SOME INEQUALITIES FOR WEIGHTED AREA BALANCE VIA FUNCTIONS OF BOUNDED VARIATION

Budak H., Pehlivan E.

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, vol.50, no.2, pp.455-466, 2020 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 50 Issue: 2
  • Publication Date: 2020
  • Doi Number: 10.1216/rmj.2020.50.455
  • Journal Name: ROCKY MOUNTAIN JOURNAL OF MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, DIALNET
  • Page Numbers: pp.455-466
  • Kocaeli University Affiliated: No

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.