TY - JOUR
T1 - Some mean square integral inequalities for preinvexity involving the beta function
AU - Saleem, Muhammad Shoaib
AU - Vivas-Cortez, Miguel
AU - Sajid, Sana
N1 - Publisher Copyright:
© 2021, Semnan University, Center of Excellence in Nonlinear Analysis and Applications. All rights reserved.
PY - 2021
Y1 - 2021
N2 - In the present research, we will deal with mean square integral inequalities for preinvex stochastic process and η-convex stochastic process in setting of beta function. Further, we will present some novel results for improved Hölder integral inequality. The results given in this present paper are generalizations of already existing results in the literature.
AB - In the present research, we will deal with mean square integral inequalities for preinvex stochastic process and η-convex stochastic process in setting of beta function. Further, we will present some novel results for improved Hölder integral inequality. The results given in this present paper are generalizations of already existing results in the literature.
KW - Beta function
KW - Convex stochastic process
KW - Mean square integral inequalities
KW - Preinvex stochastic process
KW - η-convex stochastic process
UR - http://www.scopus.com/inward/record.url?scp=85117091367&partnerID=8YFLogxK
U2 - 10.22075/IJNAA.2021.24241.2701
DO - 10.22075/IJNAA.2021.24241.2701
M3 - Article
AN - SCOPUS:85117091367
SN - 2008-6822
VL - 12
SP - 617
EP - 632
JO - International Journal of Nonlinear Analysis and Applications
JF - International Journal of Nonlinear Analysis and Applications
IS - Special Issue
ER -