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Research Article | Open Access

Novel inequalities for subadditive functions via tempered fractional integrals and their numerical investigations

Artion Kashuri1, Soubhagya Kumar Sahoo2, Pshtiwan Othman Mohammed3,4( ), Eman Al-Sarairah5,6, Nejmeddine Chorfi7( )
Department of Mathematical Engineering, Polytechnic University of Tirana, Tirana 1001, Albania
Department of Mathematics, ITER, Siksha O Anusandhan University, Bhubaneswar 751030, India
Department of Mathematics, College of Education, University of Sulaimani, Sulaymaniyah 46001, Iraq
Research and Development Center, University of Sulaimani, Sulaymaniyah 46001, Iraq
Department of Mathematics, Khalifa University, P.O. Box 127788, Abu Dhabi, United Arab Emirates
Department of Mathematics, Al-Hussein Bin Talal University, P.O. Box 20, Ma'an 71111, Jordan
Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia
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Abstract

In this paper, we proposed some new integral inequalities for subadditive functions and the product of subadditive functions. Additionally, a novel integral identity was established and a number of inequalities of the Hermite-Hadamard type for subadditive functions pertinent to tempered fractional integrals were proved. Finally, to support the major results, we provided several examples of subadditive functions and corresponding graphs for the newly proposed inequalities.

Keywords

Hermite-Hadamard inequalitysubadditivitytempered fractional integral operatorsHölder's inequalitypower-mean inequalityestimations
CLC number: 26A33, 26A51, 26D07, 26D10, 26D15

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AIMS Mathematics
Volume 9 Issue 5,
May 2024
Pages 13195-13210
DOI: 10.3934/math.2024643

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Cite this article:
Kashuri A, Sahoo SK, Mohammed PO, et al. Novel inequalities for subadditive functions via tempered fractional integrals and their numerical investigations. AIMS Mathematics, 2024, 9(5): 13195-13210. https://doi.org/10.3934/math.2024643

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Received: 29 January 2024
Revised: 25 March 2024
Accepted: 03 April 2024
Published: 15 May 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)