Quantum Montgomery identity and quantum estimates of Ostrowski type inequalities

KUNT M., Kashuri A., Du T., Baidar A. W.

AIMS MATHEMATICS, cilt.5, sa.6, ss.5439-5457, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 5 Sayı: 6
  • Basım Tarihi: 2020
  • Doi Numarası: 10.3934/math.2020349
  • Dergi Adı: AIMS MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.5439-5457
  • Anahtar Kelimeler: convex functions, quantum differentiable, quantum integrable, Ostrowski type inequality, MIDPOINT TYPE INEQUALITIES, HERMITE-HADAMARD INEQUALITIES, INTEGRAL-INEQUALITIES, CONVEX FUNCTIONS, GRUSS TYPE
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

In this paper, the new version of the celebrated Montgomery identity is determined via quantum integral operators. By using it, certain quantum integral inequalities of Ostrowski type are established. Moreover, the relevant connection of the obtained results of this work with the derived results in previously published works is discussed.