Approximation of Differentiable Periodic Functions by Their Biharmonic Poisson Integrals

K. M. Zhyhallo,Yu. I. Kharkevych

Approximation of Differentiable Periodic Functions by Their Biharmonic Poisson Integrals

2002

K. M. Zhyhallo
Yu. I. Kharkevych

We determine the exact values and asymptotic decompositions of upper bounds of approximations by biharmonic Poisson integrals on classes of periodic differentiable functions.

Keywords:

Mathematics
Biharmonic equation
Mathematical analysis
Mathematical optimization
Differentiable function
Periodic function
Periodic graph (geometry)
Poisson kernel
Upper and lower bounds
Poisson distribution

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