Properties of Laplace-Stieltjes-type integrals

DOI10.30970/MS.60.2.115-131OpenAlexW4389918611MaRDI QIDQ6140505

M. N. Sheremeta

Publication date: 22 January 2024

Published in: Matematychni Studiï (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.30970/ms.60.2.115-131

zbMATH Keywords

generalized orderLaplace-Stieltjes integralcentral pointmaximum of integrand

Mathematics Subject Classification ID

Integrals of Riemann, Stieltjes and Lebesgue type (26A42) Dirichlet series, exponential series and other series in one complex variable (30B50)

Cites Work

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• A remark on basis property of systems of Bessel and Mittag-Leffler type functions
• Completeness of the system \(\{f(\lambda _ nz)\}\)
• A description of certain absolutely representing systems
• Representation of functions by series \(\sum^\infty_{n=1}d_nf(\lambda_nz)\)
• On two classes of positive functions and belonging to them of main characteristics of entire functions
• Effective expansion of analytic functions in series in generalized systems of exponents
• Estimates of the Laplace-Stieltjes integral.
• On the growth of series in system of functions and Laplace-Stieltjes integrals
• Mean and weak convergence of Fourier-Bessel series
• Complete biorthogonal systems of Bessel functions
• Some approximation properties of the systems of Bessel functions of index \(-3/2\)
• Complete sets of Bessel and Legendre functions
• The Mean Convergence of Fourier-Bessel Series
• Rate of Convergence of Positive Series

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