Perturbed trapezoid inequalities for n th order differentiable convex functions and their applications

Demir D. D., Şanal G.

AIMS Mathematics, cilt.5, sa.6, ss.5495-5509, 2020 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 5 Sayı: 6
  • Basım Tarihi: 2020
  • Doi Numarası: 10.3934/math.2020352
  • Dergi Adı: AIMS Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.5495-5509
  • Anahtar Kelimeler: Convex function, Perturbed trapezoid inequalities
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

In this study, we introduce a new general identity for n th order differentiable functions. Also, we establish some new inequalities regarding general perturbed trapezoid inequality for the functions whose the absolute values of n th derivatives are convex. Finally, some applications for special means are provided.