An Application of Absolute Matrix Summability using Almost Increasing and delta-quasi-monotone Sequences
0
조회
0
다운로드
1
인용
0
참고문헌
키워드
초록
In the present paper, absolute matrix summability of in finite series is studied. A new theorem concerning absolute matrix summability factors, which generalizes a known theorem dealing with absolute Riesz summability factors of in finite series, is proved using almost increasing and -quasi-monotone sequences. Also, a result dealing with absolute Ces aro summability is given.
Abstract
In the present paper, absolute matrix summability of in finite series is studied. A new theorem concerning absolute matrix summability factors, which generalizes a known theorem dealing with absolute Riesz summability factors of in finite series, is proved using almost increasing and -quasi-monotone sequences. Also, a result dealing with absolute Ces aro summability is given.
참고문헌 (9)
- N. K. Bari, "Best approximations and differential proprerties of two conjugate functions", Tr. Mosk. Mat. Obs, 5, pp.483~522 (1956)
- R. P. Boas, "Quasi-positive sequences and trigonometric series", Proc. London Math. Soc, 14(3), pp.38~46 (1965)
- H. Bor, "On two summability methods", Math. Proc. Cambridge Philos. Soc, 97, pp.147~149 (1985)
- H. Bor, "An application of almost increasing and δ-quasi-monotone sequences", JIPAM. J. Inequal. Pure Appl. Math, 1(2), pp.6~ (2000)
- H. Bor, "Corrigendum on the paper "An application of almost increasing and δ-quasimonotone sequences"", JIPAM. J. Inequal. Pure Appl. Math, 3(1), pp.2~ (2002)
- T. M. Flett, "On an extension of absolute summability and some theorems of Littlewood and Paley", Proc. London Math. Soc, 7, pp.113~141 (1957)
- G. H. Hardy, "Divergent Series" (1949), Oxford University Press
- E. Kogbetliantz, "Sur les series absolument sommables par la methode des moyennes arithmetiques", Bull. Sci. Math, 49, pp.234~256 (1925)
- W. T. Sulaiman, "Inclusion theorems for absolute matrix summability methods of an infinite series. IV", Indian J. Pure Appl. Math, 34(11), pp.1547~1557 (2003)
