Some extensions of Ostrowski type inequalities for q-symmetric integrals involving h-convex functions

Nosheen A., Khan K. A., Ijaz S., Budak H.

FILOMAT, cilt.38, sa.33, ss.11951-11967, 2024 (SCI-Expanded, Scopus) identifier identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 38 Sayı: 33
  • Basım Tarihi: 2024
  • Doi Numarası: 10.2298/fil2433951n
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.11951-11967
  • Kocaeli Üniversitesi Adresli: Hayır

Özet

This article presents the Ostrowski type inequalities for h-convex functions in the context of quantum variational calculus using the Montogmery identity involving q-symmetric integrals. Additionally, Holder's and Power mean inequalities involving q-symmetric integral are powerful tools to prove the results. Certain novel Ostrowski type inequalities for P-convex function, s-convex function, Godunova levin function, and s-Godunova Levin function are established, which are special instances of inequalities found for h-convex functions. Some examples are also provided along with graphical illusions to demonstrate the validity of the new discoveries. Our findings are regarded as generalizations of some known inequities from the literature.