Generalizations of Steffensen's inequality via the extension of Montgomery identity. Aljinovic, A. A., Pecaric, J., & Pribanic, A. P. OPEN MATHEMATICS, 16:420–428, DE GRUYTER POLAND SP ZOO, BOGUMILA ZUGA 32A STR., 01-811 WARSAW, POLAND, April, 2018. doi abstract bibtex In 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 Gruss type inequalities.
@article{WOS:000431251200001,
abstract = {In 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 Gruss type inequalities.},
address = {BOGUMILA ZUGA 32A STR., 01-811 WARSAW, POLAND},
author = {Aljinovic, Andrea Aglic and Pecaric, Josip and Pribanic, Anamarija Perusic},
doi = {10.1515/math-2018-0039},
issn = {2391-5455},
journal = {OPEN MATHEMATICS},
keywords = {Steffensen's inequality; n-convex functions; Montg},
month = apr,
pages = {420--428},
publisher = {DE GRUYTER POLAND SP ZOO},
title = {{Generalizations of Steffensen's inequality via the extension of Montgomery identity}},
type = {Article},
volume = {16},
year = {2018}
}
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