Corpus ID: 119134554

Approximating classes of functions defined by a generalised modulus of smoothness

@article{Berisha2013ApproximatingCO,
  title={Approximating classes of functions defined by a generalised modulus of smoothness},
  author={Faton M. Berisha and Nimete Sh. Berisha},
  journal={arXiv: Functional Analysis},
  year={2013}
}
  • Faton M. Berisha, Nimete Sh. Berisha
  • Published 2013
  • Mathematics
  • arXiv: Functional Analysis
  • In the present paper, we use a generalised shift operator in order to define a generalised modulus of smoothness. By its means, we define generalised Lipschitz classes of functions, and we give their constructive characteristics. Specifically, we prove certain direct and inverse types theorems in approximation theory for best approximation by algebraic polynomials. 

    References

    Publications referenced by this paper.
    SHOWING 1-7 OF 7 REFERENCES

    MR 1717821 (2000h:41009) 5. , O svyazi mezhdu r-im obobshchennym medulem gladkosti i nailuchshimi priblizheniyami algebraicheskimi mnogochlenami

    • M K Potapov, F M Berisha
    • MR 1638345 (99g:41007) 4
    • 1998

    O svyazi mezhdu r-im obobshchennym medulem gladkosti i nailuchshimi priblizheniyami algebraicheskimi mnogochlenami

    • M. K. Potapov, F. M. Berisha
    • Fundam. Prikl. Mat.,
    • 1999
    VIEW 1 EXCERPT

    Prishtinë, Kosovo E-mail address: faton.berisha@uni-pr.edu N

    • Fundam. Prikl. Mat
    • FATON M. BERISHA AND NIMETE SH
    • 1999