New Hermite–Hadamard type inequalities for n-polynomial harmonically convex functions

In the article, we introduce a class of n -polynomial harmonically convex functions, establish their several new Hermite–Hadamard type inequalities which are the generalizations and variants of the previously known results for harmonically convex functions.

Saved in:
Bibliographic Details
Published inJournal of inequalities and applications Vol. 2020; no. 1; pp. 1 - 12
Main Authors Awan, Muhammad Uzair, Akhtar, Nousheen, Iftikhar, Sabah, Noor, Muhammad Aslam, Chu, Yu-Ming
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 06.05.2020
Springer Nature B.V
SpringerOpen
Subjects
Analysis
Applications of Mathematics
Convex analysis
Functions (mathematics)
Harmonic convex function
Hermite–Hadamard inequality
Inequalities
Mathematical analysis
Mathematics
Mathematics and Statistics
n-polynomial
Polynomials
Hermite–Hadamard inequality
26A51
Harmonic convex function
26D10
polynomial
26D15
Online AccessGet full text

Cover

More Information
Summary:In the article, we introduce a class of n -polynomial harmonically convex functions, establish their several new Hermite–Hadamard type inequalities which are the generalizations and variants of the previously known results for harmonically convex functions.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-020-02393-x