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

Budak H.

UKRAINIAN MATHEMATICAL JOURNAL, vol.72, no.12, pp.1872-1885, 2021 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 72 Issue: 12
  • Publication Date: 2021
  • Doi Number: 10.1007/s11253-021-01895-1
  • Journal Name: UKRAINIAN MATHEMATICAL JOURNAL
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
  • Page Numbers: pp.1872-1885
  • Kocaeli University Affiliated: No

Abstract

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.