Jensen–Steffensen inequality for diamond integrals, its converse and improvements via Green function and Taylor’s formula

Jensen–Steffensen inequality for diamond integrals, its converse and improvements via Green... In this paper we define the Jensen–Steffensen inequality and its converse for diamond integrals. Then we give some improvements of these inequalities using Taylor’s formula and the Green function. We investigate bounds for the identities related to improvements of the Jensen–Steffensen inequality and its converse. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png aequationes mathematicae Springer Journals

Jensen–Steffensen inequality for diamond integrals, its converse and improvements via Green function and Taylor’s formula

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Publisher
Springer International Publishing
Copyright
Copyright © 2018 by Springer International Publishing AG, part of Springer Nature
Subject
Mathematics; Analysis; Combinatorics
ISSN
0001-9054
eISSN
1420-8903
D.O.I.
10.1007/s00010-017-0527-2
Publisher site
See Article on Publisher Site

Abstract

In this paper we define the Jensen–Steffensen inequality and its converse for diamond integrals. Then we give some improvements of these inequalities using Taylor’s formula and the Green function. We investigate bounds for the identities related to improvements of the Jensen–Steffensen inequality and its converse.

Journal

aequationes mathematicaeSpringer Journals

Published: Jan 8, 2018

References

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