Abstract:
A general inequality for sourcewise representable functions is proved which contains a class of inequalities for monotonic functions and, in particular, Steffensen's inequality.
Citation:
E. K. Godunova, V. I. Levin, “A general class of inequalities containing Steffensen's inequality”, Mat. Zametki, 3:3 (1968), 339–344; Math. Notes, 3:3 (1968), 214–217
This publication is cited in the following 3 articles:
Necmettin Alp, “On Reverse and Generalized of Bellman Type Inequality”, Afyon Kocatepe University Journal of Sciences and Engineering, 24:3 (2024), 567
I. V. Denisov, “Puti razvitiya matematicheskogo analiza v Tulskom gosudarstvennom pedagogicheskom universitete imeni L. N. Tolstogo (k 70-letiyu obrazovaniya kafedry matematicheskogo analiza)”, Chebyshevskii sb., 22:5 (2021), 270–306
R. Kh. Sadikova, “A general class of inequalities with mixed means”, Math. Notes, 61:6 (1997), 724–730