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  Far East Journal of Mathematical Sciences (FJMS)  
 ISSN: 0972-0871
 
 
 

     Far East Journal of Mathematical Sciences (FJMS)
    Volume 28, Issue 3, Pages 613 - 621 (March 2008)


DIFFERENCE SEQUENCE SPACES OF ENTIRE SEQUENCES DEFINED BY ORLICZ FUNCTIONS

N. Subramanian (India) and N. Saivaraju (India)

Received July 20, 2007; Revised September 21, 2007

References:



[1] Çiu A. Bektas and R. Çolak, Generalized difference sequence spaces defined by a sequence of moduli, Soochow J. Math. 29 (2003), 215-220.

[2] R. Çolak and M. Et, On some generalized difference sequence spaces and related matrix transformations, Hokkaido Math. J. 26 (1997), 483-492.

[3] A. K. Gaur and Mursaleen, Difference sequence spaces defined by a sequence of moduli, Demonstratio Math. 31 (1998), 275-278.

[4] H. Kizmaz, On certain sequence spaces, Canad. Math. Bull. 24 (1981), 169-176.

[5] E. Kolk, On strong boundedness and summability with respect to a sequence of moduli, Tartu Ül. Toimetised 960 (1993), 41-50.

[6] E. Kolk, Inclusion theorems for some sequence spaces defined by a sequence of moduli, Tartu Ül. Toimetised 970 (1994), 65-72.

[7] J. Lindenstrauss and L. Tzafriri, On Orlicz sequence spaces, Israel J. Math. 10 (1971), 379-390.

[8] I. J. Maddox, Sequence spaces defined by a modulus, Math. Proc. Cambridge Philos. Soc. 100 (1986), 161-166.

[9] H. Nakano, Concave modulars, J. Math. Soc. Japan 5(1) (1953), 29-49.

[10] W. H. Ruckle, FK spaces in which the sequence of coordinate vectors is bounded, Canad. J. Math. 25 (1973), 973-978.

[11] B. C. Tripathy, Generalised difference paranormed statistically convergent sequences defined by Orlicz functions in a locally convex space, Soochow J. Math. 30 (2004), 431-446.

Keywords and phrases: orlicz function, moduli, difference sequence, entire sequence, analytic sequence.

 


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