Volume 56, Number 2, June 2011
UNIVERSITATIS
BABEŞ-BOLYAI
MATHEMATICA
NUMBER 2A
Preface . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . 197
Ulrich Abel, Asymptotic
expansions for Favard operators and their left quasi-interpolants . . . . .
. . . . .. .199
Flavian Abramovici, Applying
the Backus-Gilbert theory to function approximation . . . .. . . . . . . .
. . . . .207
Francesco Altomare, Mirella
Cappelletti Montano and Vita Leonessa, Iterates of
multidimensional
Kantorovich-type operators and their associated positive C0-semigroups . . . . . . . . . . . . . . . . . . . . . . . .219
Marius Birou, Blending
surfaces on ellipse generated using the Bernstein operators .. . . . . . .
. . . . . . . . 237
Adriana Brandas, Approximation
of fuzzy numbers by trapezoidal fuzzy numbers preserving
the core and the expected value . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .247
Michele Campiti, Giusy Mazzone and Cristian
Tacelli, Approximation of cosine functions
and Rogosinski type operators . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 261
Carsten Carstensen and Christian Merdon, Remarks on the state of the art of a posteriori
error control
of elliptic PDEs in energy norms in practise . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .273
George Chelidze and Nicholas Vakhania, On a quaternion valued Gaussian random variables . . . . . . . . 295
Ioana Chiorean, Liana Lupsa and Luciana Neamtiu, SLAD method for cancer registration . . .. . . .
. . . . 299
Cristina S. Cismasiu, On
the Szasz-Inverse Beta operators . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . .305
Lucian Coroianu and Sorin G. Gal, Approximation by max-product Lagrange
interpolation operators . . . 315
Ana Danelia and Ekaterine Kapanadze, Almost greedy uniformly bounded orthonormal bases
in rearrangement invariant Banach function spaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 327
Zoltan Finta, Remark on
Voronovskaja theorem for q-Bernstein operators . . . . . . . . . . . . . .
. . . . . . . . .335
Sorin G. Gal, Approximation
by max-product type nonlinear operators . . . . . . . . . . . . . . . . . .
. . . . . . . .341
Bogdan Gavrea, Rigid
body time-stepping schemes in a quasi-static setting . . . . . . . . . . . . . . . . . . . . . 353
Ioan Gavrea, On some
quadrature formulas on the real line with the higher degree of accuracy
and its applications . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .359
Wilfried Grecksch and Christian Roth, A Q-fractional version of Ito,s
formula . . . . . . . . . . . . . .
. . . . . 369
Wilfried Grecksch and Hannelore Lisei, Stochastic Schrodinger equation driven
by cylindrical Wiener process and fractional Brownian
motion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .381
Flavius Guias, Stochastic
simulation of the gradient process in semi-discrete approximations
of
diffusion problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . 393
NUMBER 2B
Adrian Holhos, Uniform
approximation in weighted spaces using some positive linear operators . . ..
. . . . 413
Harun Karsli, Recent
results on Chlodovsky operators . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . 423
Diana Keller, Multifractional
Brownian motion in vehicle crash tests . . . . . . . . . . . . . . . . . .
. . . . . . . . . 437
Gradimir V. Milovanovic, Numerical quadratures and orthogonal polynomials
. . . . . . . . . . . . . . . . . . . .
449
Alexandru I. Mitrea, On
the pointwise convergence of the Chebyshev best approximation
on
Jacobi nodes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 465
Antje Mugler and Hans-Jorg Starkloff, On elliptic partial differential equations with random
coefficients. .473
Carmen-Violeta Muraru, Note
on q-Bernstein-Schurer operators . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . 489
Radu Paltanea, Estimates
for general positive linear operators on non-compact interval
using
weighted moduli of continuity . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . .497
Flavius Patrulescu, Steffensen
type methods for approximating
solutions of differential equations . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 505
Daniel N. Pop and Radu T. Trımbitas, Approximation methods for second order
nonlinear polylocal problems . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . .515
Cristina Radu, Saddika Tarabie and Andreea Veteleanu,
On the rate of convergence of
a
new q-Szasz-Mirakjan operator . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . .527
Ioan Rasa, Discrete
operators associated with certain integral operators . . . . . . . . . . .
. . . . . . . . . . . . .537
Daniela Rosca, Area
preserving maps from rectangles to elliptic domains . . . . . . . . . . . .
. . . . . . . . . . .545
Maria-Daniela Rusu, On Gruss-type
inequalities for positive linear operators . . . . . . . . . . .. . . . . .
. . . . 551
Paul Sablonniere, Bernstein
quasi-interpolants on triangles . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . .567
Anna Soos, Approximation
of the solution of stochastic differential equations driven
by
multifractional Brownian motion . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . 587
Maria Talpau Dimitriu, Estimates
with optimal constants using Peetre,s K-functionals of order 2 . . . . . .599
Andrei Vernescu, On
the approximation of the constant of Napier . . . . . . . . . . . . . . . .
. . . . . . . . . . . .609