechnica University of Bucharest 
Ramanujan type formulas for approximating the gamma function. A survey. 
In this survey we discuss Ramanujan formula and related formulas for approximating the gamma function as many improvemements were presented in the recent past. In the final part some new inequalities are presented. 
Baboş Alina 
Land Forces Academy "Nicolae Bălcescu" Sibiu 
Interpolation operators on a triangle with one curved side 
We construct Hermite and Birkhofftype operators, which interpolate a given function and some of its derivatives on some interior lines of a triangle with one curved side. We consider the case when the interior line is a median. We also consider some of their product and Boolean sum operators. We study the interpolation properties and the degree of exactness of the constructed operators. 
Mortici Cristinel 
Valahia University of Targoviste 
The HyersUlam stability of a functional equation with bounded solutions 
It is the scope of this work to prove that some functional equation is HyersUlam stable. Our results incorporate as a particular case a recent result of S.M. Jung stated in [Functional equation f(x)=pf(x1)qf(x2) and its HyersUlam stability, J. Inequal. Appl., Volume 2009, Article ID 181678, 10 pages]. 
Dadarlat Marius 
Purdue University, West Lafayette, IN, USA 
Finite dimensional approximations of linear operators 
Quasidiagonality is an important finite dimensional approximation property of linear operators and operator algebras. Voiculescu has discovered that quasidiagonality of operator algebras is a homotopy invariant. We plan to give a quick introduction to the subject and discuss a number of basic results and open problems. If time allows, we will outline some fascinating connections with algebraic topology and noncommutative geometry. 
Muraru Carmen Violeta,
Acu Ana Maria 
"Vasile Alecsandri" University of Bacau, "Lucian Blaga" University of Sibiu 
Approximation properties of bivariate extension of qSchurerKantorovich operator 
In this paper, we introduce a bivariate generalization of the Schurer –Kantorovich operators based on q−integers and get a BohmannKorovkin type approximation theorem of these operators. We also estimate the rate of convergence of the proposed operators, in the terms of first modulus of smoothness. 
Rafiq Arif,
Ana Maria Acu,
Daniel Florin Sofonea 
Lahore Leads University, Lahore, Pakistan, "Lucian Blaga" University of Sibiu 
Error bounds for a class of quadrature formulas 
A class of optimal quadrature formulas in sense of minimal error bounds are obtained. The estimations of remainder term will be given in terms of variety of norms, from an inequality point of view. Some improvements and generalizations of some results from literature will be considered. 
Gavrea Bogdan 
Technical University of ClujNapoca 
A NewtonMonte Carlo method for solving scalar equation 
We present a simple modification of the NewthonRaphson method for solving nonlinear scalar equations. The method can be used in a MonteCarlo type setting which results in convergence for cases where the "standard" Newton method does not converge. 
Nicusor Minculete,
Petrica Dicu,
Augusta Ratiu 
University Transilvania from Brasov,
Lucian Blaga University of Sibiu,
BabesBolyai University, ClujNapoca, 
Two reverse inequalities of Bullen's inequality and several applications 
In this article we present two reverse inequalities of Bullen's inequality and several applications about the arithmetic mean and the logarithmic mean. 
Aral Ali,
Rașa Ioan,
AcarTuncer 
Kirikkale University Turkey, Technical University of ClujNapoca, Kirikkale University Turkey, 
On The Generalized BernsteinDurrmeyer Operators 
In the present paper we introduce new BernsteinDurrmeyer type operators based on a function τ which has derivatives of all orders on [0,1], such that τ(0)=0, τ(1)=1 and τ'(x)>0 for x in [0,1]. Depending on the selection of τ, the rate of convergence of the new operators can be better than that of the classical BernsteinDurrmeyer operators. We present an asymptotic formula and quantitative results concerning the convergence. Later we give comparisons with classical BernsteinDurrmeyer operators. We obtain some direct results for the new operators in terms of the DitzianTotik modulus of smoothness. Finally a graphical example is presented. 
