English

Approximation of some classes of set-valued periodic functions by generalized trigonometric polynomials

Functional Analysis 2015-04-29 v1

Abstract

Generalizations of some known results on the best, best linear and best one-sided approxima- tions by trigonometric polynomials of the classes of 2\pi - periodic functions presented in the form of convolutions to the case of set-valued functions are obtained

Keywords

Cite

@article{arxiv.1504.07307,
  title  = {Approximation of some classes of set-valued periodic functions by generalized trigonometric polynomials},
  author = {V. F. Babenko and V. V. Babenko and M. V. Polischuk},
  journal= {arXiv preprint arXiv:1504.07307},
  year   = {2015}
}