In: Mathematica Slovaca, vol. 69, no. 6
Stanislav Chaichenko - Andrii Shidlich - Fahreddin Abdullayev
Detaily:
Rok, strany: 2019, 1367 - 1380
Kľúčové slová:
best approximation; modulus of smoothness; direct theorem; inverse theorem
O článku:
In the Orlicz type spaces ${\mathcal S}M$, we prove direct and inverse approximation theorems in terms of the best approximations of functions and moduli of smoothness of fractional order. We also show the equivalence between moduli of smoothness and Peetre $K$-functionals in the spaces ${\mathcal S}M$.
Ako citovať:
ISO 690:
Chaichenko, S., Shidlich, A., Abdullayev, F. 2019. Direct and inverse approximation theorems of functions in the Orlicz type spaces ${\mathcal S}\scriptstyle M$. In Mathematica Slovaca, vol. 69, no.6, pp. 1367-1380. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0314
APA:
Chaichenko, S., Shidlich, A., Abdullayev, F. (2019). Direct and inverse approximation theorems of functions in the Orlicz type spaces ${\mathcal S}\scriptstyle M$. Mathematica Slovaca, 69(6), 1367-1380. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0314
O vydaní:
Vydavateľ: Mathematical Institute, Slovak Academy of Sciences, Bratislava
Publikované: 22. 12. 2019