New Generalized Trapezoid-Type Inequalities for Complex Functions Defined on the Unit Circle and their Applications

Budak H.

UKRAINIAN MATHEMATICAL JOURNAL, cilt.72, sa.12, ss.1872-1885, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 72 Sayı: 12
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1007/s11253-021-01895-1
  • Dergi Adı: UKRAINIAN MATHEMATICAL JOURNAL
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.1872-1885
  • Kocaeli Üniversitesi Adresli: Hayır

Özet

We establish new generalized trapezoid-type inequalities for complex functions defined on the unit circle via the functions of bounded variation and functions satisfying the Holder-type condition. These results are also used to deduce the quadrature-rule formula.