Generalized reversed Jensen-Steffensen and related inequalities

Authors

  • F. Rubab Institute of Business Management, Korangi Creek, Karachi-75190, Sindh, Pakistan https://orcid.org/0000-0003-3137-5561
  • A.R. Khan University of Karachi, University Road, Karachi-75270, Pakistan
https://doi.org/10.15330/cmp.16.2.367-378

Keywords:

Jensen-Mercer inequality, Jensen-Steffensen inequality
Published online: 2024-07-14

Abstract

We compare two linear functionals that are negative on convex functions. Further, using Green's functions we give some new conditions for reversed Jensen-Steffensen and related inequalities to hold. Using Green's function we also give refinement of Levinson type generalization of reversed Jensen-Steffensen and related inequalities. The acquired results are then used for constructing mean-value theorems.

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How to Cite
(1)
Rubab, F.; Khan, A. Generalized Reversed Jensen-Steffensen and Related Inequalities. Carpathian Math. Publ. 2024, 16, 367-378.