I have two areas of mathematical research interests; scientific and methodical.
I researched the connection of n-parametric semigroups of linear bounded operators with approximation theory and
proved theorems that generalized the results of K. Leeuw, "On the Adjoint Semigroup and some Problems in the
Theory of Approximations". Also, I researched approximation of summation functions by multiple singular integrals,
extending the work of P.L.Butzer, "Approximation and Furrier-Stilties Transforms". I generalized one
property of exponential function for family of linear bounded operators that depend on real parameter and weakly
absolute monotonous on any cone in Banah space.
I have researched methods of teaching mathematics, student self-studying and budget of time for self-study, connection
of mathematical and technical education, active methods of teaching, organization of student's self-work, and forms
of control of current performance of students. Also I researched the connection of mathematical and philosophical
problems in teaching.