TY - JOUR
T1 - Ostrowski and Jensen-type inequalities via (s, m)-convex functions in the second sense
T2 - Ostrowski and Jensen-type inequalities and generalized convexity
AU - Vivas-Cortez, Miguel José
AU - Hernández Hernández, Jorge Eliecer
N1 - Publisher Copyright:
© 2020, Sociedad Matemática Mexicana.
PY - 2020/7/1
Y1 - 2020/7/1
N2 - In this work, a generalization of the classical Ostrowski inequality is obtained for functions, whose first derivative are (s, m)-convex in the second sense, and in a similar form, an integral inequality of Jensen type for (s, m)-convex functions in the second sense is also given.
AB - In this work, a generalization of the classical Ostrowski inequality is obtained for functions, whose first derivative are (s, m)-convex in the second sense, and in a similar form, an integral inequality of Jensen type for (s, m)-convex functions in the second sense is also given.
KW - (s, m)-convex function
KW - Convex function
KW - Jensen integral inequality
KW - Ostrowski inequality
UR - http://www.scopus.com/inward/record.url?scp=85077563688&partnerID=8YFLogxK
U2 - 10.1007/s40590-019-00273-z
DO - 10.1007/s40590-019-00273-z
M3 - Article
AN - SCOPUS:85077563688
SN - 1405-213X
VL - 26
SP - 287
EP - 302
JO - Boletin de la Sociedad Matematica Mexicana
JF - Boletin de la Sociedad Matematica Mexicana
IS - 2
ER -