New Inequalities for η-Quasiconvex Functions

Eze R. Nwaeze () and Delfim F. M. Torres ()
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Eze R. Nwaeze: Alabama State University, Department of Mathematics and Computer Science
Delfim F. M. Torres: University of Aveiro, Center for Research and Development in Mathematics and Applications (CIDMA), Department of Mathematics

A chapter in Frontiers in Functional Equations and Analytic Inequalities, 2019, pp 423-434 from Springer

Abstract: 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.

Keywords: Ostrowski inequality; η-quasiconvexity; Hölder’s inequality; 26D15, 26E60 (Primary); 26A51 (Secondary) (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-28950-8_22

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DOI: 10.1007/978-3-030-28950-8_22

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