New (α, β)-order pre-Gruss fractional integral inequalities and applications for CRV

Dahmani, ZoubirSarikaya, Mehmet Zeki2025-10-112025-10-1120250354-5180https://doi.org/10.2298/FIL2510315Dhttps://hdl.handle.net/20.500.12684/21629In this paper, we employ Riemann-Liouville fractional integrals to derive two primary integral findings concerning the alpha- pre-Gruss inequality and the (alpha, beta)- pre-Gruss inequality. Our results extend existing integral inequalities reported in the literature. Additionally, we discuss some applications of our results for continuous random variables (CRV, for short) with bounded probability density functions. Some new estimates are provided in this context, along with classical results obtained as special cases from our results.en10.2298/FIL2510315Dinfo:eu-repo/semantics/closedAccessintegral inequalitiesRiemann-Liouville integralpre Gruss inequalityNew (α, β)-order pre-Gruss fractional integral inequalities and applications for CRVArticle3910331533202-s2.0-105001403831WOS:001469410600009Q3Q2