Uniform approximation by positive operators on infinite intervals

1984 ◽  
Vol 10 (2) ◽  
pp. 163-182 ◽  
Author(s):  
V. Totik
Keyword(s):  
Uniform Approximation ◽  
Positive Operators ◽  
Approximation By Positive Operators ◽  
Infinite Intervals

scholarly journals On the uniform convergence of a q-series

2016 ◽  
Vol 32 (2) ◽  
pp. 141-146
Author(s):  
OCTAVIAN AGRATINI ◽  
◽  
VIJAY GUPTA ◽  
Keyword(s):  
Uniform Convergence ◽  
Upper Bound ◽  
Uniform Approximation ◽  
Approximation Error ◽  
Modulus Of Smoothness ◽  
Positive Operators ◽  
Linear Positive Operators

The paper deals with a class of linear positive operators expressed by q-series. By using modulus of smoothness an upper bound of approximation error is determined. We identify functions for which these operators provide uniform approximation over noncompact intervals. A particular case is delivered.

Approximation by positive operators

1973 ◽  
Vol 131 (4) ◽  
pp. 273-282 ◽  
Author(s):  
Tsuyoshi Ando ◽  
Takashi Sekiguchi ◽  
Teruo Suzuki
Keyword(s):  
Positive Operators ◽  
Approximation By Positive Operators
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