SOME INEQUALITIES FOR WEIGHTED AREA BALANCE VIA FUNCTIONS OF BOUNDED VARIATION


Budak H., Pehlivan E.

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, cilt.50, sa.2, ss.455-466, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 50 Sayı: 2
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1216/rmj.2020.50.455
  • Dergi Adı: ROCKY MOUNTAIN JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, DIALNET
  • Sayfa Sayıları: ss.455-466
  • Kocaeli Üniversitesi Adresli: Hayır

Özet

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.