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New upper bounds for Mathieu-type series (CROSBI ID 147074)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Tomovski, Živorad ; Poganj, Tibor New upper bounds for Mathieu-type series // Banach journal of mathematical analysis, 3 (2009), 2; 9-15

Podaci o odgovornosti

Tomovski, Živorad ; Poganj, Tibor

engleski

New upper bounds for Mathieu-type series

The Mathieu's series $S(r)$ was considered firstly by \'E.L. Mathieu in 1890 ; its alternating variant $\widetilde S(r)$ has been recently introduced by Pog\'any et al. [11] where various bounds have been established for $S, \widetilde S$. In this note we obtain new upper bounds over $S(r), \widetilde S(r)$ with the help of Hardy - Hilbert double integral inequality.

Mathieu series; Alternating Mathieu--series; Hardy--Hilbert integral inequality; Upper bound inequality.

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Podaci o izdanju

3 (2)

2009.

9-15

objavljeno

1735-8787

Povezanost rada

Matematika

Poveznice
Indeksiranost