Cerone's generalizations of Steffensen's inequality

In: Tatra Mountains Mathematical Publications, vol. 58, no. 1

Josip Pečarić - Anamarija Perušić - Ksenija Smoljak

Detaily:

Rok, strany: 2014, 53 - 75

Kľúčové slová:

Steffensen inequality, monotonic functions, weaker conditions, exponential convexity, Stolarsky type means.

O článku:

In this paper, generalizations of Steffensen's inequality with bounds involving any two subintervals motivated by Cerone's generalizations are given. Furthermore, weaker conditions for Cerone's generalization as well as for new generalizations obtained in this paper are given. Moreover, functionals defined as the difference between the left-hand and the right-hand side of these generalizations are studied and new Stolarsky type means related to them are obtained.

Ako citovať:

ISO 690:

Pečarić, J., Perušić, A., Smoljak, K. 2014. Cerone's generalizations of Steffensen's inequality. In Tatra Mountains Mathematical Publications, vol. 58, no.1, pp. 53-75. 1210-3195.

APA:

Pečarić, J., Perušić, A., Smoljak, K. (2014). Cerone's generalizations of Steffensen's inequality. Tatra Mountains Mathematical Publications, 58(1), 53-75. 1210-3195.