Correction
Abstract
Full Text
Correction
In the article by I. I. Ogiyevetsky, “On the theory of fractional differentiation and integration of periodic functions belonging to the class (L_p,\ p>1),” published in DAN, vol. 118, no. 3, 1958.
| Printed | Should read | |
|---|---|---|
| p. 444, line 6 from below | (O(1-n^{1-\alpha})) | (O(1/n^{1-\alpha})) |
| p. 445, line 10 | (0<1+\beta-\gamma<1) | (0<1+\beta+\delta-\gamma<1) |
| p. 445, line 18 | ((f_\gamma)_\delta \subset \operatorname{Lip}(1-\beta-\gamma-\delta,\ p)) | ((f^\gamma)_\delta \subset \operatorname{Lip}(1-\beta-\gamma+\delta,\ p)) |
| p. 445, line 20 | (\alpha+\beta-\dfrac{1}{p}-\dfrac{p}{p'}=1) | (\alpha+\beta-\dfrac{1}{p}+\dfrac{1}{p'}=1) |
| p. 446, line 21 | (f_\beta(x)\subset \operatorname{Lip}\left(1+\beta-\dfrac{1}{p}-\dfrac{1}{p'},\ p'\right)) | (f_\beta(x)\subset \operatorname{Lip}\left(1+\beta-\dfrac{1}{p}+\dfrac{1}{p'},\ p'\right)) |
| p. 446, line 23 | (\beta=\dfrac{1}{p}+\dfrac{1}{p'}) | (\beta=\dfrac{1}{p}-\dfrac{1}{p'}) |
| p. 446, line 24 | (\alpha-\gamma-\dfrac{1}{p}+\dfrac{1}{p'}=0) | (\alpha-\gamma-\dfrac{1}{p}+\dfrac{1}{p'}>0) |
T-08899. Signed for printing 24 IX 1958. Print run 5400 copies. Order 844
Paper size (70\times108^{1}/{16}). Paper sheets (6^{3}/). Printed sheets (18.5+6) inserts. Publisher’s sheets 18.7
2nd Printing House of the Publishing House of the Academy of Sciences of the USSR. Moscow, Shubinsky Lane, 10.
Submission history
[v1] 1958-01-01