THERMAL SCIENCE

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Zheng-Rong Xiang

,

Qi-Qi Wu

HOLDER TYPE INEQUALITY FOR NEW CONFORMABLE FRACTIONAL INTEGRAL AND SOME RELATED RESULTS

ABSTRACT
The paper is concerned with the investigation of Holder's inequality. Firstly, we establish a new Holder's type inequality by using new conformable fractional integral which was introduced by Kajouni et al. [1]. Secondly, we give a reverse conformable fractional integral Holder's type inequality. Finally, we obtain some results related with conformable fractional integral Holder's type inequality.
KEYWORDS
fractional integral Holder’s inequality, reverse inequality fractional integral Minkowski’s inequality
PAPER SUBMITTED: 2024-07-20
PAPER REVISED: 2024-10-27
PAPER ACCEPTED: 2024-11-25
PUBLISHED ONLINE: 2025-06-01
DOI REFERENCE: https://doi.org/10.2298/TSCI2502455X
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2025, VOLUME 29, ISSUE Issue 2, PAGES [1455 - 1461]
REFERENCES
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Holder type inequality for new conformable fractional integral and some related results

2025 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence