Parameterized Quantum Fractional Integral Inequalities Defined by Using n-Polynomial Convex Functions

Rozana Liko; Hari Mohan Srivastava; Pshtiwan Othman Mohammed; Artion Kashuri; Eman Al-Sarairah; Soubhagya Kumar Sahoo; Mohamed S. Soliman

doi:10.3390/axioms11120727

Parameterized Quantum Fractional Integral Inequalities Defined by Using n-Polynomial Convex Functions

Rozana Liko, Hari Mohan Srivastava, Pshtiwan Othman Mohammed, Artion Kashuri, Eman Al-Sarairah, Soubhagya Kumar Sahoo, Mohamed S. Soliman

Mathematics

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

2 Scopus citations

Abstract

Convexity performs the appropriate role in the theoretical study of inequalities according to the nature and behaviour. There is a strong relation between symmetry and convexity. In this article, we consider a new parameterized quantum fractional integral identity. Following that, our main results are established, which consist of some integral inequalities of Ostrowski and midpoint type pertaining to n-polynomial convex functions. From our main results, we discuss in detail several special cases. Finally, an example and an application to special means of positive real numbers are presented to support our theoretical results.

Original language	British English
Article number	727
Journal	Axioms
Volume	11
Issue number	12
DOIs	https://doi.org/10.3390/axioms11120727
State	Published - Dec 2022

Keywords

(Formula presented.)-Hölder’s inequality
(Formula presented.)-power mean inequality
n-polynomial convex functions
Ostrowski inequality
Riemann–Liouville (Formula presented.)-fractional integrals
special means

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10.3390/axioms11120727

Cite this

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title = "Parameterized Quantum Fractional Integral Inequalities Defined by Using n-Polynomial Convex Functions",

abstract = "Convexity performs the appropriate role in the theoretical study of inequalities according to the nature and behaviour. There is a strong relation between symmetry and convexity. In this article, we consider a new parameterized quantum fractional integral identity. Following that, our main results are established, which consist of some integral inequalities of Ostrowski and midpoint type pertaining to n-polynomial convex functions. From our main results, we discuss in detail several special cases. Finally, an example and an application to special means of positive real numbers are presented to support our theoretical results.",

keywords = "(Formula presented.)-H{\"o}lder{\textquoteright}s inequality, (Formula presented.)-power mean inequality, n-polynomial convex functions, Ostrowski inequality, Riemann–Liouville (Formula presented.)-fractional integrals, special means",

author = "Rozana Liko and Srivastava, \{Hari Mohan\} and Mohammed, \{Pshtiwan Othman\} and Artion Kashuri and Eman Al-Sarairah and Sahoo, \{Soubhagya Kumar\} and Soliman, \{Mohamed S.\}",

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year = "2022",

month = dec,

doi = "10.3390/axioms11120727",

language = "British English",

volume = "11",

journal = "Axioms",

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T1 - Parameterized Quantum Fractional Integral Inequalities Defined by Using n-Polynomial Convex Functions

AU - Liko, Rozana

AU - Srivastava, Hari Mohan

AU - Mohammed, Pshtiwan Othman

AU - Kashuri, Artion

AU - Al-Sarairah, Eman

AU - Sahoo, Soubhagya Kumar

AU - Soliman, Mohamed S.

PY - 2022/12

Y1 - 2022/12

N2 - Convexity performs the appropriate role in the theoretical study of inequalities according to the nature and behaviour. There is a strong relation between symmetry and convexity. In this article, we consider a new parameterized quantum fractional integral identity. Following that, our main results are established, which consist of some integral inequalities of Ostrowski and midpoint type pertaining to n-polynomial convex functions. From our main results, we discuss in detail several special cases. Finally, an example and an application to special means of positive real numbers are presented to support our theoretical results.

AB - Convexity performs the appropriate role in the theoretical study of inequalities according to the nature and behaviour. There is a strong relation between symmetry and convexity. In this article, we consider a new parameterized quantum fractional integral identity. Following that, our main results are established, which consist of some integral inequalities of Ostrowski and midpoint type pertaining to n-polynomial convex functions. From our main results, we discuss in detail several special cases. Finally, an example and an application to special means of positive real numbers are presented to support our theoretical results.

KW - (Formula presented.)-Hölder’s inequality

KW - (Formula presented.)-power mean inequality

KW - n-polynomial convex functions

KW - Ostrowski inequality

KW - Riemann–Liouville (Formula presented.)-fractional integrals

KW - special means

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U2 - 10.3390/axioms11120727

DO - 10.3390/axioms11120727

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SN - 2075-1680

VL - 11

JO - Axioms

JF - Axioms

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ER -

Parameterized Quantum Fractional Integral Inequalities Defined by Using n-Polynomial Convex Functions

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Keywords

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