Tauberian theorems for power series methods applied to double sequences

被引:26
作者
Baron, S [1 ]
Stadtmuller, U [1 ]
机构
[1] UNIV ULM,ABT MATH 3,D-89069 ULM,GERMANY
关键词
D O I
10.1006/jmaa.1997.5473
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We discuss the relations between power series methods, weighted mean methods, and ordinary convergence for double sequences. In particular, we study Tauberian theorems for methods being products of the related one-dimensional summability methods. (C) 1997 Academic Press.
引用
收藏
页码:574 / 589
页数:16
相关论文
共 25 条
[1]  
ALPAR L, 1976, COLL MATH SOC JANOS, V19
[2]  
ALPAR L, 1980, P INT C CONSTR FUNCT, P195
[3]  
[Anonymous], 1975, THEORY FUNCTIONS
[4]   REVERSAL THEOREMS FOR RIESZ SUMMATION OF DOUBLE SERIES [J].
BARON, S ;
TIETZ, H .
ACTA MATHEMATICA HUNGARICA, 1991, 58 (3-4) :279-288
[5]  
BARON S, 1994, ANAL MATH, V20, P81
[6]  
BARON S, 1977, EINFUHRUNG LIMITIERU
[7]  
Bingham N., 1989, REGULAR VARIATION
[8]   ON RELATIONS BETWEEN WEIGHTED MEAN AND POWER-SERIES METHODS OF SUMMABILITY [J].
BORWEIN, D ;
KRATZ, W .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1989, 139 (01) :178-186
[9]   AN O-TAUBERIAN THEOREM AND A HIGH INDEXES THEOREM FOR POWER-SERIES METHODS OF SUMMABILITY [J].
BORWEIN, D ;
KRATZ, W .
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1994, 115 :365-375
[10]  
CHELIDZE VG, 1977, CERTAIN SUMMABILITY