Generalized Steffensen’s inequality by Lidstone interpolation and Montogomery’s identity
Asfand Fahad, Josip Pečarić, Muhammad Imran Qureshi
Journal of Inequalities and Applications · 2018
doi:10.1186/s13660-018-1826-4 (opens in a new tab)
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Abstract
Abstract 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.
Abstract licence: CC BY-NC-ND
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