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

V.A.  Khan; S. Suantai; K. Ebadullah

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

Authors

V.A. Khan Department of Mathematics A.M.U, Aligarh-202002, India
S. Suantai Department of Mathematics, Chiang Mai University, Chiang Mai 50200, Thailand
K. 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.)

Additional Files

Pages 145-152

Published

05/08/2012

How to Cite

Khan, V. ., Suantai, S., & Ebadullah, K. (2012). ON SOME I-CONVERGENT SEQUENCE SPACES DEFINED BY A SEQUENCE OF MODULI. Journal of Nonlinear Analysis and Optimization: Theory & Applications (JNAO), 3(2), 145–152. retrieved from https://ph03.tci-thaijo.org/index.php/jnao/article/view/2666