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.

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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
ISSN1029-242X
1025-5834
1029-242X
DOI10.1186/s13660-020-02393-x

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Abstract 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.
AbstractList 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.
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.
Abstract 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.
ArticleNumber 125
Author Chu, Yu-Ming
Awan, Muhammad Uzair
Noor, Muhammad Aslam
Akhtar, Nousheen
Iftikhar, Sabah
Author_xml – sequence: 1
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  fullname: Awan, Muhammad Uzair
  organization: Department of Mathematics, Government College University
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  givenname: Nousheen
  surname: Akhtar
  fullname: Akhtar, Nousheen
  organization: Department of Mathematics, Government College University
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  givenname: Sabah
  surname: Iftikhar
  fullname: Iftikhar, Sabah
  organization: Department of Mathematics, COMSATS University Islamabad
– sequence: 4
  givenname: Muhammad Aslam
  surname: Noor
  fullname: Noor, Muhammad Aslam
  organization: Department of Mathematics, COMSATS University Islamabad
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  givenname: Yu-Ming
  orcidid: 0000-0002-0944-2134
  surname: Chu
  fullname: Chu, Yu-Ming
  email: chuyuming2005@126.com
  organization: Department of Mathematics, Huzhou University, Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changsha University of Science & Technology
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Copyright_xml – notice: The Author(s) 2020
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Snippet In the article, we introduce a class of n -polynomial harmonically convex functions, establish their several new Hermite–Hadamard type inequalities which are...
In the article, we introduce a class of n-polynomial harmonically convex functions, establish their several new Hermite–Hadamard type inequalities which are...
Abstract In the article, we introduce a class of n-polynomial harmonically convex functions, establish their several new Hermite–Hadamard type inequalities...
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SubjectTerms Analysis
Applications of Mathematics
Convex analysis
Functions (mathematics)
Harmonic convex function
Hermite–Hadamard inequality
Inequalities
Mathematical analysis
Mathematics
Mathematics and Statistics
n-polynomial
Polynomials
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Title New Hermite–Hadamard type inequalities for n-polynomial harmonically convex functions
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