New Ostrowski Type Inequalities for Trigonometrically Convex Functions Via Classical Integrals

Demir Ş., Maden S.

GAZI UNIVERSITY JOURNAL OF SCIENCE, cilt.0, sa.0, 2022 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 0 Sayı: 0
  • Basım Tarihi: 2022
  • Doi Numarası: 10.35378/gujs.934699
  • Dergi Adı: GAZI UNIVERSITY JOURNAL OF SCIENCE
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, Aerospace Database, Aquatic Science & Fisheries Abstracts (ASFA), Communication Abstracts, Compendex, Metadex, Civil Engineering Abstracts, TR DİZİN (ULAKBİM)
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

In the paper, we introduce the class of trigonometrically convex functions and using the Holder, Holder-Iscan, Power-mean and Improved power-mean integral inequality together with an identity we establish some new inequalities of Ostrowski-type for functions whose second derivatives are trigonometrically convex which is a special case of h -convex functions. Some applications for special means are also given.