English

Direct and inverse theorems of approximation theory for a generalised modulus of smoothness

Functional Analysis 2012-09-03 v1

Abstract

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 theorems of approximation theory for it.

Keywords

Cite

@article{arxiv.1208.6328,
  title  = {Direct and inverse theorems of approximation theory for a generalised modulus of smoothness},
  author = {Mikhail K. Potapov and Faton M. Berisha},
  journal= {arXiv preprint arXiv:1208.6328},
  year   = {2012}
}

Comments

14 pages