TY - JOUR

T1 - Hermite-hadamard type mean square integral inequalities for stochastic processes whose twice mean square derivative are generalized η-convex.

AU - Vivas-Cortez, Miguel

AU - Kashuri, Artion

AU - García, Carlos

AU - Hernández, Jorge E.Hernández

N1 - Publisher Copyright:
© 2020 NSP.

PY - 2020/5/1

Y1 - 2020/5/1

N2 - In the present work, a new concept of generalized convexity (i.e. generalized η-convexity) is established and applied to stochastic process. Using the aforementioned concept, some new Hermite-Hadamard type inequalities for stochastic processes are found. From these results, some other inequalities for convex stochastic processes and s-convex stochastic processes in the first sense are deduced. Some Lemmas are introduced and the classical Holder and power mean inequalities are used as tools for the development of the main results.

AB - In the present work, a new concept of generalized convexity (i.e. generalized η-convexity) is established and applied to stochastic process. Using the aforementioned concept, some new Hermite-Hadamard type inequalities for stochastic processes are found. From these results, some other inequalities for convex stochastic processes and s-convex stochastic processes in the first sense are deduced. Some Lemmas are introduced and the classical Holder and power mean inequalities are used as tools for the development of the main results.

KW - Generalized η-convex stochastic processes

KW - Hermite-hadamard inequality

KW - Mean square integral inequalities

UR - http://www.scopus.com/inward/record.url?scp=85086322249&partnerID=8YFLogxK

U2 - 10.18576/AMIS/140317

DO - 10.18576/AMIS/140317

M3 - Article

AN - SCOPUS:85086322249

SN - 1935-0090

VL - 14

SP - 493

EP - 502

JO - Applied Mathematics and Information Sciences

JF - Applied Mathematics and Information Sciences

IS - 3

ER -