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

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...

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Bibliographic Details
Published inAIMS mathematics Vol. 9; no. 3; pp. 5850 - 5862
Main Authors Alhily, Shatha S., Lupaş, Alina Alb
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2024
Subjects
best dominant
best subordinant
differential subordination
differential superordination
fractional integral of $ q $-analogue of multiplier transformation
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Summary: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.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2024284