BascanbazTunca Gulen 
Ankara University, Turkey 
A generalization of PostWidder operators based on qIntegers 
In this talk, a qgeneralization of the classical PostWidder operators is introduced. The Voronovskajatype approximation result and rate of the convergence is obtained. Approximation property of the qPostWidder operators in a weighted space is given and the rate of convergence is measured by means of the weighted modulus of continuity. 
Pop Emilia Loredana 
Liceul Teologic Adventist "Maranatha" ClujNapoca 
Connections between vector optimization problems, their solutions and saddle points 
Considering a vector optimization problem, we attach to it the first order approximated vector optimization problem. We study the connections between the efficient solutions and saddle points of these two problems. 
Acar Ozlem,
Altun Ishak 
Kirikkale University, Kirikkale University 
Fixed Point Theorems for Weak Contractions 
In this talk, we present some fixed point results in partial metric space by new concepts which are the notion of (δ, L) weak contraction and (ϕ, L) weak contraction in the sense of Berinde. 
Gavrea Ioan,
Ivan Mircea 
Technical University of ClujNapoca 
Some inequalities on Legendre Polynomials 
We obtain some inequalities involving Legendre polynomials in connection with the sum of the squared Bernstein basis polynomials. 
Aurelia Florea 
Universitatea din Craiova 
Some extensions of Fink’s inequality 
We establish some new inequalities of Fink type, in terms of the SteffensenPopoviciu measure. We refer to a special class of convexconcave symmetric functions. By using the convexity on the coordinates, we extend our results from the onedimensional case to the multidimensional case. 
Tuncer Acar,
Ali Aral 
Kirikkale University Turkey,
Kirikkale University Turkey, 
A New Type BernsteinDurrmeyer Operators 
The present paper deals with a new type of BernsteinDurrmeyer operators on mobile interval. First, we represent the operators in terms of hypergeometric series. We also establish local and global approximation results for these operators in terms of modulus of continuity. We obtain an asymptotic formula for these operators and in the last section we present better error estimation for the operators using King type approach. 
AntonioJesus LopezMoreno and JoseManuel LatorrePalacios 
University of Jaen, Spain. 
Asymptotic properties of multivariate Durrmeyer type operators 
We present some extensions of preceding results of the authors that can be used to study the asymptotic behavior and localization properties for several Durrmeyer type operators in both the univariate and the multivariate case. 
Paltanea Radu 
Transilvania University of Brasov 
Approximation of fractional derivatives 
We study the approximation of fractional derivatives, in diverse senses by means of positive linear operators. Quantitative aspects are also considered. 
Marius Birou 
Tehnical University ClujNapoca, Romania 
About a linear positive operator which preserves test functions $e_0$ and $e_2$ 
In this paper we present an operator which preserves the test functions $e_0$ and $e^2$. We compare this operator with the classical Durrmeyer operator. 
Adrian Girjoaba 
Lucian Blaga University of Sibiu, Romania 
Bernstein's theorem on minimal surfaces, a computer aided proof. 
The Bernstein's famous theorem on minimal surfaces is "proved" using MAPLE. Besides the interesting, in themselves", facts revealed by this soft, there is, again, opened the challenging debate about what is to be accepted or not, and how much, from the aide that computers are (more and more) able to give us in our study of abstract, fundamental, (not only) mathematical, phenomena. 
Agratini Octavian 
Babes  Bolyai University, Cluj  Napoca 
Linear approximation processes of integral type 
We present classes of linear positive operators of integral type. Approximation properties are explored such as the rate of convergence, uniform approximation over unbounded intervals, convergence in some weighted spaces, statistical convergence. Special cases are highlighted. 
Heiner Gonska 
University of DuisburgEssen 
GrüssVoronovskaya Estimates for Bernsteintype Operators 
We will present a combination of Voronovskaya and Grüsstype results for certain Bernsteintype operators. These will be inequalities which cover all the operators on the "Păltănea scale" between the genuine BernsteinDurrmeyer and the classical Bernstein operators. We will also briefly discuss the complex case. The talk is based on joint work with Sorin Gal. 
