TY - JOUR
T1 - New ostrowski type inequalities for coordinated (s,m)-convex functions in the second sense
AU - Vivas-cortez, Miguel J.
AU - García, Carlos
AU - Kashuri, Artion
AU - Hernández, Jorge E.Hernández
N1 - Publisher Copyright:
© 2019 NSP Natural Sciences Publishing Cor.
PY - 2019
Y1 - 2019
N2 - In the present work we introduce the class of (s,m)-convex functions on the coordinates and some new Ostrowski-type inequalities are deduced for this kind of generalized convex functions. The results obtained have the absolute value of the second partial derivative with respect to the coordinates (∂2f /∂r∂t) in the aforementioned class and bounded, as a necessary condition. This generalizes the results for convex functions of [10]. Also, some corollary is presented.
AB - In the present work we introduce the class of (s,m)-convex functions on the coordinates and some new Ostrowski-type inequalities are deduced for this kind of generalized convex functions. The results obtained have the absolute value of the second partial derivative with respect to the coordinates (∂2f /∂r∂t) in the aforementioned class and bounded, as a necessary condition. This generalizes the results for convex functions of [10]. Also, some corollary is presented.
KW - (s,m)-convexity in the second sense
KW - Generalized convexity
KW - Ostrowski inequality for coordinates
UR - http://www.scopus.com/inward/record.url?scp=85077618852&partnerID=8YFLogxK
U2 - 10.18576/amis/130516
DO - 10.18576/amis/130516
M3 - Article
AN - SCOPUS:85077618852
SN - 1935-0090
VL - 13
SP - 821
EP - 829
JO - Applied Mathematics and Information Sciences
JF - Applied Mathematics and Information Sciences
IS - 5
ER -