Discrete analogs of inequalities of Wirtinger

1955 ◽  
Vol 59 (2) ◽  
pp. 73-90 ◽  
Author(s):  
Ky Fan ◽  
Olga Taussky ◽  
John Todd
Keyword(s):  
2010 ◽  
Vol 225 (5) ◽  
pp. 2828-2839 ◽  
Author(s):  
Larry Guth ◽  
Nets Hawk Katz

1974 ◽  
Vol 11 (3) ◽  
pp. 339-358
Author(s):  
C. Wayne Mastin

This paper gives convergence properties and applications of the discrete analogs of reproducing kernels for various families of harmonic functions. From these results information is obtained on the solution of interpolation problems, the convergence of the discrete Neumann's function, and the solution to problems involving the discrete biharmonic operator.


2020 ◽  
Vol 1 (1) ◽  
pp. 73-78
Author(s):  
P. Kosobutskyy ◽  
N. Nestor

In this paper, the regularities of convolution of sequences c of Fibonacci numbers {Fn} generated by metallic means and the sum of products of two statistically independent sequences {Fi} and Jn=j∙sin(0.5π(n-j)) are investigated. It is shown that the known closed forms of sums for convolution and product are similar. Attention to the study of the convolution of two sequences of discrete data is associated with the use of this method for statistical signal processing. This problem involves calculating finite sums as discrete analogs of definite integrals. Such a problem is considered solved if the formula for the sum is expressed in a closed form as a function of its members and their number.


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