TY - JOUR
T1 - TRAPEZIUM-LIKE INEQUALITIES INVOLVING K-TH ORDER DIFFERENTIABLE RΓ-CONVEX FUNCTIONS AND APPLICATIONS
AU - Vivas-Cortez, Miguel
AU - Awan, Muhammad Uzair
AU - Talib, Sadia
AU - Noor, Muhammad Aslam
AU - Noor, Khalida Inayat
N1 - Publisher Copyright:
© 2022 by the authors. Licensee MDPI, Basel, Switzerland.
PY - 2022/2/23
Y1 - 2022/2/23
N2 - We introduce the class of Rγ-convex functions and discuss that it relates to some other classes of convexity. We study the class of Rγ-convex functions in the perspective of trapezium-like inequalities, for which we also derive a new integral identity involving a k-th order differentiable function. In order to show the significance of our results, we also discuss several special cases and offer some interesting applications.
AB - We introduce the class of Rγ-convex functions and discuss that it relates to some other classes of convexity. We study the class of Rγ-convex functions in the perspective of trapezium-like inequalities, for which we also derive a new integral identity involving a k-th order differentiable function. In order to show the significance of our results, we also discuss several special cases and offer some interesting applications.
KW - R-convex functions
KW - convex
KW - k-times differentiable
KW - means
KW - trapezium inequalities
UR - http://www.scopus.com/inward/record.url?scp=85127318469&partnerID=8YFLogxK
U2 - 10.3390/sym14030448
DO - 10.3390/sym14030448
M3 - Article
AN - SCOPUS:85127318469
SN - 2073-8994
VL - 14
JO - Symmetry
JF - Symmetry
IS - 3
M1 - 448
ER -