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Title: New inequalities for η-quasiconvex function
Author: Nwaeze, Eze R.
Torres, Delfim F. M.
Keywords: Ostrowski inequality
Hölder’s inequality
Issue Date: 2019
Publisher: Springer
Abstract: The class of η-quasiconvex functions was introduced in 2016. Here we establish novel inequalities of Ostrowski type for functions whose second derivative, in absolute value raised to the power q ≥ 1, is η-quasiconvex. Several interesting inequalities are deduced as special cases. Furthermore, we apply our results to the arithmetic, geometric, Harmonic, logarithmic, generalized log and identric means, getting new relations amongst them.
Peer review: yes
DOI: 10.1007/978-3-030-28950-8_22
ISBN: 978-3-030-28949-2
Appears in Collections:CIDMA - Capítulo de livro
SCG - Capítulo de livro

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