Anul LI 2006

S T U D I A

UNIVERSITATIS BABEŞ-BOLYAI

MATHEMATICA

4

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

SUMAR – CONTENTS – SOMMAIRE

Octavian Agratini and Petru Blaga, Professor Gheorghe Coman at

his 70^th Anniversary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .3

Octavian Agratini, On a Class of Linear Positive Bivariate Operators of

King Type . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . .13

Dorin Andrica and Daniel Văcăreţu, Representation Theorems and Almost

Unimodal Sequences . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . 23

Petru P. Blaga, Some Inferences and Experiments on Free Knots Spline Regression . .35

Teodora Cătinaş, A Combined Method for Interpolation of Scattered Data Based

on Triangulation and Lagrange Interpolation . . . . . . . . . . . . . .. . . . . . . . . .. . . . . . . . . 55

Ioana Chiorean, A Cyclic Odd-Even Reduction Technique Applied to a Parallel

Evaluation of an Explicite Scheme in Mathematical Finance . . . . . . . . . . . . . . . . . . . .65

S. Cobzaş, Compact Operators on Spaces with Asymmetric Norm . . . . . . . . . . . . . . .. .69

A.E. Curteanu, L. Elliott, D.B. Ingham and D. Lesnic, Laplacian Decomposition

Method for Inverse Stokes Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 89

H. Gonska, D. Kacso, O. Nemitz and P. Piţul, Piecewise Linear Interpolation

Revisited: Blac-Wavelets . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 105

T. Groşan, T. Mahmood and I. Pop, Thermal Radiation Effect on Fully Developed

Free Convection in a Vertical Rectangular Duct . . . . . . . . . . . . . . . . . . . . . . . . . . . . 117

J. Kolumban and A. Soos, Homogenization with Multiple Scale Expansion on

Selfsimilar Structures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 129

Sanda Micula, On Superconvergent Spline Collocation Methods for the Radiosity

Equation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . .145

G.V. Milovanovic, A.S. Cvetkovic and M.M. Matejic, On Positive Definiteness of

some Linear Functionals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 157

Diana Otrocol Numerical Solutions of Lotka-Volterra System with Delay by Spline

Functions of Even Degree . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 167

Adrian Petruşel and Gabriela Petruşel, A Note on Multivalued Meir-Keeler Type

Operators . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 181

Ioan A. Rus, Fixed Point Structures with the Common Fixed Point Property:

Multivalued Operators . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . .189

Ildiko Somogyi and Radu Trîımbiţaş, The Study of an Adaptive Algorithm for

some Cubature Formulas on Triangle . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 195