Document Type : Research Paper

Authors

• Miguel Vivas Cortez ¹
• Muhammad Shoaib Saleema ²
• Sana Sajid ²

¹ Faculty of Exact and Natural Sciences, School of Physical Sciences and Mathematics, Pontifical Catholic University of Ecuador, Av. 12 de octubre 1076 y Roca, Apartado Postal 17-01-2184, Sede Quito, Ecuador

² Department of Mathematics, University of Okara

Abstract

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 H¨older integral inequality. The results given in this present paper are
generalizations of already existing results in the literature.

Keywords

• Mean square integral inequalities
• Convex stochastic process
• η-convex stochastic process
• Preinvex stochastic process
• Beta function