On Hermite–Hadamard-Type Inequalities for Coordinated Convex Mappings Utilizing Generalized Fractional Integrals

BUDAK H., Agarwal P.

International Conference on Fractional Differentiation and its Applications, ICFDA 2018, Amman, Ürdün, 16 - 18 Temmuz 2018, cilt.303, ss.227-249, (Tam Metin Bildiri) identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 303
  • Doi Numarası: 10.1007/978-981-15-0430-3_13
  • Basıldığı Şehir: Amman
  • Basıldığı Ülke: Ürdün
  • Sayfa Sayıları: ss.227-249
  • Anahtar Kelimeler: Coordinated convex, Generalized fractional integral, Hermite–Hadamard’s inequalities, Integral inequalities
  • Kocaeli Üniversitesi Adresli: Evet

Özet

In this chapter, we obtain the Hermite–Hadamard-type inequalities for coordinated convex function via generalized fractional integrals, which generalize some important fractional integrals such as the Riemann–Liouville fractional integrals, the Hadamard fractional integrals, and Katugampola fractional integrals. The results given in this chapter provide a generalization of several inequalities obtained in earlier studies.