Móricz Ferenc honlapja

Személyi adatok | Publikációk | Oktatási tevékenységek


Publikációs lista

Vissza.

Cím:The order of magnitude of the (C,$\alpha$ $\ge 0,\beta \ge 0)$-means of double orthogonal series.
Szerző:M\'oricz, Ferenc
Forrás:Rocky Mt. J. Math. 16, 323-334 (1986).
Nyelv:English
Absztrakt:The C($\alpha$,$\beta)$-means, which are the Cesaro means for double series, of general double orthogonal series are estimated. The author extends his earlier results on C(1,1)-means to the parameter range $\alpha,\beta >0$ getting this way the order $o\sb x(\log \log m\cdot \log \log n)$ a.e.. This is not too surprising, however with his method he is able to derive another estimate involving quadratic averages of C(0,0)- (and even C($\alpha$,0), $\alpha >-1/2)$ means with respect to the first summing index m which is remarkable, namely instead of the order $o\sb x(\log m\cdot \log n)$ that one would expect he gets $o\sb x(\log \log m\cdot \log n)$ a.e. for them.} \RV{V.Totik 
Letöltés:  | Zentralblatt