Affiliation:
1. Lesya Ukrainka Volyn National University, Lutsk, Ukraine
Abstract
The study is devoted to some applied aspects of the Dirac delta function. On
the basis of this function, an integral representation was found for the
deviation of the functions of the Holder class ${H}^{\alpha }$ ($0<\alpha <1$) from their Poisson integrals in the upper half-plane. In the current
research, exact equalities of the upper bounds for the deviations of the
functions of the Holder class ${H}^{\alpha }$ from the Poisson operators in
the upper half-plane were found by applying the known properties of the
Dirac delta function.
Publisher
Institute of Applied Mathematics and Mechanics of the National Academy of Sciences of Ukraine