A new inequality is presented, which is used to obtain a complement of recently obtained inequality concerning the difference of two integral means. Some applications for pdfs are also given.

An approximation of the Stieltjes integral of bounded integrals and continuous integrators via the Darst-Pollard inequality is given. Applications for the generalised trapezoid formula and the Ostrowski inequality for functions of bounded variation are also provided.

In this paper, we give several new refinements of generalized Aczél’s inequality. Moreover, as applications, some new refinements of integral form of generalized Aczél-type inequality are given. Mathematics subject classification (2010): Primary 26D15; Secondary 26D10.

In this paper, we prove the sharp function inequality for the multilinear commutator related to the singular integral operator with variable Calderón-Zygmund kernel. By using the sharp inequality, we obtain the Lnorm inequality for the multilinear commutator. 2000 Mathematics Subject Classification: 42B20, 42B25.

In this paper, by introducing some parameters and by employing a sharpening of Hölder’s inequality, a new generalization of Hardy-Hilbert integral inequality involving the Beta function is established. At the same time, an extension of Widder’s theorem is given.

Some new reverses of the Cauchy-Bunyakovsky-Schwarz integral inequality for vector-valued functions in Hilbert spaces that complement the recent results obtained in [1] are given. Applications for the Heisenberg inequality are provided.

In this paper, we introduce and investigate a new class of meromorphic functions defined by a differential operator. For this class, we obtain coefficient inequality, distortion inequality, radius of close-to-convex, starlikeness and convexity, extreme points and integral means inequality.

We establish Ostrowski type integral inequalities involving moments of a continuous random variable defined on a finite interval. We also derive bounds for moments from these inequalities. Further, we discuss applications of these bounds to the Euler’s beta mappings and illustrate their behaviour. c © 2005 Elsevier Science Ltd. All rights reserved. Keywords—Ostrowski’s inequality, Grüss inequal...

In this paper, we obtain Jensen’s inequality for GG-convex functions. Also, we get in- equalities alike to Hermite-Hadamard inequality for GG-convex functions. Some examples are given.