19 citations · 54 across the 29 of their papers we have counts for
8 papers · 1 filter
A Class of logarithmically completely monotonic functions relating the -gamma function and applications
Khaled Mehrez
In this paper, the logarithmically complete monotonicity property for a functions involving -gamma function is investigated for As applications of this results, som…
Extension of Huygens type inequalities for Bessel and modified Bessel Functions
Khaled Mehrez
In this paper, new sharpened Huygens type inequalities involving Bessel and modified Bessel functions of the first kinds are established
Logarithmically completely monotontic functions related the gamma and the digamma functions with applications
Khaled Mehrez
In this paper we present several new classes of logarithmically completely monotonic functions. Our functions have in common that they are defined in terms of the gamma and $q-…
Some new refined Hardy type integral inequalities
Khaled Mehrez
In this paper, by using Jensen's inequality and Chebyshev integral inequality, some generalizations and new refined Hardy type integral inequalities are obtained. In addition, the…
Turán Type Inequalities for The -exponential functions
Khaled Mehrez
In this paper our aim is to deduce some sharp Turán type inequalities for the remainder exponential functions. Our results are shown to be a generalization of results which wer…
Dunkl completely monotonic functions
Jamel El Kamel, Khaled Mehrez
We introduce the notion of Dunkl completely monotonic functions on . We establish a restrictive version of the analogue of Schoenberg's theorem in Dunkl set…
Turán Type Inequalities for Dunkl Kernel and -Dunkl Kernel
Khaled Mehrez, Mariem Ben Said, Jamel El Kamel
We prove turán type inequalities for Dunkl kernel. We provide a -integral representation for the -Dunkl kernel. Using a -version of Schwartz inequality, we get a turán typ…
Monotonicity of ratios of q-Kummer confluent hypergeometric and q-hypergeometric functions and associated Turán types inequalities
Khaled Mehrez, Sergei M. Sitnik
In this paper we prove monotonicity of some ratios of --Kummer confluent hypergeometric and --hypergeometric functions. The results are also closely connected with Turán type…