## Rocky Mountain Journal of Mathematics

### Some inequalities for weighted area balance via functions of bounded variation

#### Abstract

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.

#### Article information

Source
Rocky Mountain J. Math., Volume 50, Number 2 (2020), 455-466.

Dates
Received: 25 July 2019
Revised: 2 November 2019
Accepted: 4 November 2019
First available in Project Euclid: 29 May 2020

Permanent link to this document
https://projecteuclid.org/euclid.rmjm/1590739282

Digital Object Identifier
doi:10.1216/rmj.2020.50.455

Mathematical Reviews number (MathSciNet)
MR4104386

Zentralblatt MATH identifier
07210971

#### Citation

Budak, Hüseyin; Pehlivan, Ebru. Some inequalities for weighted area balance via functions of bounded variation. Rocky Mountain J. Math. 50 (2020), no. 2, 455--466. doi:10.1216/rmj.2020.50.455. https://projecteuclid.org/euclid.rmjm/1590739282

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