Midpoint inequalities in fractional calculus defined using positive weighted symmetry function kernels

Pshtiwan Othman Mohammed; Hassen Aydi; Artion Kashuri; Y. S. Hamed; Khadijah M. Abualnaja

doi:10.3390/sym13040550

Midpoint inequalities in fractional calculus defined using positive weighted symmetry function kernels

Pshtiwan Othman Mohammed^*, Hassen Aydi^*, Artion Kashuri, Y. S. Hamed, Khadijah M. Abualnaja

^*Corresponding author for this work

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

37 Citations (Scopus)

Abstract

The aim of our study is to establish, for convex functions on an interval, a midpoint version of the fractional HHF type inequality. The corresponding fractional integral has a symmetric weight function composed with an increasing function as integral kernel. We also consider a midpoint identity and establish some related inequalities based on this identity. Some special cases can be considered from our main results. These results confirm the generality of our attempt.

Original language	English
Article number	550
Journal	Symmetry
Volume	13
Issue number	4
DOIs	https://doi.org/10.3390/sym13040550
Publication status	Published - Apr 2021
Externally published	Yes

Keywords

Convex functions
HHF type inequality
Symmetry
Weighted fractional operators

Access to Document

10.3390/sym13040550

Cite this

@article{a69e57120a4f4881a3bf446fe1060d46,

title = "Midpoint inequalities in fractional calculus defined using positive weighted symmetry function kernels",

abstract = "The aim of our study is to establish, for convex functions on an interval, a midpoint version of the fractional HHF type inequality. The corresponding fractional integral has a symmetric weight function composed with an increasing function as integral kernel. We also consider a midpoint identity and establish some related inequalities based on this identity. Some special cases can be considered from our main results. These results confirm the generality of our attempt.",

keywords = "Convex functions, HHF type inequality, Symmetry, Weighted fractional operators",

author = "Mohammed, \{Pshtiwan Othman\} and Hassen Aydi and Artion Kashuri and Hamed, \{Y. S.\} and Abualnaja, \{Khadijah M.\}",

note = "Publisher Copyright: {\textcopyright} 2021 by the authors. Licensee MDPI, Basel, Switzerland.",

year = "2021",

month = apr,

doi = "10.3390/sym13040550",

language = "English",

volume = "13",

journal = "Symmetry",

issn = "2073-8994",

publisher = "Multidisciplinary Digital Publishing Institute (MDPI)",

number = "4",

}

TY - JOUR

T1 - Midpoint inequalities in fractional calculus defined using positive weighted symmetry function kernels

AU - Mohammed, Pshtiwan Othman

AU - Aydi, Hassen

AU - Kashuri, Artion

AU - Hamed, Y. S.

AU - Abualnaja, Khadijah M.

PY - 2021/4

Y1 - 2021/4

N2 - The aim of our study is to establish, for convex functions on an interval, a midpoint version of the fractional HHF type inequality. The corresponding fractional integral has a symmetric weight function composed with an increasing function as integral kernel. We also consider a midpoint identity and establish some related inequalities based on this identity. Some special cases can be considered from our main results. These results confirm the generality of our attempt.

AB - The aim of our study is to establish, for convex functions on an interval, a midpoint version of the fractional HHF type inequality. The corresponding fractional integral has a symmetric weight function composed with an increasing function as integral kernel. We also consider a midpoint identity and establish some related inequalities based on this identity. Some special cases can be considered from our main results. These results confirm the generality of our attempt.

KW - Convex functions

KW - HHF type inequality

KW - Symmetry

KW - Weighted fractional operators

UR - https://www.scopus.com/pages/publications/85103818551

U2 - 10.3390/sym13040550

DO - 10.3390/sym13040550

M3 - Article

AN - SCOPUS:85103818551

SN - 2073-8994

VL - 13

JO - Symmetry

JF - Symmetry

IS - 4

M1 - 550

ER -

Midpoint inequalities in fractional calculus defined using positive weighted symmetry function kernels

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this