Trigonometric polynomials of least deviation from zero in measure and related problems. - Vitalii V. Arestov; Alexei S. Mendelev (J. Approx. Theory, 2010)

Sharp integral inequalities for fractional derivatives of trigonometric polynomials. - Vitalii V. Arestov; Polina Yu. Glazyrina (J. Approx. Theory, 2012)

Best approximation of the differentiation operator in the space L2 on the semiaxis. - Vitalii V. Arestov; Maria Filatova (J. Approx. Theory, 2014)

On Nikol'skii type inequality between the uniform norm and the integral q-norm with Laguerre weight of algebraic polynomials on the half-line. - Vitalii V. Arestov; Marina Deikalova; Ágota Horváth (J. Approx. Theory, 2017)

Best Approximation of a Differentiation Operator on the Set of Smooth Functions with Exactly or Approximately Given Fourier Transform. - Vitalii V. Arestov (MOTOR, 2019)