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A study on quasi power increasing sequences. (English) Zbl 1170.40003

The authors generalize a summability result of H. Bor and H. Seyhan [Ann. Soc. Math. Pol., Ser. I, Commentat. Math. 39, 37–42 (1999; Zbl 0972.40004)]. It is not clear what the use of the result is.

MSC:

40D15 Convergence factors and summability factors
40F05 Absolute and strong summability
40G99 Special methods of summability

Citations:

Zbl 0972.40004
Full Text: DOI

References:

[1] S. Aljancic and D. Arandelovic, \(O\)-regularly varying functions , Publ. Inst. Math. 22 (1977), 5-22. · Zbl 0379.26003
[2] M. Balcı, Absolute \(\varphi\)-summability factors , Comm. Faculty Sci. Univ. Ankara 29 (1980), 63-80. · Zbl 0498.40004
[3] H. Bor, Some theorems on absolute summability factors , J. Analysis 5 (1997), 33-42. · Zbl 0918.40002
[4] ——–, An application of quasi power increasing sequences , Austral. J. Math. Anal. Appl. 1 (2004), 5 pages (electronic). · Zbl 1054.40010
[5] H. Bor and H. Seyhan, A note on almost increasing sequences , Comment. Math. Prace Mat. 39 (1999), 37-42. · Zbl 0972.40004
[6] L.S. Bosanquet, A mean value theorem , J. London Math. Soc. 16 (1941), 146-148. · Zbl 0028.21901 · doi:10.1112/jlms/s1-16.3.146
[7] E. Kogbetliantz, Sur lés series absolument sommables par la méthode des moyennes arithmétiques , Bull. Sci. Math. 49 (1925), 234-256. · JFM 51.0182.01
[8] L. Leindler, A new application of quasi power increasing sequences , Publ. Math. Debrecen 58 (2001), 791-796. · Zbl 0980.40004
[9] T. Pati, The summability factors of infinite series , Duke Math. J. 21 (1954), 271-284. · Zbl 0057.30002 · doi:10.1215/S0012-7094-54-02127-4
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