On the convergence of weighted mean summable improper integrals over $${\mathbb {R}}_{\ge 0}$$
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Geometry and Topology,Algebra and Number Theory,Analysis
Link
https://link.springer.com/content/pdf/10.1007/s41478-022-00501-2.pdf
Reference13 articles.
1. Chen, C.P., and C.T. Chang. 2011. Tauberian theorems for the weighted means of measurable functions of several variables. Taiwanese Journal of Mathematics 15: 181–199.
2. Fekete, Á., and F. Móricz. 2005. Necessary and sufficient Tauberian conditions in the case of weighted mean sumable integrals over $${\mathbb{R} }_+$$. II". Publicationes Mathematicae Debrecen 67: 65–78.
3. Hardy, G.H., and J.E. Littlewood. 1914. Tauberian theorems concerning power series and Dirichlet’s series whose coefficients are positive. Journal of London Mathematics Society 13: 174–191.
4. Kloosterman, H.D. 1940. On the convergence of series summable $$(C, r)$$ and on the magnitude of the derivatives of a function of a real variable. Journal of London Mathematics Society 15: 91–96.
5. Móricz, F., and U. Stadtmüller. 2012. Characterization of the convergence of weighted averages of sequences and functions. Periodica Mathematica Hungarica 65: 135–145.
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