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Dynamic double integral inequalities in two independent variables on time scales. (English) Zbl 1170.26306
Summary: First, we establish some new nonlinear dynamic inequalities in two independent variables of Pachpatte type, thatmight be useful tools in the study of qualitative properties of solutions of certain classes of dynamic equations on time scales. These results extend recent inequalities for difference equations to the general time-scale setting. Then, after establishing a nabla Jensen’s inequality, we relate several inequalities of Hilbert-Pachpatte type that extend and unify recent continuous and discrete inequalities of this type.

MSC:
26D15 Inequalities for sums, series and integrals
26D20 Other analytical inequalities
39A12 Discrete version of topics in analysis
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