Generalized Taylor’s Formula and Steffensen’s Inequality

Asfand Fahad, Saad Ihsaan Butt (), Josip Pečarić and Marjan Praljak
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Asfand Fahad: School of Mathematical Sciences, Zhejiang Normal University, Jinhua 321004, China
Saad Ihsaan Butt: Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Lahore 54000, Pakistan
Josip Pečarić: Croatian Academy of Sciences and Arts, 10000 Zagreb, Croatia
Marjan Praljak: Faculty of Food Technology and Biotechnology, University of Zagreb, 10000 Zagreb, Croatia

Mathematics, 2023, vol. 11, issue 16, 1-8

Abstract: New Steffensen-type inequalities are obtained by combining generalized Taylor expansions, Rabier and Pečarić extensions of Steffensen’s inequality and Faà di Bruno’s formula for higher order derivatives of the composition.

Keywords: Steffensen’s inequality; generalized Taylor’s formula; Faà di Bruno’s formula; Euler polynomial; convex functions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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