Characterization of the rate of decay for the Fourier coefficients of functions of bounded form and the classes of analytic functions with infinitely differentiable boundary values

1995 ◽  
Vol 36 (4) ◽  
pp. 816-826 ◽  
Author(s):  
F. A. Shamoyan
Keyword(s):  
Analytic Functions ◽  
Fourier Coefficients ◽  
Boundary Values ◽  
Rate Of Decay ◽  
Bounded Form

scholarly journals On the Rational Approximation of Analytic Functions Having Generalized Types of Rate of Growth

2012 ◽  
Vol 2012 ◽  
pp. 1-10
Author(s):  
Devendra Kumar
Keyword(s):  
Rational Approximation ◽  
Analytic Functions ◽  
Best Approximation ◽  
Maximum Modulus ◽  
Approximation Of Functions ◽  
The Best Approximation ◽  
Approximation Errors ◽  
Rate Of Decay ◽  
Rates Of Growth

The present paper is concerned with the rational approximation of functions holomorphic on a domainG⊂C, having generalized types of rates of growth. Moreover, we obtain the characterization of the rate of decay of product of the best approximation errors for functionsfhaving fast and slow rates of growth of the maximum modulus.

scholarly journals Boundary values of analytic functions without distributional point values

2004 ◽  
Vol 35 (1) ◽  
pp. 53-60 ◽  
Author(s):  
Ricardo Estrada
Keyword(s):  
Analytic Functions ◽  
Boundary Values ◽  
Tangential Limits

We give a method to construct distributions that are boundary values of analytic functions which have non-tangential limits at points where the distributional point value does not exist.

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