Mathematics
(Aug 2023)
Generalized Taylor’s Formula and Steffensen’s Inequality
Asfand Fahad,
Saad Ihsaan Butt,
Josip Pečarić,
Marjan Praljak
Affiliations
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
DOI
https://doi.org/10.3390/math11163570
Journal volume & issue
Vol. 11,
no. 16
Abstract
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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.
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