Post-quantum trapezoid type inequalities

Latif, Muhammad; Kunt, MEHMET; Dragomir, Sever; Iscan, Imdat

doi:10.3934/math.2020258

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, Scopus)

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.