In this article we introduce the sequence spaces cI（M）, c0I（M）, mI（M） and m0I（M） using the Orlicz function M. We study some of the properties like solid, symmetric, sequence algebra, etc and prove some inclusi...In this article we introduce the sequence spaces cI（M）, c0I（M）, mI（M） and m0I（M） using the Orlicz function M. We study some of the properties like solid, symmetric, sequence algebra, etc and prove some inclusion relations.展开更多
Let be a double sequence and let M be a bounded Orlicz function. We prove that x is I-pre-Cauchy if and only if This implies a theorem due to Connor, Fridy and Klin [1], and Vakeel A. Khan and Q. M. Danish Lohani [2]
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 Numbe...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.展开更多
文摘In this article we introduce the sequence spaces cI（M）, c0I（M）, mI（M） and m0I（M） using the Orlicz function M. We study some of the properties like solid, symmetric, sequence algebra, etc and prove some inclusion relations.
文摘Let be a double sequence and let M be a bounded Orlicz function. We prove that x is I-pre-Cauchy if and only if This implies a theorem due to Connor, Fridy and Klin [1], and Vakeel A. Khan and Q. M. Danish Lohani [2]
文摘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.
