In this paper, we establish Panaitopol-Bandila-Lascu type inequalities for some generalized hyperbolic functions. The established results extend and generalize some earlier results due Barbu and Piscoran. The procedure makes use of the classical arithmetic-geometric mean inequali...
Open access
Research Article10.9734/arjom/2020/v16i530190
This study is focused on monotonicity and convexity properties of a generalized form of the Wallis’ cosine formula. Specifically, by using the integral form of the Nielsen’s β-function, we prove that the generalized Wallis’ cosine formula is logarithmically completely monotonic,...
Open access
Research Article10.9734/ARJOM/2017/36699
By applying the classical Holder's inequality, Young's inequality, Minkowski's inequality and some other analytical tools, we establish some inequalities involving the Chaudhry-Zubair extension of the gamma function. The established results serve as generalizations of some known...
Open access
Research Article10.9734/arjom/2019/v14i130117
This paper presents some new inequalities on Fractional calculus in the context of q-calculus. Fractional calculus generalizes the integer order differentiation and integration to derivatives and integrals of arbitrary order. In other words, Fractional calculus explores integrals...
Open access
Research Article10.9734/arjom/2019/v15i230144