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On some new nonlinear discrete inequalities and their applications. (English) Zbl 1128.26015

This paper is a slight extension of a previous work done by F. W. Meng and W. N. Li [J. Comput. Appl. Math. 158, No. 2, 407–417 (2003; Zbl 1032.26019)]. The main ingredients are the same: a special case of Young’s inequality and a one-variable-discrete-analogue of Gronwall’s lemma. The results obtained represent two-variables-discrete-analogues of the aforementioned lemma for certain finite difference inequalities.

MSC:

26D15 Inequalities for sums, series and integrals
39B72 Systems of functional equations and inequalities

Citations:

Zbl 1032.26019
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References:

[1] Meng, F. W.; Li, W. N., On some new nonlinear discrete inequalities and their applications, J. Comput. Appl. Math., 158, 407-417 (2003) · Zbl 1032.26019
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