Strong differential subordination

Oros, Georgia Irina; Oros, Gheorghe

doi:10.3906/mat-0804-16

Cited by 32 publications

(48 citation statements)

References 3 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We remind the notion of strong differential subordinations defined by J. A. Antonino and S. Romaguera in [21] and developed by G. I. Oros and Gh. Oros in [22].…”

Section: Strong Differential Subordination and Superordination-backgr...mentioning

confidence: 99%

“…A. Antonino and S. Romaguera in [21] and developed by G. I. Oros and Gh. Oros in [22]. Definition 3 (See [22]).…”

Section: Strong Differential Subordination and Superordination-backgr...mentioning

confidence: 99%

“…then q(z, ζ)≺≺p(z, ζ) and the best subordinant is q. e multiplier transformation was extended in [26] to the class of analytic functions A * nζ defined in [22].…”

Section: Strong Differential Subordination and Superordination-backgr...mentioning

confidence: 99%

See 2 more Smart Citations

Differential Sandwich Theorems for Atangana–Baleanu Fractional Integral Applied to Extended Multiplier Transformation

Lupaş

Hazarika

2022

Mathematical Problems in Engineering

View full text Add to dashboard Cite

In this paper we derive subordination and superordination results regarding the Atangana–Baleanu fractional integral applied to multiplier transformation and we give several differential sandwich-type theorems. Then, we apply the Atangana–Baleanu fractional integral to extended multiplier transformation on the class A ζ ∗ of normalized analytic functions and we derive strong differential subordination and strong differential superordination results regarding the extended new operator and we give the corresponding differential sandwich-type theorems from the first part of the paper.

show abstract

“…We remind the notion of strong differential subordinations defined by J. A. Antonino and S. Romaguera in [21] and developed by G. I. Oros and Gh. Oros in [22].…”

Section: Strong Differential Subordination and Superordination-backgr...mentioning

confidence: 99%

“…A. Antonino and S. Romaguera in [21] and developed by G. I. Oros and Gh. Oros in [22]. Definition 3 (See [22]).…”

Section: Strong Differential Subordination and Superordination-backgr...mentioning

confidence: 99%

See 1 more Smart Citation

Differential Sandwich Theorems for Atangana–Baleanu Fractional Integral Applied to Extended Multiplier Transformation

Lupaş

Hazarika

2022

Mathematical Problems in Engineering

View full text Add to dashboard Cite

show abstract

“…The new notion of fuzzy subordination was defined and studied recently in the papers [18][19][20]. This theory was developed in order to extend the classical differential subordination theory introduced and studied by S.S. Miller and P.T.…”

Section: Introductionmentioning

confidence: 99%

Fuzzy Best Dominants for Certain Fuzzy Differential Subordinations

Cătaş

2022

J. Adv. App. Comput. Math.

View full text Add to dashboard Cite

This paper aims to present a survey on certain fuzzy subordination properties for analytic functions defined in the open unit disk. The new results are derived by considering a certain differential operator. By making use of two differential properties of the operator we determine sufficient conditions to find the fuzzy best dominants for several fuzzy differential subordinations. Some interesting further fuzzy consequences are also considered.

show abstract

“…and Then in which is the best subordinate of and it is convex (1.3).Recently, Wanas et al[4] introduced the following operator, which is called Wanas, operator) which is defined in by where , with , , . Special cases of this operator can be found in[5,6,7,8,9,10,11,12,13,14,15]. For more details, see[16,17].A function is said to be a member of the class if the deep differential superordination is satisfied where is given by (1.6).From (2.1) and (2.2), we get and Both and are convex functions.…”

mentioning

confidence: 99%