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Some results for isotonic functionals via an inequality due to Kittaneh and Manasrah

Dragomir S. S.

Fasciculi Mathematici

2017

Nr 59

30--42

In this paper we obtain some inequalities for isotonic functionals via a reverse and refinement of Young’s inequality due to Kittaneh and Manasrah.

Some nonlinear delay discrete inequalities and their applications

Li W., Zhang Q., Qiu F.

Demonstratio Mathematica

2006

Vol. 39, nr 4

771-782

In this paper, we establish some nonlinear delay discrete inequalities which provide explicit bounds on unknown functions. The inequalities given here can be used as tools in the qualitative theory of certain delay difference equations.

Inequalities applicable to certain partial finite sum-difference equation

Pachpatte B.

Demonstratio Mathematica

2005

Vol. 38, nr 2

291--302

The aim of this paper is to establish explicit bounds on certain discrete inequalities in two independent variables involving iterated sums, which can be used to study the qualitative behavior of solutions of some classes of partial finite sum-difference equations. Applications are also given to illustrate the usefulness of one of our results.

Discrete inequalities in three independent variables

Pachpatte B.

Demonstratio Mathematica

1998

Vol. 31, nr 4

849-854