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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
- 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.
- Subjects :
- weight
function
Hermite–Hadamard
Fejér
onepoint integral formula
trapezoid formula
midpoint formula
Algebra and Number Theory
Logic
Mathematics::Classical Analysis and ODEs
MathematicsofComputing_GENERAL
Computer Science::Digital Libraries
TheoryofComputation_MATHEMATICALLOGICANDFORMALLANGUAGES
QA1-939
Computer Science::Programming Languages
Geometry and Topology
Mathematical Physics
Analysis
Mathematics
Subjects
Details
- Language :
- English
- ISSN :
- 20751680
- Volume :
- 11
- Issue :
- 16
- Database :
- OpenAIRE
- Journal :
- Axioms
- Accession number :
- edsair.doi.dedup.....ff89a34d2c117087f1d560eaa727bee9