<abstract xmlns="http://www.w3.org/1999/xhtml"><p>Using two-point Abel-Gontscharoff interpolating polynomial some new generalizations of Steffensen’s inequality for <italic>n−</italic>convex functions are obtained and some Ostrowski-type inequalities related to obtained generalizations are given. Furthermore, using the Čebyšev functional some new bounds for the remainder in obtained generalizations are proven and related Grüss-type inequalities are given.</p></abstract>

Using two-point Abel-Gontscharoff interpolating polynomial some new generalizations of Steffensen’s inequality for n−convex functions are obtained and some Ostrowski-type inequalities related to obtained generalizations are given. Furthermore, using the Čebyšev functional some new bounds for the remainder in obtained generalizations are proven and related Grüss-type inequalities are given.

Generalizations of Steffensen’s inequality via two-point Abel-Gontscharoff polynomial

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Using two-point Abel-Gontscharoff interpolating polynomial some new generalizations of Steffensen’s inequality for n−convex functions are obtained and some...

Generalizations of Steffensen’s inequality via two-point Abel-Gontscharoff polynomial

Publié en ligne: 26 sept. 2019

Pages: 121 - 137

DOI: https://doi.org/10.2478/auom-2019-0023

Mots clés
Steffensen’s inequality, generalizations, -convex functions, Abel-Gontscharoff polynomial, Ostrowski-type inequality, Grüss-type inequality

© 2019 Josip Pečarić et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Generalizations of Steffensen’s inequality via two-point Abel-Gontscharoff polynomial

Publié en ligne: 26 sept. 2019

Pages: 121 - 137

DOI: https://doi.org/10.2478/auom-2019-0023

Mots clésSteffensen’s inequality, generalizations, -convex functions, Abel-Gontscharoff polynomial, Ostrowski-type inequality, Grüss-type inequality

© 2019 Josip Pečarić et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Mots clés
Steffensen’s inequality, generalizations, -convex functions, Abel-Gontscharoff polynomial, Ostrowski-type inequality, Grüss-type inequality