Introduction in third-order fuzzy differential subordination

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Tarih

2024

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Hacettepe Univ, Fac Sci

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

In light of the well-established and widely-used theory of differential subordination, recent works incorporating fuzzy elements into Geometric Function Theory have given rise to the concept of fuzzy differential subordination. Second-order fuzzy differential sub ordinations were taken into consideration for studies up until this point. The research described in this paper aims to expand the concept of fuzzy differential subordination to third-order fuzzy differential subordination, building on an idea first put forth in 2011 by Jos & eacute; A. Antonino and Sanford S. Miller and still being investigated by scholars today. The key concepts and preliminary findings required for the development of this branch of fuzzy differential subordination are introduced. The class of admissible functions is specified, the fundamental theorems are established and the fundamental concepts of the third-order fuzzy subordination approach are presented. Several examples constructed as applications of the new results demonstrate the applicability of the new findings.

Açıklama

Anahtar Kelimeler

third-order differential subordination, fuzzy differential subordination, admissible function, fuzzy dominant, fuzzy best dominant

Kaynak

Hacettepe Journal of Mathematics and Statistics

WoS Q Değeri

Q2

Scopus Q Değeri

Q2

Cilt

53

Sayı

6

Künye