Coordinated convex mapping approach to trapezoid type inequalities with generalized conformable integrals


Kiris M. E., Bayrak G.

FILOMAT, cilt.38, sa.33, ss.11969-11986, 2024 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 38 Sayı: 33
  • Basım Tarihi: 2024
  • Doi Numarası: 10.2298/fil2433969k
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.11969-11986
  • Hatay Mustafa Kemal Üniversitesi Adresli: Hayır

Özet

In this study, some new trapezoid type inequalities are generalized for convex functions in coordinates by means of generalized conformable fractional integrals. For functions with convex absolute values of their partial derivatives, some new trapezoid type inequalities are obtained using the well-known Holder and Power mean inequalities. In addition, some findings of this study include some results based on Riemann Liouville fractional integrals and Riemann integral.