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ON SOME GENERALIZED CESARO DIFFERENCE SEQUENCE SPACES

Journal Name:

  • İstanbul Üniversitesi Fen Fakültesi Matematik, Fizik ve Astronomi Dergisi

Publication Year:

  • 1996-1997
Author NameUniversity of Author
Abstract (2. Language): 
In this paper, we have defined generalized Cesàro difference sequence spaces Cp(Am), 1 <p < co, and Cm(Am) and investigated some properties of these spaces and compute their Kothe-Toeplitz duals where m e N. Further, we have determined the matrices of classes (E, Cp (Am )) and (E, CK (Am )) where E denotes one of the sequence spaces /„ and c namely the linear spaces of bounded and convergent sequences, respectively. This study generalizes some results ofNg and Lee [4] and Orhan [5] in special cases.
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FULL TEXT (PDF): 
PDF icon arastrmx_190866_55-56_pp_221-229.pdf
221-229
  • English

REFERENCES

References: 

[I] Et, M and Çolak, R : On Some Generalized Difference Sequence Spaces. Soochow Journal of Mathematics Vol. 21, No; 4, 317-386 (1995).
[2]
Kamthan, P.K. and Gupta, M. ; Sequence Spaces and Series, Marcel Dekker Inc. New York, (1981)
[3]
Ng, P. N; Matrix transformations of Cesâro sequence spaces of a non-absolute type. Tamkang J. Math. ¡0
(1979), 215-221.
[4]
Ng, P.N. and Lee, P.Y: Cesâro sequence spaces of non-absolute type. Comment. Math. 20 (1978), 429-433. [5] Orhan, C : Cesâro difference sequence spaces and related matrix transformations. Comm. Fac. Sci. Univ. Ankara Ser. A, 32 (1983), 55-63
[6]
Shiue, J.S: On the Cesâro sequence spaces. Tamkang J. Math. (1970), 19-25

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