Two sharp inequalities for operators in a Hilbert space

In this paper we obtained generalisations of the L. V. Taikov’s and N. Ainulloev’s sharp inequalities, which estimate a norm of function's first-order derivative (L. V. Taikov) and a norm of function's second-order derivative (N. Ainulloev) via the modulus of continuity or the modulus of smoothness...

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書誌詳細

第一著者:	N.O. Kriachko
フォーマット:	Artigo
言語:	Inglês
出版事項:	Oles Honchar Dnipro National University 2022-07-01
シリーズ:	Researches in Mathematics
主題:	hilbert space self-adjoint operator modulus of smoothness partition of unity strongly continuous group of unitary operators
オンライン･アクセス:	https://vestnmath.dnu.dp.ua/index.php/rim/article/view/387/387
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