Steffensen’s Inequality

1993 ◽  
pp. 311-332
Author(s):  
D. S. Mitrinović ◽  
J. E. Pečarić ◽  
A. M. Fink
Keyword(s):  
Steffensen’S Inequality

scholarly journals Generalizations of Steffensen’s inequality by Lidstone’s polynomial and related results

2019 ◽  
Vol 43 (3) ◽  
pp. 293-307
Author(s):  
Josip Pečarić ◽  
Anamarija Perušić Pribanić ◽  
Ana Vukelić
Keyword(s):  
Steffensen’S Inequality

scholarly journals On an extension of Hölder's inequality

1995 ◽  
Vol 51 (3) ◽  
pp. 453-458 ◽  
Author(s):  
C.E.M. Pearce ◽  
J. Peĉarić
Keyword(s):  
Hölder’S Inequality ◽  
Hölder's Inequality ◽  
Steffensen’S Inequality

An new extension of Hölder's inequality is derived. This is shown to follow from a generalisation of Steffensen's inequality.

scholarly journals Generalized Steffensen’s inequality by Montgomery identity

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Saad Ihsan Butt ◽  
Asfand Fahad ◽  
Adil Naseer ◽  
Josip Pečarić
Keyword(s):  
Montgomery Identity ◽  
Steffensen’S Inequality

Refinement of Steffensen's inequality for superquadratic functions

2014 ◽  
Vol 8 ◽  
pp. 611-617
Author(s):  
Mohammed Muniru Iddrisu ◽  
Christopher A. Okpoti ◽  
Kazeem A. Gbolagade
Keyword(s):  
Steffensen’S Inequality ◽  
Superquadratic Functions

scholarly journals Generalizations of Steffensen’s inequality via some Euler-type identities

2016 ◽  
Vol 8 (1) ◽  
pp. 103-126
Author(s):  
Josip Pečarić ◽  
Anamarija Perušić Pribanić ◽  
Ksenija Smoljak Kalamir
Keyword(s):  
Convex Functions ◽  
First Derivative ◽  
Steffensen’S Inequality ◽  
Čebyšev Functional

Abstract Using Euler-type identities some new generalizations of Steffensen’s inequality for n–convex functions are obtained. Moreover, the Ostrowski-type inequalities related to obtained generalizations are given. Furthermore, using inequalities for the Čebyšev functional in terms of the first derivative some new bounds for the remainder in identities related to generalizations of Steffensen’s inequality are proven.

scholarly journals Generalizations of Steffensen’s inequality via Taylor’s formula

2015 ◽  
Vol 2015 (1) ◽  
Author(s):  
Josip Pečarić ◽  
Anamarija Perušić Pribanić ◽  
Ksenija Smoljak Kalamir
Keyword(s):  
Taylor’S Formula ◽  
Steffensen’S Inequality ◽  
Taylor's Formula
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