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Some two-sided bounding inequalities for Butzer -Flocke - Hauss Omega function (CROSBI ID 126855)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Poganj, Tibor ; Srivastava Hari M. Some two-sided bounding inequalities for Butzer -Flocke - Hauss Omega function // Mathematical inequalities & applications, 10 (2007), 3; 587-595

Podaci o odgovornosti

Poganj, Tibor ; Srivastava Hari M.

engleski

Some two-sided bounding inequalities for Butzer -Flocke - Hauss Omega function

A new integral representation is obtained for the Butzer-Flocke-Hauss complete real-argument Omega function $\Omega(x), $ which is closely associated with the complex-index Bernoulli function $B_\alpha(z)$ and with the complex-index Euler function $E_\alpha(z).$ Three two-sided bounding inequalities are given for this Omega function and their efficiency is also discussed.

Butzer--Flocke--Hauss complete Omega function ; Chaplygin type differential inequality ; Chaplygin type comparison theorem ; Dirichlet series ; integral representation of the Omega function ; Laplace integral representation of Dirichlet series.

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Podaci o izdanju

10 (3)

2007.

587-595

objavljeno

1331-4343

1848-9966

Povezanost rada

Matematika

Indeksiranost