Sergey Sadov

activity

20032026

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math.CA2025

Around the Fejér-Jackson inequality: Tight bounds for certain oscillatory functions via Laplace transform representations

Sergey Sadov

The error of approximation of the $2 π$ -periodic sawtooth function $(π - x) /2$ , $0 \leq x < 2 π$ , by its $n$ -th Fourier polynomial is shown to be bounded by arccot $((2 n + 1) sin (x /2))$ . Rel…

math.CO2025

Constructing strong starters of orders $3 p$ : triplication with SAT solver

Oleg Ogandzhanyants, Sergey Sadov, Margo Kondratieva

A novel approach to building strong starters in cyclic groups of orders $n$ divisible by 3 from starters of smaller orders is presented. A strong starter in $Z_{n}$ ( $n$ odd) is a pa…

Around the Fejér-Jackson inequality: Tight bounds for certain oscillatory functions via Laplace transform representations

Constructing strong starters of orders 3p: triplication with SAT solver

Constructing strong starters of orders $3 p$ : triplication with SAT solver