Geodesic
Moduli of smoothness of functions and their derivatives
Z. Ditzian1 ; S. Tikhonov2
1 Department of Mathematical Sciences University of Alberta Edmonton, Alberta Canada T6G 2G1
2 Scuola Normale Superiore Piazza dei Cavalieri, 7 Pisa 56126, Italy
Studia Mathematica, Tome 180 (2007) no. 2, pp. 143-160

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 \infty $ using the moduli of smoothness $\omega ^r(f,t)_p$ and $\omega ^r_\varphi (f,t)_p$ respectively.
DOI : 10.4064/sm180-2-4
Keywords: relations between moduli smoothness derivatives function those function itself investigated results infty using moduli smoothness omega omega varphi respectively

Z. Ditzian 1 ; S. Tikhonov 2

1 Department of Mathematical Sciences University of Alberta Edmonton, Alberta Canada T6G 2G1
2 Scuola Normale Superiore Piazza dei Cavalieri, 7 Pisa 56126, Italy 
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Z. Ditzian; S. Tikhonov. Moduli of smoothness of functions and their derivatives. Studia Mathematica, Tome 180 (2007) no. 2, pp. 143-160. doi: 10.4064/sm180-2-4

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