Discrete variants of Brunn–Minkowski 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 Discrete Poincaré-type Inequalities

Some discrete analogue of Poincaré-type integral inequalities involving many functions of many independent variables are established. These in turn can serve as generators of further interesting discrete inequalities. 2000 Mathematics Subject Classification. Primary 39A10, 39A12, 39B72.

Volterra Discrete Inequalities of Bernoulli Type

New discrete Halanay-type inequalities and applications

In this paper, we introduce some new discrete type Halanay inequalities which extend the existing results. On the basis of these inequalities, we discuss the global stability of discrete neural networks with time-varying delays. © 2012 Elsevier Ltd. All rights reserved.

Some Discrete Fractional Lyapunov–type Inequalities

In this work we obtain Lyapunov-type inequalities for two-point conjugate and rightfocal boundary value problems depending on discrete fractional operators Δα , 1 < α 2 .