New Variants of Quantum Midpoint-Type Inequalities

Some new variants of interval-valued Gronwall type inequalities on time scales

By using an efficient partial order and concept of gH-differentiability oninterval-valued functions, we investigate some new variants of Gronwall typeinequalities on time scales, which provide explicit bounds on unknownfunctions. Our results not only unify and extend some continuousinequalities, but also in discrete case, all are new.

Some new Grüss type quantum integral inequalities on finite intervals

In this paper, we establish some new Grüss type quantum integral inequalities on finite intervals. Furthermore, some related quantum integral inequalities are also considered.

(m1,m2)-Convexity and Some New Hermite-Hadamard Type Inequalities

In this manuscript, a new class of extended (m1,m2)-convex and concave functions is introduced. After some properties of (m1,m2)-convex functions have been given, the inequalities obtained with Hölder and Hölder-İşcan and power-mean and improwed power-mean integral inequalities have been compared and it has been shown that the inequality with Hölder-İşcan inequality gives a better approach than...

New Poincaré-type inequalities

Article history: Received 18 June 2013 Accepted after revision 26 November 2013 Available online 20 December 2013 Presented by Philippe G. Ciarlet We present some Poincaré-type inequalities for quadratic matrix fields with applications e.g. in gradient plasticity or fluid dynamics. In particular, applications to the pseudostress– velocity formulation of the stationary Stokes problem and to infi...

Some New Hilbert’s Type Inequalities