I. J. Maddox, “Sequence Spaces Defined by a Modulus,” Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 100, 1986, pp. 161-166. doi:10.1017/S0305004100065968

has been cited by the following article:

• TITLE: On Some I-Convergent Double Sequence Spaces Defined by a Modulus Function

  AUTHORS: Vakeel. A. Khan, Nazneen Khan

  KEYWORDS: Ideal; Filter; Modulus Function; Lipschitz Function; I-Convergence Field; I-Convergent; Monotone and Solid Double Sequence Spaces

  JOURNAL NAME: Engineering, Vol.5 No.5A, May 24, 2013

  ABSTRACT: In 2000, Kostyrko, Salat, and Wilczynski introduced and studied the concept of I-convergence of sequences in metric spaces where I is an ideal. The concept of I-convergence has a wide application in the field of Number Theory, trigonometric series, summability theory, probability theory, optimization and approximation theory. In this article we introduce the double sequence spaces and ,for a modulus function f and study some of the properties of these spaces.