Certain integral inequalities associated with the strongly harmonic h-convex functions

Miguel Vivas-Cortez; Praveen Agarwal; Jorge E. Hernándezh; Shaher Momani

doi:10.18576/amis/170412

Certain integral inequalities associated with the strongly harmonic h-convex functions

Miguel Vivas-Cortez
, Praveen Agarwal
, Jorge E. Hernándezh
, Shaher Momani

Nonlinear Dynamic Research Centre (NDRC)

Pontificia Universidad Católica del Ecuador
International College of Engineering
People's Friendship University of Russia
Universidad Centroccidental Lisandro Alvarado
University of Jordan

Research output: Contribution to journal › Article › peer-review

Abstract

We study the concept of strongly harmonically h-convex functions and some examples and properties of them. Here, we develop few inequalities for this new class of functions, specifically these inequalities are: Hermite-Hadamard and Fejer. In addition, we establish some applications of our results to special media of non zero and non negative real numbers.

Original language	English
Pages (from-to)	639-648
Number of pages	10
Journal	Applied Mathematics and Information Sciences
Volume	17
Issue number	4
DOIs	https://doi.org/10.18576/amis/170412
State	Published - 2023

Keywords

Fejer inequality
Hermite-Hadamard inequality
convex functions
h-convex functions

Access to Document

10.18576/amis/170412

Cite this

@article{3d69c5cce3d54850af77305560962244,

title = "Certain integral inequalities associated with the strongly harmonic h-convex functions",

abstract = "We study the concept of strongly harmonically h-convex functions and some examples and properties of them. Here, we develop few inequalities for this new class of functions, specifically these inequalities are: Hermite-Hadamard and Fejer. In addition, we establish some applications of our results to special media of non zero and non negative real numbers.",

keywords = "Fejer inequality, Hermite-Hadamard inequality, convex functions, h-convex functions",

author = "Miguel Vivas-Cortez and Praveen Agarwal and Hern{\'a}ndezh, \{Jorge E.\} and Shaher Momani",

year = "2023",

doi = "10.18576/amis/170412",

language = "English",

volume = "17",

pages = "639--648",

journal = "Applied Mathematics and Information Sciences",

issn = "1935-0090",

publisher = "Natural Sciences Publishing",

number = "4",

}

TY - JOUR

T1 - Certain integral inequalities associated with the strongly harmonic h-convex functions

AU - Vivas-Cortez, Miguel

AU - Agarwal, Praveen

AU - Hernándezh, Jorge E.

AU - Momani, Shaher

PY - 2023

Y1 - 2023

N2 - We study the concept of strongly harmonically h-convex functions and some examples and properties of them. Here, we develop few inequalities for this new class of functions, specifically these inequalities are: Hermite-Hadamard and Fejer. In addition, we establish some applications of our results to special media of non zero and non negative real numbers.

AB - We study the concept of strongly harmonically h-convex functions and some examples and properties of them. Here, we develop few inequalities for this new class of functions, specifically these inequalities are: Hermite-Hadamard and Fejer. In addition, we establish some applications of our results to special media of non zero and non negative real numbers.

KW - Fejer inequality

KW - Hermite-Hadamard inequality

KW - convex functions

KW - h-convex functions

UR - https://www.scopus.com/pages/publications/85166290199

U2 - 10.18576/amis/170412

DO - 10.18576/amis/170412

M3 - Article

AN - SCOPUS:85166290199

SN - 1935-0090

VL - 17

SP - 639

EP - 648

JO - Applied Mathematics and Information Sciences

JF - Applied Mathematics and Information Sciences

IS - 4

ER -

Certain integral inequalities associated with the strongly harmonic h-convex functions

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this