I -uniform continuity and I -uniform boundedness of a function

Demonstratio mathematica

article

Sanjoy Ghosal¹ 

[1] Faculty of Science, Department of Mathematics, Kalyani Government Engineering College

关键词: ideals;    filter;    I-uniform convergence;    I-uniform continuity;    I-uniform boundedness;   

DOI  :  10.1515/dema-2013-0407

学科分类：外科医学

来源: De Gruyter

【 摘 要 】

The concepts of I -convergence and I -Cauchy condition are a generalization of statistical convergence and statistical Cauchy conditions and are dependent on the notion of the ideal I of subsets of the set ℕ of positive integers. In this paper, we shall introduce two new notions of I -uniform continuity and I -uniform boundedness of a function with values in ℝ or in a metric space and then study their basic properties.

【 授权许可】

CC BY