6 citations · 8 across the 8 of their papers we have counts for
8 papers
On approximations by trigonometric polynomials of classes of functions defined by moduli of smoothness
Nimete Sh. Berisha, Faton M. Berisha, Mikhail K. Potapov +1
In this paper, we give a characterization of Nikol'ski\uı-Besov type classes of functions, given by integral representations of moduli of smoothness, in terms of series over the mo…
Some reverse -type inequalities involving certain quasi monotone sequences
Mikhail K. Potapov, Faton M. Berisha, Nimete Sh. Berisha +1
In this paper, we give some -type inequalities about sequences satisfying certain quasi monotone type properties. As special cases, reverse -type inequalities for non-neg…
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…