Several integral inequalities for (alpha, s, m) -convex functions

Ozdemir M. E., Butt S., BAYRAKTAR B., Nasir J.

AIMS MATHEMATICS, cilt.5, sa.4, ss.3906-3921, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 5 Sayı: 4
  • Basım Tarihi: 2020
  • Doi Numarası: 10.3934/math.2020253
  • Dergi Adı: AIMS MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.3906-3921
  • Anahtar Kelimeler: convex function, (alpha, s, m)-convex function, Hermite-Hadamard inequality, Riemann-Liouville fractional integrals, Holder's inequality, power mean inequality, Psi-Gamma functions, HERMITE-HADAMARD-TYPE, M)-CONVEX, (ALPHA, (S
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

In this paper, we establish several new integral inequalities for (alpha, s, m)-convex functions. We recapture the Hermite-Hadamard inequality as a particular case. In order to obtain our results, we use classical inequalities such as Holder inequality, Holder-Iscan inequality and Power mean inequality. We formulate several bounds involving special functions like classical Euler-Gamma, Beta and Psi-Gamma functions. We also give some applications.