6 citations · 13 across the 13 of their papers we have counts for
13 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…
Approximating classes of functions defined by a generalised modulus of smoothness
Faton M. Berisha, Nimete Sh. Berisha
In the present paper, we use a generalised shift operator in order to define a generalised modulus of smoothness. By its means, we define generalised Lipschitz classes of functions…
A note on an inverse theorem for a generalised modulus of smoothness
Muharrem Q. Berisha, Faton M. Berisha
We prove the theorem converse to Jackson's theorem for a modulus of smoothness of the first order generalised by means of an asymmetric operator of generalised translation.
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…