Post-quantum trapezoid type inequalities

Latif M. A., Kunt M., Dragomir S. S., Iscan I.

AIMS MATHEMATICS, cilt.5, sa.4, ss.4011-4026, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 5 Sayı: 4
  • Basım Tarihi: 2020
  • Doi Numarası: 10.3934/math.2020258
  • Dergi Adı: AIMS MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.4011-4026
  • Anahtar Kelimeler: Hermite-Hadamard inequality, q-integral inequalities, (p, q)-integral inequalities, (p, q)-derivative, (p, q)-integration, convexity, quasi-convexity, MIDPOINT TYPE INEQUALITIES, INTEGRAL-INEQUALITIES, DIFFERENTIABLE MAPPINGS, CONVEX
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

In this study, the assumption of being differentiable for the convex function f in the (p, q)-Hermite-Hadamard inequality is removed. A new identity for the right-hand part of (p, q)-Hermite-Hadamard inequality is proved. By using established identity, some (p, q)-trapezoid integral inequalities for convex and quasi-convex functions are obtained. The presented results in this work extend some results from the earlier research.