TY - JOUR
T1 - Some new q-integral inequalities using generalized quantum montgomery identity via preinvex functions
AU - Vivas-Cortez, Miguel
AU - Kashuri, Artion
AU - Liko, Rozana
AU - Hernández, Jorge E.Hernández
N1 - Publisher Copyright:
© 2020 by the authors.
PY - 2020/4/4
Y1 - 2020/4/4
N2 - In this work the authors establish a new generalized version of Montgomery's identity in the setting of quantum calculus. From this result, some new estimates of Ostrowski type inequalities are given using preinvex functions. Given the generality of preinvex functions, particular q-integral inequalities are established with appropriate choice of the parametric bifunction. Some new special cases from the main results are obtained and some known results are recaptured as well. At the end, a briefly conclusion is given.
AB - In this work the authors establish a new generalized version of Montgomery's identity in the setting of quantum calculus. From this result, some new estimates of Ostrowski type inequalities are given using preinvex functions. Given the generality of preinvex functions, particular q-integral inequalities are established with appropriate choice of the parametric bifunction. Some new special cases from the main results are obtained and some known results are recaptured as well. At the end, a briefly conclusion is given.
KW - F-convex functions
KW - Integral inequalities
KW - Quantum montgomery identity
UR - http://www.scopus.com/inward/record.url?scp=85087082404&partnerID=8YFLogxK
U2 - 10.3390/SYM12040553
DO - 10.3390/SYM12040553
M3 - Article
AN - SCOPUS:85087082404
SN - 2073-8994
VL - 12
JO - Symmetry
JF - Symmetry
IS - 4
M1 - 553
ER -