Birth date:
17.01.1955
E-mail: ,
Keywords: approximation of functions; integral equations; approximation of solutions of an operator equations.
Subject:
The intervals of uniform convergence of Newton–Kantorovich's method for nonlinear Volterra integral equations of second genus in Banach space were investigated. The issues of approximation functions of bounded Hardy's variation in the space $C(R^2)$ by means of shifts and dilations of one function were investigated (with V. V. Zhuk). The exact inequalities for the modulus of continuity of functions of several variables were established.
Main publications:
Dodonov N. Yu., Zhuk V. V. On approximation of functions of bounded variation in the space $C(R^2)$ by means of shifts and dilations of one function // International conference OFEA'2001, Russia, St. Petersburg, June 25–29, 2001, 127–128.