D. Dmitrishin

activity

20242026

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math.CV2025

Extremal polynomials for the Rogosinski--SzegÅ estimates of the third coefficient of nonnegative sine polynomials

Dmitriy Dmitrishin, Alexander Stokolos, Walter Trebels

In the class of normalized sine-polynomials $S (t),$ non-negative on $[0, I ¨ ],$ W.Rogosinski and G.SzegÅ 1950 considered a number of extremal problems and proved, among other things…

math.CA2025

Extremizers for the Rogosinski-SzegÃ¶ estimate of the second coefficient in nonnegative sine polynomials

Dmitriy Dmitrishin, Alexander Stokolos, Walter Trebels

For the class of sine polynomials $b_{1} sin t + b_{2} sin 2 t + ... + b_{N} sin N t, (b_{N} \neq = 0),$ which are nonnegative on $(0, I ¨ )$ , W. Rogosinski and G. SzegÃ¶ derived, among other things,…

Extremal polynomials for the Rogosinski--SzegÅ estimates of the third coefficient of nonnegative sine polynomials

Extremizers for the Rogosinski-SzegÃ¶ estimate of the second coefficient in nonnegative sine polynomials

Extremal polynomials for the Rogosinski--SzegÅ estimates of the third coefficient of nonnegative sine polynomials