ON SOME I-CONVERGENT SEQUENCE SPACES DEFINED BY A SEQUENCE OF MODULI

VAKEEL.A.  KHAN; SUTHEP  SUANTAI; KHALID  EBADULLAH

ON SOME I-CONVERGENT SEQUENCE SPACES DEFINED BY A SEQUENCE OF MODULI

Authors

VAKEEL.A. KHAN Department of Mathematics A.M.U, Aligarh-202002, India
SUTHEP SUANTAI Department of Mathematics, Chiang Mai University, Chiang Mai 50200, Thailand
KHALID EBADULLAH Department of Mathematics A.M.U, Aligarh-202002, India

Keywords:

Ideal, Filter, Sequence of moduli, Lipschitz function, I-convergence field, I-convergent, Monotone, Solid spaces

Abstract

In this article we introduce the sequence spaces $c_0^I(F), c^I (F)$ and $\ell_\infty(F)$ for the sequence of modulii $F = (f_k)$ and study some of the properties of these spaces. The results here in proved are analogus to those by Vakeel.A.Khan and Khalid Ebadullah (Theory and Applications of Mathematics and Computer Science,1(2)(2012)22-30.)