On some differential sandwich theorems using an extended generalized Sălăgean operator and extended Ruscheweyh operator

• Autorzy: Andrei L.

Identyfikatory

DOI

10.7862/rf.2015.3

• Języki publikacji: EN

Abstrakty

EN

In this work we define a new operator using the extended generalized Sălăgean operator and extended Ruscheweyh operator. Denote by DRm,nλ the Hadamard product of the extended generalized Sălăgean operator Dmλ and extended Ruscheweyh operator Rn, given by DRm,nλ : [...] is the class of normalized analytic functions with [...]. The purpose of this paper is to introduce sufficient conditions for strong differential subordination and strong differential superordination involving the operator DRm,nλ and also to obtain sandwich-type results.

Słowa kluczowe

EN

analytic function; differential operator; differential subordination; differential superordination

PL

funkcja analityczna; operator różniczkowy; równania różniczkowe

• Wydawca: Oficyna Wydawnicza Politechniki Rzeszowskiej
• Czasopismo: Journal of Mathematics and Applications
• Rocznik: 2015
• