Inequalities for the Riemann–Stieltjes Integral of under the Chord Functions with Applications
We say that the function is under the chord if for any . In this paper we proved amongst other that provided that is monotonic nondecreasing and is continuous and under the chord. Some particular cases for the weighted integrals in connection with the Fejér inequalities are provided. Applications for continuous functions of selfadjoint operators on Hilbert spaces are also given.