Abstract We study the log-convexity of the extended beta functions. As a consequence, we establish Turán-type inequalities. The monotonicity, log-convexity, log-concavity of extended hypergeometric functions are deduced by using the inequalities on extended beta functions. The particular cases of those results also give the Turán-type inequalities for extended confluent and extended Gaussian hypergeometric functions. Some reverses of Turán-type inequalities are also derived
In this article, the logarithmic convexities of the extended mean values are proved, an inequality o...
In this article, the logarithmic convexities of the extended mean values are proved, an inequality o...
We do not only give the extensions of the results given by Gill et al. (1997) for log-convex functi...
Abstract We study the log-convexity of the extended beta functions. As a consequence,...
International audienceIn the paper, the authors establish the logarithmic convexity and some inequal...
AbstractWe find sufficient conditions for log-convexity and log-concavity for the functions of the f...
Abstract In the paper, the authors present some inequalities involving the extended gamma function a...
Kottakkaran Sooppy Nisar, Feng Qi, Gauhar Rahman, Shahid Mubeen, and Muhammad Arshad, Some inequalit...
A variety of extensions of the classical beta function and the Gauss hypergeometric function 2F1 hav...
A variety of extensions of the classical beta function and the Gauss hypergeometric function 2F1 hav...
In this paper we study the convexity and concavity properties of generalized trigonometric and hype...
AbstractIn this note we offer some inequalities involving modified Bessel functions of the first kin...
AbstractIt is shown that some well-known Padé approximations for a particular form of the Gaussian h...
In this manuscript, we obtain some new general inequalities in the form of Hermite-Hadamard type and...
In this article, the logarithmic convexities of the extended mean values are proved, an inequality o...
In this article, the logarithmic convexities of the extended mean values are proved, an inequality o...
In this article, the logarithmic convexities of the extended mean values are proved, an inequality o...
We do not only give the extensions of the results given by Gill et al. (1997) for log-convex functi...
Abstract We study the log-convexity of the extended beta functions. As a consequence,...
International audienceIn the paper, the authors establish the logarithmic convexity and some inequal...
AbstractWe find sufficient conditions for log-convexity and log-concavity for the functions of the f...
Abstract In the paper, the authors present some inequalities involving the extended gamma function a...
Kottakkaran Sooppy Nisar, Feng Qi, Gauhar Rahman, Shahid Mubeen, and Muhammad Arshad, Some inequalit...
A variety of extensions of the classical beta function and the Gauss hypergeometric function 2F1 hav...
A variety of extensions of the classical beta function and the Gauss hypergeometric function 2F1 hav...
In this paper we study the convexity and concavity properties of generalized trigonometric and hype...
AbstractIn this note we offer some inequalities involving modified Bessel functions of the first kin...
AbstractIt is shown that some well-known Padé approximations for a particular form of the Gaussian h...
In this manuscript, we obtain some new general inequalities in the form of Hermite-Hadamard type and...
In this article, the logarithmic convexities of the extended mean values are proved, an inequality o...
In this article, the logarithmic convexities of the extended mean values are proved, an inequality o...
In this article, the logarithmic convexities of the extended mean values are proved, an inequality o...
We do not only give the extensions of the results given by Gill et al. (1997) for log-convex functi...
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