刊名:Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences)
出版年:2015
出版时间:November 2015
年:2015
卷:50
期:6
页码:300-305
全文大小:610 KB
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作者单位:B. V. Vynnyts’kyi (1) R. V. Khats’ (1)
1. Ivan Franko State Pedagogical University, Drohobych, Ukraine
刊物类别:Mathematics and Statistics
刊物主题:Mathematics Mathematics Russian Library of Science
出版者:Allerton Press, Inc. distributed exclusively by Springer Science+Business Media LLC
ISSN:1934-9416
文摘
We find sufficient conditions for the basisness of the system (\(\sqrt {x\rho k} {J_v}\left( {x\rho k} \right):k \in N\)) in the space L 2(0; 1) and establish a relationship between the approximation properties of this system and the properties of the system (τ ν+1/2E1/2(−τ 2 ρ k 2 ; μ): k ∈ N), where J ν is the Bessel function of the first kind of index ν and E ρ (z; μ) is the Mittag-Leffler-type function. Keywords Entire function of exponential type Bessel function;Mittag-Leffler-type function basis complete system minimal system biorthogonal system