6 citations · 6 across the 6 of their papers we have counts for
6 papers
Mixed Moduli of Smoothness in ,
M. K. Potapov, B. V. Simonov, S. Yu. Tikhonov
In this paper we survey recent developments over the last 25 years on the mixed fractional moduli of smoothness of periodic functions from , . In particular, the p…
On Jackson's theorem for the modulus of smoothness determined by a nonsymmetric generalised shift operator
Mikhail K. Potapov, Faton M. Berisha
In this paper a class of asymmetrical operators of generalised translation is introduced, for each of them generalised moduli of smoothness are introduced, and Jackson's and its co…
On a connection between a generalised modulus of smoothness of order~ and the best approximation by algebraic polynomials
Mikhail K. Potapov, Faton M. Berisha
In this paper an asymmetrical operator of generalised translation is introduced, the generalised modulus of smoothness is defined by its means and the direct and inverse theorems i…
Direct and inverse theorems of approximation theory for a generalised modulus of smoothness
Mikhail K. Potapov, Faton M. Berisha
An asymmetric operator of generalised translation is introduced in this paper. Using this operator, we define a generalised modulus of smoothness and prove direct and inverse theor…
A theorem on approximation by algebraic polynomials of functions with given generalised modulus of smoothness
Mikhail K. Potapov, Faton M. Berisha
We introduce an asymmetric operator of generalised translation, define the generalised modulus of smoothness by its means, and obtain the direct and inverse theorems in approximati…
Approximation of classes of functions defined by a generalized -th modulus of smoothness
Mikhail K. Potapov, Faton M. Berisha
In this paper, a -th generalized modulus of smoothness is defined based on an asymmetric operator of generalized translation and a theorem is proved about the coincidence of cla…