Further Generalisation of Density

Sakambari Mishra

Abstract


The purpose of our present note is to further generalise the denition of lower asymptotic
density given by Das ,Mishra and Ray [3] and introduced by Freedman and Sember[4], using
the class of conservative matrices A = (ank(i)) such that limn ank(i) = 0 uniformly in i
which can be applicable to characterise the conservative matrices.


Keywords


Conservative, coregular and conull matrices,lower asymptotic density.

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References


Das, G. : Sublinear functionals and a class of conservative matrices, Bulletin of the

Institute of Math. Academia Sinica, 15 ( 1987 ), 89-106.

Das ,G. Mishra,S.and B.K.Ray :A generalised statistical convergence1Thai Journal of

Mathematics 12 (2014) No 3, 687-698 .

Das ,G. Mishra,S.and B.K.Ray :A generalised density,,International Jr. of Mathemat-ical science and application , 5 (2015),No. 2, 465-472 .

Freedman, A.R. and Sember, J.J. : Densities and Summability, Pacic , J.Math.,

(1981), 293-305.

Stieglitz,M. : Fine Verall gemeineinerung des Begri der Jepoaical, 18 (1973), 53-70.


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