New generalizations of Steffensen's inequality by Lidstone's polynomial

DOI10.1007/S00010-023-00953-2OpenAlexW4366281040MaRDI QIDQ6130584

Ksenija Smoljak Kalamir, Anamarija Perušić Pribanić, Josip E. Pečarić

Publication date: 3 April 2024

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00010-023-00953-2

zbMATH Keywords

Green's functionSteffensen's inequalitygeneralizationsLidstone interpolating polynomialweighted Hermite-Hadamard inequality\((2n+2)\)-convex and \((2n+3)\)-convex functions

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51)

Cites Work

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• Refinements of the integral form of Jensen's and the Lah-Ribarič inequalities and applications for Csiszár divergence
• Representation of functions by Lidstone series
• On Certain Polynomial and Other Approximations to Analytic Functions
• On Lidstone's Series and Two-Point Expansions of Analytic Functions
• Generalizations of Steffensen’s inequality by Lidstone’s polynomial and related results
• On certain two-point expansions of integral functions of exponential type
• Functions Whose Even Derivatives Have a Prescribed Sign

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