ON GENERALIZED  n-DUALS OF SOME DOUBLE SEQUENCE SPACES

Seraj Ahmed Khan; Ashfaque A. Ansari; Nafis Ahmad

ON GENERALIZED n-DUALS OF SOME DOUBLE SEQUENCE SPACES

Seraj Ahmed Khan Department of Mathematics & Statistics, D.D.U. Gorakhpur University, Gorakhpur-273009, (U.P.) India

Ashfaque A. Ansari Department of Mathematics & Statistics, D.D.U. Gorakhpur University, Gorakhpur-273009, (U.P.) India

Nafis Ahmad Department of Mathematics, Shibli National P.G. College, Azamgarh (U.P.) India

Volume 5, Issue 1 Pages 155-162 June 30, 2016 249 downloads

Article overview

Abstract

Ansari and Gupta [1] have generalized the η-dual of some double sequence spaces for 0 < r ≤ 1 and have established their perfectness in relation to
η-dual of order r, 0 < r ≤ 1. We have defined and determined the η-duals of some double sequence spaces of order r, for r > 0.

Keywords and Phrases

?-dualdual spaceperfect spaceslr?spaceconvergent sequencebounded variation.

AMS Subject Classification

40A05, 40B05, 46A45.

Reference information

How to Cite

Seraj Ahmed Khan, Ashfaque A. Ansari, Nafis Ahmad (2016). ON GENERALIZED n-DUALS OF SOME DOUBLE SEQUENCE SPACES. Journal of Ramanujan Society of Mathematics and Mathematical Sciences, 5(1), 155-162.

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