On Relative Uniform Convergence of Triple Sequence of Functions

被引:0
|
作者
Kavya, P. V. [1 ]
Nath, Bijan [1 ]
Sen, Mausumi [1 ]
Tripathy, Binod Chandra [2 ]
机构
[1] Natl Inst Technol Silchar, Dept Math, Silchar, India
[2] Tripura Univ, Dept Math, Agartala 799022, India
关键词
Triple Sequence; Regular Convergence; Relative uniform convergence; Scale function;
D O I
10.5269/bspm.66132
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This paper discusses relative uniform convergence of triple sequence of functions that are defined on a compact domain. Another central idea that is discussed is the regular relative uniform convergence and the Cauchy relative uniform convergence of triple sequence of functions. The idea that a continuous triple sequence defined on a compact domain is relative uniform convergent if and only if it is relative uniform Cauchy has been discussed and established. Then we have introduced the Cesa & racute;o summability of triple sequences and a theorem regarding triple Cesa & racute;o summability of bounded relative uniform triple sequence of functions.
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页码:19 / 19
页数:1
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