On Modified Integral Inequalities for a Generalized Class of Convexity and Applications

Hari Mohan Srivastava; Muhammad Tariq; Pshtiwan Othman Mohammed; Hleil Alrweili; Eman Al-Sarairah; Manuel De La Sen

doi:10.3390/axioms12020162

On Modified Integral Inequalities for a Generalized Class of Convexity and Applications

Hari Mohan Srivastava
, Muhammad Tariq
, Pshtiwan Othman Mohammed
, Hleil Alrweili
, Eman Al-Sarairah
, Manuel De La Sen

Mathematics

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

7 Scopus citations

Abstract

In this paper, we concentrate on and investigate the idea of a novel family of modified p-convex functions. We elaborate on some of this newly proposed idea’s attractive algebraic characteristics to support it. This is used to study some novel integral inequalities in the frame of the Hermite–Hadamard type. A unique equality is established for differentiable mappings. The Hermite–Hadamard inequality is extended and estimated in a number of new ways with the help of this equality to strengthen the findings. Finally, we investigate and explore some applications for some special functions. We think the approach examined in this work will further pique the interest of curious researchers.

Original language	British English
Article number	162
Journal	Axioms
Volume	12
Issue number	2
DOIs	https://doi.org/10.3390/axioms12020162
State	Published - Feb 2023

Keywords

convexity theory
Hermite–Hadamard inequality
m-convex function
p-convex function

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10.3390/axioms12020162

Cite this

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title = "On Modified Integral Inequalities for a Generalized Class of Convexity and Applications",

abstract = "In this paper, we concentrate on and investigate the idea of a novel family of modified p-convex functions. We elaborate on some of this newly proposed idea{\textquoteright}s attractive algebraic characteristics to support it. This is used to study some novel integral inequalities in the frame of the Hermite–Hadamard type. A unique equality is established for differentiable mappings. The Hermite–Hadamard inequality is extended and estimated in a number of new ways with the help of this equality to strengthen the findings. Finally, we investigate and explore some applications for some special functions. We think the approach examined in this work will further pique the interest of curious researchers.",

keywords = "convexity theory, Hermite–Hadamard inequality, m-convex function, p-convex function",

author = "Srivastava, \{Hari Mohan\} and Muhammad Tariq and Mohammed, \{Pshtiwan Othman\} and Hleil Alrweili and Eman Al-Sarairah and \{De La Sen\}, Manuel",

note = "Funding Information: This article has been extracted from the thesis written by Shole Jamali in the Neuroscience Research Center, School of Medicine, Shahid Beheshti University of Medical Sciences (Grant/Registration No: 373). This project was supported by the Vice-Chancellor for Research \& Technology of Shahid Beheshti University of Medical Sciences (Grant No. 00-21552-1400/01/30). Publisher Copyright: {\textcopyright} 2023 by the authors.",

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month = feb,

doi = "10.3390/axioms12020162",

language = "British English",

volume = "12",

journal = "Axioms",

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AU - Srivastava, Hari Mohan

AU - Tariq, Muhammad

AU - Mohammed, Pshtiwan Othman

AU - Alrweili, Hleil

AU - Al-Sarairah, Eman

AU - De La Sen, Manuel

N1 - Funding Information: This article has been extracted from the thesis written by Shole Jamali in the Neuroscience Research Center, School of Medicine, Shahid Beheshti University of Medical Sciences (Grant/Registration No: 373). This project was supported by the Vice-Chancellor for Research & Technology of Shahid Beheshti University of Medical Sciences (Grant No. 00-21552-1400/01/30). Publisher Copyright: © 2023 by the authors.

PY - 2023/2

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N2 - In this paper, we concentrate on and investigate the idea of a novel family of modified p-convex functions. We elaborate on some of this newly proposed idea’s attractive algebraic characteristics to support it. This is used to study some novel integral inequalities in the frame of the Hermite–Hadamard type. A unique equality is established for differentiable mappings. The Hermite–Hadamard inequality is extended and estimated in a number of new ways with the help of this equality to strengthen the findings. Finally, we investigate and explore some applications for some special functions. We think the approach examined in this work will further pique the interest of curious researchers.

AB - In this paper, we concentrate on and investigate the idea of a novel family of modified p-convex functions. We elaborate on some of this newly proposed idea’s attractive algebraic characteristics to support it. This is used to study some novel integral inequalities in the frame of the Hermite–Hadamard type. A unique equality is established for differentiable mappings. The Hermite–Hadamard inequality is extended and estimated in a number of new ways with the help of this equality to strengthen the findings. Finally, we investigate and explore some applications for some special functions. We think the approach examined in this work will further pique the interest of curious researchers.

KW - convexity theory

KW - Hermite–Hadamard inequality

KW - m-convex function

KW - p-convex function

UR - https://www.scopus.com/pages/publications/85148892745

U2 - 10.3390/axioms12020162

DO - 10.3390/axioms12020162

M3 - Article

AN - SCOPUS:85148892745

SN - 2075-1680

VL - 12

JO - Axioms

JF - Axioms

IS - 2

M1 - 162

ER -

On Modified Integral Inequalities for a Generalized Class of Convexity and Applications

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Keywords

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