Pathology and Oncology Research.
Kluwer Academic Publishers.
2018.
Generalized Steffensen’s inequality by Lidstone interpolation and Montogomery’s identity
By using a Lidstone interpolation, Green’s function and Montogomery’s identity, we prove a new generalization of Steffensen’s inequality. Some related inequalities providing generalizations of certain results given in (J. Math. Inequal. 9(2):481–487, 2015) have also been obtained. Moreover, from these inequalities, we formulate linear functionals and describe their properties. © 2018, The Author(s).
Authors
Fahad A.1
,
Pečarić J.
2,
3
,
Imran Qureshi M.
Publisher
Springer International Publishing
Language
English
Status
Published
Link
Number
237
Volume
2018
Year
2018
Organizations
- 1 Department of Mathematics, COMSATS University Islamabad, Vehari Campus, Pakistan
- 2 Faculty of Textile Technology, University of Zagreb, Zagreb, Croatia
- 3 RUDN University, Moscow, Russian Federation
Keywords
(n+ 1 ) -convex function at a point; Green’s function; Montogomery’s identity; Steffensen’s inequality
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Mathematical Inequalities and Applications.
Element D.O.O..
Vol. 21.
2018.
P. 201-215