Anul LII                                                                                                                                                                                                                                                                   2007

 

S T U D I A

UNIVERSITATIS BABEŞ-BOLYAI

 

 

MATHEMATICA

3

 

 

 

                                                                         Redacţia: 400084 Cluj-Napoca, Str. M. Kogălniceanu nr. 1 Tel: 405300

 

 

 

SUMAR – CONTENTS – SOMMAIRE

 

Octavian Agratini and Gheorghe Coman, Professor Petru Blaga

at his 60th Anniversary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .   3

 

Marius M. Birou, Some Cubatures with Chebyshev Nodes . . . . . . . . . . . . . . . . . . . .                                13

 

Teodora C˘atinas and Gheorghe Coman, Some Interpolation Operators

on a Simplex Domain . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .   25

 

Ioana Chiorean, On some Implicite Scheme in Mathematical Finance . . . . . . . . .                 35

 

Stefan Cobzas, Completeness with Respect to the Probabilistic

Pompeiu-Hausdor_ Metric . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .                    43

 

Mona Cristescu and Adrian Petrescu, Homotopic Embeddings

in n-Groups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .     67

 

M. Dobrit¸oiu, I.A. Rus and M.A. S¸erban, An Integral Equation

Arising from Infectious Diseases, via Picard Operator . . . . . . . . . . . . . . . . . . .                                           81

 

Gavrea, On a Class of Orthogonal Polynomials . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .                                95

 

Heiner Gonska, On the Degree of Approximation in Voronovskajas

Theorem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .    103

 

Iuliana Marchis¸, On Graph-Invariant Measures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .              117

 

Sanda Micula, On some Geometric Properties of the Radiosity Equation . . . . .                     129

 

Gradimir V. Milovanovi´c and Aleksandar S. Cvetkovi´c, A Note

on Three-Step Iterative Methods for Nonlinear Equations . . . . . . . . . . . . . .                                             137

 

Ioan A. Rus, Picard Operators and Well-Posedness of Fixed Point Problems . .                                      147

 

Rodica Sobolu, Statistical Approximation by an Integral Type of Positive

Linear Operators . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .      157

 

R´obert Sz´asz, A Counter-Example Concerning Starlike Functions . . . . . . . . . . . .                                167

 

Book Reviews . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .171