6 citations · 13 across the 13 of their papers we have counts for
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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…
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…
On monotone Fourier coefficients of a function belonging to Nikol'ski\uı--Besov classes
Muharrem Q. Berisha, Faton M. Berisha
In this paper, necessary and sufficient conditions on terms of monotone Fourier coefficients for a function to belong to a Nikol'ski\uı--Besov type class are given.
On some transforms of trigonometric series
Faton M. Berisha, Milan H. Filipović
We give a transform of convergent trigonometric series into equivalent convergent series and sufficient conditions for the transformed series to converge faster than the original o…