The theory of time scales was introduced by Hilger [1] in his Ph.D. thesis in 1988 in order to unify continuous and discrete analysis. Recently, many authors have extended some fundamental integral inequalities used in the theory of differential and integral equations on time scales. For example, we refer the reader to the literatures [2–8] and the references cited therein. In this paper, we in...

We give a generalization of a one-dimensional Carlson type inequality due to G.S. Yang and J.-C. Fang and a generalization of a multidimensional type inequality due to L. Larsson. We point out the strong and weak parts of each result.

In this paper, several interesting integral inequalities are presented and some open problems are proposed later on.

Some recent and classical integral inequalities are extended to the general timescale calculus, including the inequalities of Steffensen, Iyengar, Čebyšev, and Hermite-Hadamard.

In the present paper several q−integral inequalities are presented, some of them are new and others are generalizations of known results.

We consider the Steffensen–Hayashi inequality and remainder identity for V-fractional differentiable functions involving six parameters truncated Mittag–Leffler function Gamma function. In view of these, we obtain some integral inequalities Steffensen, Hermite–Hadamard, Chebyshev, Ostrowski, Grüss type to calculus.