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