Moduli of smoothness of functions and their derivatives

• Autorzy: Z. Ditzian , S. Tikhonov
• Języki publikacji: EN

Abstrakty

EN

Relations between moduli of smoothness of the derivatives of a function and those of the function itself are investigated. The results are for $L_{p}(T)$ and $L_{p}[-1,1]$ for 0 < p < ∞ using the moduli of smoothness $ω^{r}(f,t)_{p}$ and $ω^{r}_{φ}(f,t)_{p}$ respectively.

Kategorie tematyczne

• 41A28: Simultaneous approximation
• 26D10: Inequalities involving derivatives and differential and integral operators
• 41A27: Inverse theorems

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2007
• Tom: 180
• Numer: 2
• Strony: 143-160

Daty

wydano

2007

Twórcy

autor

Z. Ditzian

• Department of Mathematical Sciences, University of Alberta, Edmonton, Alberta, Canada T6G 2G1

autor

S. Tikhonov

• Scuola Normale Superiore, Piazza dei Cavalieri, 7, Pisa 56126, Italy

Identyfikatory

DOI

10.4064/sm180-2-4