## Some inequalities for weighted area balance via functions of bounded variation.(English)Zbl 1440.26019

Summary: We first define weighted area balance function. Then we prove two identities for the integrable functions involving weighted area balance. Moreover, using these equalities, we obtain some inequalities for mappings of bounded variation and for Lipschitzian functions, respectively.

### MSC:

 26D15 Inequalities for sums, series and integrals 26A45 Functions of bounded variation, generalizations 26D10 Inequalities involving derivatives and differential and integral operators
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### References:

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