17 citations
- Universitat Autònoma de BarcelonaES6 papers
- Institució Catalana de Recerca i Estudis AvançatsES3 papers
- University of AlbertaCA3 papers
- Centre de Recerca MatemàticaES2 papers
- Computing CenterRU1 paper
- Far Eastern Branch of the Russian Academy of SciencesRU1 paper
- Joint Institute for Nuclear ResearchRU1 paper
- N.N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of SciencesRU1 paper
- Sobolev Institute of MathematicsRU1 paper
- Tula UniversityRU1 paper
- Ural Branch of the Russian Academy of SciencesRU1 paper
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math.CA2018
Fractional smoothness in with Dunkl weight and its applications
D. V. Gorbachev, V. I. Ivanov
We define fractional power of the Dunkl Laplacian, fractional modulus of smoothness and fractional -functional in -space with the Dunkl weight. As application, we prove dir…
math.PR2018★ 17 cited
On a bound of the absolute constant in the Berry--Esseen inequality for i.i.d. Bernoulli random variables
Anatolii Zolotukhin, Sergei Nagaev, Vladimir Chebotarev
It is shown that the absolute constant in the Berry--Esseen inequality for i.i.d. Bernoulli random variables is strictly less than the Esseen constant, if , where…