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We construct a family of irreducible unitary representations of the loop affine group of a line (ax+b group) with central extension on the Hilbert space of square integrable functions with respect to ...
Using the inclusions between the unit balls for the p-norms, we obtain a new inequality for the gamma function.
By means of the convex properties of function , we obtain a new proof of a generalization of a double inequality on the Euler gamma function, obtained by Jozsef Sándor.
We obtain a new proof of a generalization of a double inequality on the Euler gamma function, obtained by C. Alsina and M. S. Tomas [1].
An Interesting Double Inequality for Euler's Gamma Function.
In this paper, the geometric convexity of a function involving gamma function is studied, as applications to inequality theory, some important inequalities which improve some known inequalities, inclu...
Inequalities for the Gamma Function.
In this article, we give the monotonicity and concavity properties of some functions involving the gamma function and some equivalence sequences to the sequence n! with exact equivalence constants...
Monotonicity and Convexity for the Gamma Function.
Monotonicity Results for the Gamma Function.
In this paper, some sharp inequalities for bounding the gamma function and the ratio of two gamma functions are established. From these, several known results are recovered, refined, extended and gen...
Some Inequalities for the $q$-Gamma Function.
In this paper are established some inequalities involving the Euler gamma function. We use the ideas and methods that were used by J. Sándor in his paper [2].
In this short paper, as a complement of the double inequality on the Euler gamma function, obtained by József Sándor in the paper [A note on certain inequalities for the gamma function, J. Inequal. Pu...

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