Speciality:
01.01.01 (Real analysis, complex analysis, and functional analysis)
E-mail: Keywords: Fourier multipliers,
Fourier series and integrals,
comparison of linear operators,
approximation of functions with different restrictions,
trigonometric Taylor polynomial,
best approximation,
modulus of smoothness,
two-sided approximation estimates,
piecewise one-sided approximation,
factorization of differential operators.
UDC: 517.5, 517.51, 517.52
Subject:
Fourier Analysis and Approximation of functions.
Main publications:
R. M. Trigub, “On the best approximation of non integer constants by polynomials with integer coefficients”, J. Math. Sci., 274, No 3 (2023), 402-421
R. Trigub, “NORMS OF LINEAR FUNCTIONALS, SUMMABILITY OF TRIGONOMETRIC
FOURIER SERIES AND WIENER ALGEBRAS
Operator Theory and Harmonic Analysis.”, 1 New General Trends and Advances of the Theory, 2021, 549-568
Springer Proceedings in Mathematics &
Statistics
E. Liflyand, R. Trigub, “Wiener Algebras and Trigonometric Series in a Coordinated
Fashion”, Constructive Approximation, 54 (2021), 185–206
E. Liflyand, R. Trigub, “Conditions for the absolute convergence of Fourier integrals”, J. Appr. Theory, 163:4 (2011), 438–459
R.M. Trigub, E.S. Belinsky, Fourier Analysis and Approximation of Functions, Kluwer- Springer, 2004, 586 pp.
