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A Note on Hermite–Hadamard–Fejer Type Inequalities for Functions Whose n-th Derivatives Are m-Convex or (α,m)-Convex Functions

Authors :
Sanja Kovač
Source :
Axioms, Vol 11, Iss 16, p 16 (2022), Axioms; Volume 11; Issue 1; Pages: 16
Publication Year :
2022
Publisher :
MDPI AG, 2022.

Abstract

In this paper, we develop some Hermite–Hadamard–Fejér type inequalities for n-times differentiable functions whose absolute values of n-th derivatives are (α,m)-convex function. The results obtained in this paper are extensions and generalizations of the existing ones. As a special case, the generalization of the remainder term of the midpoint and trapezoidal quadrature formulas are obtained.

Details

Language :
English
ISSN :
20751680
Volume :
11
Issue :
16
Database :
OpenAIRE
Journal :
Axioms
Accession number :
edsair.doi.dedup.....ff89a34d2c117087f1d560eaa727bee9