Approximation of periodical function in the weighted Orlicz spaces
Journal Title: Дослідження в математиці і механіці - Year 2014, Vol 19, Issue 4
Abstract
We obtain some direct and inverse theorems of theory of approximation for 𝜓-differentiable functions in the metrics of weighted Orlicz spaces with weight functions, which belongs to the Muckenhoupt class.
Authors and Affiliations
S. O. Chaichenko
Keywords
Related Articles
- EP ID EP417141
- DOI -
- Views 82
- Downloads 0
THE CONTACT PROBLEM FOR AN ELASTIC SEMI-INFINITE LAYER
It is solved the contact problem on the action of a circular stamp with an extra-central power on the elastic semi-infinite layer. On the lateral and lower side of the layer the conditions of the smooth contact are given...
A Bernstein type inequality for fractional logarithmic derivatives of polynomials in 𝐿0
The study of integral equations with power-laws-logarithmically kernels, as well as problems related to the Fourier series of integrable functions led to fractional-logarithmic derivatives and integrals. In this paper fr...
Limiting equilibrium of plate with filled slit under tension and bending
The problem of tension and bending of an elastic plate weakened by narrow rectilinear slit filled with low-modulus material is considered within framework the classical two-dimensional plates theory. For the inclusion of...
Analogs of single parametric aggregationiterative method for equations with non constant sign operators
We establish sufficient conditions for the convergence of a class of one-parameter aggregation-iterative methods. Obtained results do not include conditions about positiveness of operators and aggregate functionals, and...
Influence of plastic zone near the tip of interfacial crack on the contact of its lips
We have developed a complex model of the prefracture zone near the tip of an interface crack that assumes the existence, in its vicinity, of a small-scale contact region of its faces interacting according to the law of d...