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Generalized strongly n-polynomial convex functions and related inequalities

open access: yesBoundary Value Problems
This paper focuses on introducing and examining the class of generalized strongly n-polynomial convex functions. Relationships between these functions and other types of convex functions are explored.
Serap Özcan   +3 more
doaj   +1 more source

Generalizations and Refinements of Hermite-Hadamard's Inequality [PDF]

open access: yes, 2001
In this article, with the help of concept of the harmonic sequence of polynomials, the well known Hermite-Hadamard’s inequality for convex functions is generalied to the cases with bounded derivatives of n-th order, including the so-called n-convex ...
Qi, Feng, Yang, Qiao, Wei, Zong-Li
core   +1 more source

Refinements on the Hermite-Hadamard Inequalities for r-Convex Functions

open access: yesJournal of Applied Mathematics, 2013
We give some new generalizations of the well-known Hermite-Hadamard inequality for r-convex functions.
Feixiang Chen, Xuefei Liu
doaj   +1 more source

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