An extension of Schweitzer's inequality to Riemann-Liouville fractional integral

Thabet Abdeljawad; Badreddine Meftah; Abdelghani Lakhdari; Manar A. Alqudah

doi:10.1515/math-2024-0043

An extension of Schweitzer's inequality to Riemann-Liouville fractional integral

Thabet Abdeljawad^*, Badreddine Meftah, Abdelghani Lakhdari, Manar A. Alqudah

^*Corresponding author for this work

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

Abstract

This note focuses on establishing a fractional version akin to the Schweitzer inequality, specifically tailored to accommodate the left-sided Riemann-Liouville fractional integral operator. The Schweitzer inequality is a fundamental mathematical expression, and extending it to the fractional realm holds significance in advancing our understanding and applications of fractional calculus.

Original language	English
Article number	20240043
Journal	Open Mathematics
Volume	22
Issue number	1
DOIs	https://doi.org/10.1515/math-2024-0043
Publication status	Published - 1 Jan 2024
Externally published	Yes

Keywords

Bernoulli inequality
Cauchy-Schwarz inequality
Riemann-Liouville integral operator
Schweitzer inequality
concave functions

Access to Document

10.1515/math-2024-0043

Cite this

@article{dabc0b5a911d49f9afbef8312a31b5e2,

title = "An extension of Schweitzer's inequality to Riemann-Liouville fractional integral",

abstract = "This note focuses on establishing a fractional version akin to the Schweitzer inequality, specifically tailored to accommodate the left-sided Riemann-Liouville fractional integral operator. The Schweitzer inequality is a fundamental mathematical expression, and extending it to the fractional realm holds significance in advancing our understanding and applications of fractional calculus.",

keywords = "Bernoulli inequality, Cauchy-Schwarz inequality, Riemann-Liouville integral operator, Schweitzer inequality, concave functions",

author = "Thabet Abdeljawad and Badreddine Meftah and Abdelghani Lakhdari and Alqudah, {Manar A.}",

note = "Publisher Copyright: {\textcopyright} 2024 the author(s).",

year = "2024",

month = jan,

day = "1",

doi = "10.1515/math-2024-0043",

language = "English",

volume = "22",

journal = "Open Mathematics",

issn = "1895-1074",

publisher = "Walter de Gruyter GmbH",

number = "1",

}

TY - JOUR

T1 - An extension of Schweitzer's inequality to Riemann-Liouville fractional integral

AU - Abdeljawad, Thabet

AU - Meftah, Badreddine

AU - Lakhdari, Abdelghani

AU - Alqudah, Manar A.

PY - 2024/1/1

Y1 - 2024/1/1

N2 - This note focuses on establishing a fractional version akin to the Schweitzer inequality, specifically tailored to accommodate the left-sided Riemann-Liouville fractional integral operator. The Schweitzer inequality is a fundamental mathematical expression, and extending it to the fractional realm holds significance in advancing our understanding and applications of fractional calculus.

AB - This note focuses on establishing a fractional version akin to the Schweitzer inequality, specifically tailored to accommodate the left-sided Riemann-Liouville fractional integral operator. The Schweitzer inequality is a fundamental mathematical expression, and extending it to the fractional realm holds significance in advancing our understanding and applications of fractional calculus.

KW - Bernoulli inequality

KW - Cauchy-Schwarz inequality

KW - Riemann-Liouville integral operator

KW - Schweitzer inequality

KW - concave functions

UR - http://www.scopus.com/inward/record.url?scp=85203073278&partnerID=8YFLogxK

U2 - 10.1515/math-2024-0043

DO - 10.1515/math-2024-0043

M3 - Article

AN - SCOPUS:85203073278

SN - 1895-1074

VL - 22

JO - Open Mathematics

JF - Open Mathematics

IS - 1

M1 - 20240043

ER -

An extension of Schweitzer's inequality to Riemann-Liouville fractional integral

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this