In this paper, we establish different variants of fractional Hermite-Hadamard inequalities for subadditive functions via Riemann-Liouville integrals. Moreover, offer some integral the product two It is also shown that offered in research are generalization already given convex and functions.

In this paper, we prove the generalized Hyers-Ulam-Rassias stability of the generalized radical cubic functional equation[    fleft( sqrt[3]{ax^3 + by^3}right)=af(x) + bf(y),]    where $a,b in mathbb{R}_+$ are fixed positive real numbers, by using direct method in quasi-$beta$-Banach spaces. Moreover, we use subadditive functions to investigate stability of the generaliz...

Abstract For a subshift $(X, \sigma _{X})$ and subadditive sequence ${\mathcal F}=\{\log f_{n}\}_{n=1}^{\infty }$ on X , we study equivalent conditions for the existence of $h\in C(X)$ such that $\lim _{n\rightarrow \infty }(1/{n})\int \log f_{n}\, d\kern-1pt\mu =\int h \,d\kern-1pt\mu $ every invariant measure $\mu . this purpose, first necessary sufficient F}$ to be an asymptotically additive...