New Refinements and Applications of Ostrowski Type Inequalities for Mappings Whose nth Derivatives are of Bounded Variation

BUDAK H., Sarikaya M., Qayyum A.

Turkish World Mathematical Society Journal of Applied and Engineering Mathematics, cilt.11, sa.2, ss.424-435, 2021 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 11 Sayı: 2
  • Basım Tarihi: 2021
  • Dergi Adı: Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.424-435
  • Anahtar Kelimeler: Function of bounded variation, Ostrowski type inequalities, Riemann-Stieltjes integral
  • Kocaeli Üniversitesi Adresli: Evet

Özet

The main aim of this paper is to establish some Ostrowski type integral inequalities using a newly developed special type of kernel for mappings whose nth derivatives are of bounded variation. We deduce some previous results as a special case. Some new efficient quadrature rules are also introduced.