Rocky Mountain Journal of Mathematics

Some inequalities for weighted area balance via functions of bounded variation

Hüseyin Budak and Ebru Pehlivan

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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

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

Keywords
function of bounded variation Riemann–Stieltjes integrals area balance

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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References

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