Generalizations of Steffensen’s inequality via the extension of Montgomery identity

Generalizations of Steffensen’s inequality via the extension of Montgomery identity AbstractIn this paper, we obtained new generalizations of Steffensen’s inequality for n-convex functions by using extension of Montgomery identity via Taylor’s formula. Since 1-convex functions are nondecreasing functions, new inequalities generalize Stefensen’s inequality. Related Ostrowski type inequalities are also provided. Bounds for the reminders in new identities are given by using the Chebyshev and Grüss type inequalities. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Open Mathematics de Gruyter

Generalizations of Steffensen’s inequality via the extension of Montgomery identity

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Publisher
de Gruyter
Copyright
© 2018 Aglić Aljinović et al., published by De Gruyter
ISSN
2391-5455
eISSN
2391-5455
D.O.I.
10.1515/math-2018-0039
Publisher site
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Abstract

AbstractIn this paper, we obtained new generalizations of Steffensen’s inequality for n-convex functions by using extension of Montgomery identity via Taylor’s formula. Since 1-convex functions are nondecreasing functions, new inequalities generalize Stefensen’s inequality. Related Ostrowski type inequalities are also provided. Bounds for the reminders in new identities are given by using the Chebyshev and Grüss type inequalities.

Journal

Open Mathematicsde Gruyter

Published: Apr 26, 2018

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