Montgomery identity and Ostrowski-type inequalities via quantum calculus

Sitthiwirattham T., Ali M. A., Budak H., Abbas M., Chasreechai S.

OPEN MATHEMATICS, cilt.19, sa.1, ss.1098-1109, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 19 Sayı: 1
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1515/math-2021-0088
  • Dergi Adı: OPEN MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, Directory of Open Access Journals
  • Sayfa Sayıları: ss.1098-1109
  • Kocaeli Üniversitesi Adresli: Hayır

Özet

In this paper, we prove a quantum version of Montgomery identity and prove some new Ostrowski-type inequalities for convex functions in the setting of quantum calculus. Moreover, we discuss several special cases of newly established inequalities and obtain different new and existing inequalities in the field of integral inequalities.