01.01.01 (Real analysis, complex analysis, and functional analysis)
E-mail:
Keywords:
Polynomial approximation, Approximation by positive linear operators, Function spaces
Subject:
Approximation Theory,
Fourier Analysis.
Main publications:
1- Arash Ghorbanalizadeh, Yoshihiro Sawano,
"Approximation in Banach space by linear positive operators" Positivity, Volume 18, Issue 3, (2014), pp 585-594.
2- A.M. Ghorbanalizadeh,
"On the order of weighted approximation of unbounded functions by some generalization of Gadjiev-Ibragimov operators", Journal of Applied Analysis 2014; 20 (1), pp.87–92.
3- A.D.Gadjiev, O.Duman and A.M. Ghorbanalizadeh,
"Ideal convergence of k-positive linear operators", Journal of Function Spaces and Applications. (2012), Article ID 178316, 12pp.
4- A.D.Gadjiev, A.M. Ghorbanalizadeh,
"Approximation of analytical functions by the sequences of k- positive linear operators", Journal of Approximation Theory 162 (2010), pp. 1245-1255. .
5- A.D.Gadjiev, A.M. Ghorbanalizadeh,
"Approximation properties of new type Bernstein–Stancu polynomials of one and two variables", Applied Mathematics and Computation 216 (2010) pp.890–901.
6- A.D.Gadjiev, A.M. Ghorbanalizadeh,
"On approximation processes in the space of analytical functions", Central European Journal of Mathematics, 8(2), 2010, pp.389-398.
V. I. Burenkov, A. Ghorbanalizadeh, Y. Sawano, “On the equivalence of the $K$-functional and the modulus of continuity on the Money spaces”, J. Approx. Theory, 248 (2019), 105295–19
