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20142021
most citedDirect and inverse approximation theorems of functions in the Orlicz type spaces S_M

14 citations

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collaborating institutions

6 papers

math.CA2021★ 4 cited

Direct and inverse approximation theorems in the Besicovitch-Museilak-Orlicz spaces of almost periodic functions

Stanislav Chaichenko, Andrii Shidlich, Tetiana Shulyk

In terms of the best approximations of functions and generalized moduli of smoothness, direct and inverse approximation theorems are proved for Besicovitch almost periodic function…

math.OC2020★ 2 cited

Stabilization of Crystallization Models Governed by Hyperbolic Systems

Alexander Zuyev, Peter Benner

This paper deals with mathematical models of continuous crystallization described by hyperbolic systems of partial differential equations coupled with ordinary and integro-differen…

math.OC2020★ 6 cited

On the Eigenvalue Distribution for a Beam with Attached Masses

Julia Kalosha, Alexander Zuyev, Peter Benner

We study a mathematical model of a hinged flexible beam with piezoelectric actuators and electromagnetic shaker in this paper. The shaker is modelled as a mass and spring system at…

math.CA2019★ 14 cited

Direct and inverse approximation theorems of functions in the Orlicz type spaces S_M

Stanislav Chaichenko, Andrii Shidlich, Fahreddin Abdullayev

In the Orlicz type spaces , we prove direct and inverse approximation theorems in terms of the best approximations of functions and moduli of smoothness of fracti…

math.CV2015

Convergence of Fourier series on the system of rational functions on the real axis

S. O. Chaichenko

We consider the systems of rational functions , defined by fixed set points , ${\bf b}:=\…

math.NA2014★ 5 cited

Approximative properties of diagonal operators in Orlicz spaces

Andriy L. Shidlich, Stanislav O. Chaichenko

We obtain the exact values of some important approximative quantities (such as, the best approximation, the basis width, Kolmogorov's width and the best -term approximation) of…