IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v9y2021i16p2000-d618806.html
   My bibliography  Save this article

New Applications of Sălăgean and Ruscheweyh Operators for Obtaining Fuzzy Differential Subordinations

Author

Listed:
  • Alina Alb Lupaş

    (Department of Mathematics and Computer Science, University of Oradea, 1 Universitatii Street, 410087 Oradea, Romania
    These authors contributed equally to this work.)

  • Georgia Irina Oros

    (Department of Mathematics and Computer Science, University of Oradea, 1 Universitatii Street, 410087 Oradea, Romania
    These authors contributed equally to this work.)

Abstract

The present paper deals with notions from the field of complex analysis which have been adapted to fuzzy sets theory, namely, the part dealing with geometric function theory. Several fuzzy differential subordinations are established regarding the operator L α m , given by L α m : A n → A n , L α m f ( z ) = ( 1 − α ) R m f ( z ) + α S m f ( z ) , where A n = { f ∈ H ( U ) , f ( z ) = z + a n + 1 z n + 1 + … , z ∈ U } is the subclass of normalized holomorphic functions and the operators R m f ( z ) and S m f ( z ) are Ruscheweyh and Sălăgean differential operator, respectively. Using the operator L α m , a certain fuzzy class of analytic functions denoted by S L F m δ , α is defined in the open unit disc. Interesting results related to this class are obtained using the concept of fuzzy differential subordination. Examples are also given for pointing out applications of the theoretical results contained in the original theorems and corollaries.

Suggested Citation

  • Alina Alb Lupaş & Georgia Irina Oros, 2021. "New Applications of Sălăgean and Ruscheweyh Operators for Obtaining Fuzzy Differential Subordinations," Mathematics, MDPI, vol. 9(16), pages 1-12, August.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:16:p:2000-:d:618806
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/9/16/2000/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/9/16/2000/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Lupaş, Alina Alb & Oros, Gheorghe, 2015. "On special fuzzy differential subordinations using Sălăgean and Ruscheweyh operators," Applied Mathematics and Computation, Elsevier, vol. 261(C), pages 119-127.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Georgia Irina Oros, 2021. "Fuzzy Differential Subordinations Obtained Using a Hypergeometric Integral Operator," Mathematics, MDPI, vol. 9(20), pages 1-13, October.
    2. Daniel Breaz & Shahid Khan & Ferdous M. O. Tawfiq & Fairouz Tchier, 2023. "Applications of Fuzzy Differential Subordination to the Subclass of Analytic Functions Involving Riemann–Liouville Fractional Integral Operator," Mathematics, MDPI, vol. 11(24), pages 1-22, December.
    3. Georgia Irina Oros & Simona Dzitac, 2022. "Applications of Subordination Chains and Fractional Integral in Fuzzy Differential Subordinations," Mathematics, MDPI, vol. 10(10), pages 1-18, May.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:9:y:2021:i:16:p:2000-:d:618806. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.