Daniela Inoan,
Ioan Rasa 
Technical University of ClujNapoca 
A de Casteljau type algorithm in matrix form 
We describe a de Casteljau type algorithm in matrix form for some linear operators that appear in Approximation Theory. Some monotonicity preserving properties of the operators are proved by using this algorithm. 
Stan Gabriel 
Transilvania University, Brasov 
A Voronovskayatype Result for a Generalized Baskakov Durmeyer Operator 
In this article we give a generalization of the Baskakov Durmeyer operator using Kantorovich method and we prove convergence properties and a Voronovskaj type theorem for these new operators. 
Margareta Heilmann 
University of Wuppertal, Germany 
kth order Kantorovich type modification of the operators Un 
We study the kth order Kantorovich type modication of the operators Un introduced and investigated by H. Gonska and R. Paltanea. The op erators constitute a link between the classical Bernstein operators and the genuine BernsteinDurrmeyer operators. We will present explicit formulas and recurrence relations for the images of monomials and for moments of arbritary order. The talk is based on joint work with Ioan Rasa. 
Ioan Tincu 
Lucian Blaga University of Sibiu, Romania 
Characterization theorems of Jacobi and Laguerre polynomials 
In this paper we prove a property of the Jacobi polynomials and the Laguerre polynomials. 
Emil C Popa 
Lucian Blaga University of Sibiu, Romania 
Some inequalities for the Landau constants 
Starting with some inequalities for the Wallis ratio and the Ramanujan type formulas for the Landau constants, we obtain new estimates for this constants. 
Maria Daniela Rusu
Elena DORINA Stanila 
University of DuisburgEssen 
ChebyshevGrüssType Inequalities for the BernsteinEulerJacobi Operators 
The classical form of Grüss’ 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]. The aim of this talk is to present some ChebyshevGrüsstype inequalities and apply them to the BernsteinEulerJacobi (BEJ) operators of first and second kind. The first and second moments of the operators will be of great interest. 
Eugen Constantinescu, Adrian Branga 
Lucian Blaga University of Sibiu, Romania 
Remarks on a class of quadrature formulas 
In this paper we propose to find a class of quadrature formulas with higher degree of exactness and moreover possess a Peano kernel that does not change the sign. We present a new method that allows us to study the remainder operator based on the properties of a set of linear and positive functionals. 




Heiner Gonska 
University of DuisburgEssen 
Academician Prof. Dr. D.D. Stancu (1927  2014): His Influence on my Mathematical Work 
An (incomplete) survey will be given on how Prof. Stancu's publications influenced the speaker's work. Some keywords: approximation by pseudopolynomials, HermiteFejér interpolation, simultaneous approximation, Schoenberg splines, algorithms of de Casteljautype. 
Voichita Adriana Radu 
BabesBolyai University, Cluj Napoca 
Academician Professor D.D. Stancu : a life time dedicated to the numerical analysis and theory of approximation 
This spring, on April 17, the mathematical community suffered a big loss: the decease of Academician Professor D.D. Stancu, a Romanian distinguish mathematician. He was an Emeritus member of American Mathematical Society and an Honorary member of the Romanian Academy. He was also a member of the German society “Gesellschaft fur Angewandte Mathematik und Mechanik”. His publication list about 160 items (papers and books) and more than 60 papers containing his name in their titles. The main contributions of research work of Professor D.D. Stancu fall into the following list of topics: Approximation of functions by means of linear and positive operators, Representation of remainders in linear approximation procedures, Probabilistic methods for construction and investigation of linear positive operators, Interpolation theory, Spline approximation, Numerical differentiation, Orthogonal polynomials, Numerical quadratures and cubatures, Taylortype expansions, use of Interpolation and Calculus of finite differences in Probability theory and Mathematical statistics. 
Andrei Vernescu 
Valahia University of Targoviste 
Acad. Prof. D. D. Stancu, a respectful remember and a deep homage 
The presentation consists in a remembering of the life and of the work of our beloved master Acad. Prof. D.D. Stancu. 
