TY - JOUR
T1 - Tempered Fractional Trapezium Inequalities
AU - Vivas-Cortez, Miguel
AU - Awan, Muhammad Uzair
AU - Ullah, Muhammad Ubaid
AU - Talib, Sadia
AU - Noor, Muhammad Aslam
AU - Noor, Khalida Inayat
N1 - Publisher Copyright:
© 2022 by the authors. Licensee MDPI, Basel, Switzerland.
PY - 2022/11/8
Y1 - 2022/11/8
N2 - The main objective of this paper is to derive some new fractional analogs of trapeziumlike inequalities essentially using the class of preinvex functions and the concepts of tempered fractional integrals. We discuss some special cases that show that our results are unifying. In order to demonstrate the significance of our results, we present some applications to means. To check the validity of our results, we also give some numerical examples.
AB - The main objective of this paper is to derive some new fractional analogs of trapeziumlike inequalities essentially using the class of preinvex functions and the concepts of tempered fractional integrals. We discuss some special cases that show that our results are unifying. In order to demonstrate the significance of our results, we present some applications to means. To check the validity of our results, we also give some numerical examples.
KW - fractional
KW - functions
KW - preinvex
KW - tempered
KW - trapezium
UR - http://www.scopus.com/inward/record.url?scp=85147653924&partnerID=8YFLogxK
U2 - 10.3390/axioms11110624
DO - 10.3390/axioms11110624
M3 - Article
AN - SCOPUS:85147653924
SN - 2075-1680
VL - 11
JO - Axioms
JF - Axioms
IS - 11
M1 - 624
ER -