In this paper we derive new weighted Ostrowski and Ostrowski-Grüss type inequalities on time scales. Some other interesting inequalities on time scales are also given as special cases.

Abstract In this paper, with the help of Green’s function and Hermite interpolating polynomial, an extension Jensen’s functional for n -convex functions is deduced from inequality involving diamond integrals. Special conditions, including Taylor two point formula Lagrange’s interpolation, are also deployed to find further extensions functional. This paper includes discussion on bounds Grüss ine...