A class of superordination-preserving integral operators

Bulboacă, Teodor

doi:10.1016/s0019-3577(02)80013-1

Cited by 114 publications

(65 citation statements)

References 1 publication

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“…Thus, according to the Lemma 1, from (8) it follows that p ≺ q and q is the best dominant, which completes our proof.…”

Section: Now We Apply Lemma 1 With θ(W)supporting

confidence: 63%

“…Following Miller and Mocanu ( [12]), Bulboacȃ ([7]) investigated certain classes of first order differential superordinations as well as superordination preserving integral operators ( [8]). Ali et al [1] used the results obtained by Bulboacȃ ([8]) and gave the sufficient conditions for certain normalized analytic functions f to satisfy…”

Section: (0) and F (U) ⊂ G(u)mentioning

confidence: 99%

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Sandwich results for higher order fractional derivative operators

Zayed

Bulboacă

2017

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. Sandwich results for higher order fractional derivative operators, Mat. Stud. 49 (2018), 52-66.In this paper we obtain some differential subordinations and superordinations related to a generalized fractional derivative operator for higher order derivatives of multivalent functions. Moreover, we derive some sandwich results under certain assumptions on the parameters involved, and these new results generalize some previously well-known theorems.

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“…Thus, according to the Lemma 1, from (8) it follows that p ≺ q and q is the best dominant, which completes our proof.…”

Section: Now We Apply Lemma 1 With θ(W)supporting

confidence: 63%

Section: (0) and F (U) ⊂ G(u)mentioning

confidence: 99%

Sandwich results for higher order fractional derivative operators

Zayed

Bulboacă

2017

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“…Using the results of Miller and Mocanu [14], Bulboača [3] considered certain classes of first order differential superordinations as well as superordination-preserving integral operators [5]. Ali et al [1], have used the results of Bulboača [3] to obtain sufficient conditions for normalized analytic functions to satisfy:…”

Section: (A ∈ C)mentioning

confidence: 99%

Differential sandwich theorems for analytic functions defined by some linear operators

Aouf¹,

Mostafa²,

El-Ashwah³

2008

Annales UMCS, Mathematica

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“…Using these results, Bulboaca [4] considered certain classes of first-order differential superordinations, as well as superordination-preserving integral operators [5]. Ali et al [1], using the results from [4], obtained sufficient conditions for certain normalized analytic functions to satisfy…”

Section: Introductionmentioning

confidence: 99%