TY - JOUR
T1 - On φ–Convex Stochastic Processes and Integral Inequalities Related
AU - Vivas-Cortez, Miguel J.
AU - Kashuri, Artion
AU - Hernández, Jorge Eliecer Hernández
N1 - Publisher Copyright:
© 2020. NSP Natural Sciences Publishing Cor.
PY - 2020/11
Y1 - 2020/11
N2 - In this paper the concept of ϕ–convex stochastic process is introduced and certain algebraic properties are deduced. Also, some mean square integral inequalities of Hermite-Hadamard type are established. In addition, various mean square integral inequalities are investigated to find upper estimates using of the weighted arithmetic mean, the weighted power mean of order p and the logarithmic mean.
AB - In this paper the concept of ϕ–convex stochastic process is introduced and certain algebraic properties are deduced. Also, some mean square integral inequalities of Hermite-Hadamard type are established. In addition, various mean square integral inequalities are investigated to find upper estimates using of the weighted arithmetic mean, the weighted power mean of order p and the logarithmic mean.
KW - Mean square integral inequalities
KW - Stochastic processes
KW - ϕ–convexity
UR - http://www.scopus.com/inward/record.url?scp=85103127559&partnerID=8YFLogxK
U2 - 10.18576/amis/140601
DO - 10.18576/amis/140601
M3 - Article
AN - SCOPUS:85103127559
SN - 1935-0090
VL - 14
SP - 947
EP - 956
JO - Applied Mathematics and Information Sciences
JF - Applied Mathematics and Information Sciences
IS - 6
ER -