New inequalities of hermite-hadamard type for functions whose second derivatives absolute values are exponential trigonometric convex

Demir Ş.

SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES, cilt.41, sa.3, ss.451-456, 2022 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 41 Sayı: 3
  • Basım Tarihi: 2022
  • Doi Numarası: 10.14744/sigma.2021.00072
  • Dergi Adı: SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, Directory of Open Access Journals
  • Sayfa Sayıları: ss.451-456
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

In this paper, a new class of convex functions, which is called exponential trigonometric con-vex functions is studied. We obtain some refinements of the Hermite-Hadamard type inequal-ities via functions whose second derivatives in absolute value at certain power are exponential trigonometric convex functions. The results of the research by the means of Holder-Iscan and improved-power-mean integral inequalities.