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Research Article | Open Access

Sandwich theorems involving fractional integrals applied to the q -analogue of the multiplier transformation

Shatha S. Alhily1, Alina Alb Lupaş2( )
Department of Mathematics, College of Science, Mustansiriyah University, Baghdad, Iraq
Department of Mathematics and Computer Science, University of Oradea, 1 Universitatii street, 410087 Oradea, Romania
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Abstract

In this paper, the research discussed involves fractional calculus applied to a q-operator. Fractional integrals applied to the q-analogue of the multiplier transformation gives a new operator, and the research is conducted applying the differential subordination and superordination theories. The best dominant and the best subordinant are obtained by the theorems and corollaries discussed. Combining the results from the both theories, sandwich-type results are presented as a conclusion of this research.

Keywords

fractional integral of q-analogue of multiplier transformationdifferential subordinationdifferential superordinationbest dominantbest subordinant
CLC number: 30C45

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AIMS Mathematics
Volume 9 Issue 3,
March 2024
Pages 5850-5862
DOI: 10.3934/math.2024284

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Cite this article:
Alhily SS, Lupaş AA. Sandwich theorems involving fractional integrals applied to the q -analogue of the multiplier transformation. AIMS Mathematics, 2024, 9(3): 5850-5862. https://doi.org/10.3934/math.2024284

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Received: 04 October 2023
Revised: 17 December 2023
Accepted: 10 January 2024
Published: 15 March 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)