TY - JOUR
T1 - Some new post-quantum integral inequalities involving twice (P, q)-differentiable ψ-preinvex functions and applications
AU - Vivas-Cortez, Miguel
AU - Awan, Muhammad Uzair
AU - Talib, Sadia
AU - Kashuri, Artion
AU - Noor, Muhammad Aslam
N1 - Publisher Copyright:
© 2021 by the authors. Licensee MDPI, Basel, Switzerland.
PY - 2021/10/29
Y1 - 2021/10/29
N2 - The main motivation of this article is derive a new post-quantum integral identity using twice (p, q)-differentiable functions. Using the identity as an auxiliary result, we will obtain some new variants of Hermite–Hadamard’s inequality essentially via the class of ψ-preinvex functions. To support our results, we offer some applications to a special means of positive real numbers and twice (p, q)-differentiable functions that are in absolute value bounded as well.
AB - The main motivation of this article is derive a new post-quantum integral identity using twice (p, q)-differentiable functions. Using the identity as an auxiliary result, we will obtain some new variants of Hermite–Hadamard’s inequality essentially via the class of ψ-preinvex functions. To support our results, we offer some applications to a special means of positive real numbers and twice (p, q)-differentiable functions that are in absolute value bounded as well.
KW - Bounded functions
KW - Hermite–Hadamard inequality
KW - Hölder’s inequality
KW - Post-quantum calculus
KW - Power mean inequality
KW - Special means
KW - ψ-preinvex functions
UR - http://www.scopus.com/inward/record.url?scp=85119177855&partnerID=8YFLogxK
U2 - 10.3390/axioms10040283
DO - 10.3390/axioms10040283
M3 - Article
AN - SCOPUS:85119177855
SN - 2075-1680
VL - 10
JO - Axioms
JF - Axioms
IS - 4
M1 - 283
ER -