Access the full text.
Sign up today, get DeepDyve free for 14 days.
Loading next page...
/lp/springer_journal/jensen-steffensen-inequality-for-diamond-integrals-its-converse-and-PZ2BAyf5Vd
References (18)
-
Asif Khan, J. Pečarić, M. Lipanović (2013)
n-EXPONENTIAL CONVEXITY FOR JENSEN-TYPE INEQUALITIESJournal of Mathematical Inequalities, 7
-
Constantin Niculescu, L. Persson (2005)
Convex Functions and Their Applications: A Contemporary Approach -
D. Widder (1942)
Completely convex functions and Lidstone seriesTransactions of the American Mathematical Society, 51
-
J. Steffensen (1919)
On Certain Inequalities and Methods of ApproximationJournal of the Institute of Actuaries, 51
-
(2014)
D.F.M.: The diamond integrals on time scales -
JE Pečarić, F Proschan, YL Tong (1992)
Convex Functions, Partial Orderings, and Statistical Applications. Mathematics in Science and Engineering -
Constantin Niculescu, Cuatualin Spiridon (2012)
New Jensen-type inequalitiesJournal of Mathematical Analysis and Applications, 401
-
P. Bullen (1998)
THE JENSEN-STEFFENSEN INEQUALITYMathematical Inequalities & Applications
-
AMC Brito, N Martins, DFM Torres (2014)
The diamond integrals on time scalesBull. Malays. Math. Sci. Soc.
-
C. Dinu (2009)
A Weighted Hermite Hadamard Inequality for Steffensen-Popoviciu and Hermite-Hadamard Weights on Time Scales -
J. Pečarić, I. Peric, M. Lipanović (2014)
Uniform treatment of Jensen type inequalitiesMathematical Reports
-
Q. Sheng, M. Fadag, J. Henderson, John Davis (2006)
An exploration of combined dynamic derivatives on time scales and their applicationsNonlinear Analysis-real World Applications, 7
-
M. Bohner, A. Peterson (2012)
Advances in Dynamic Equations on Time Scales -
(2007)
A Hermite-Hadamard inequality for convex–concave symmetric functions -
M. Bohner, A. Peterson (2001)
Dynamic Equations on Time Scales: An Introduction with Applications -
J. Pečarić, F. Proschan, Y. Tong (1992)
Convex Functions, Partial Orderings, and Statistical Applications -
G. Aras-Gazić, J. Pečarić, A. Vukelic (2017)
Generalization of Jensen's and Jensen-Steffensen's inequalities and their converses by Lidstone's polynomial and majorization theoremJournal of Numerical Analysis and Approximation Theory
-
P. Cerone, S. Dragomir (2014)
Some new ostrowski-type bounds for the čebyšev functional and applicationsJournal of Mathematical Inequalities
- Publisher
- Springer Journals
- Copyright
- Copyright © 2018 by Springer International Publishing AG, part of Springer Nature
- Subject
- Mathematics; Analysis; Combinatorics
- ISSN
- 0001-9054
- eISSN
- 1420-8903
- DOI
- 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 mathematicae – Springer Journals
Published: Jan 8, 2018