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

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10.1515/math-2024-0043

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AU - Alqudah, Manar A.

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KW - Bernoulli inequality

KW - Cauchy-Schwarz inequality

KW - Riemann-Liouville integral operator

KW - Schweitzer inequality

KW - concave functions

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

Abstract

Keywords

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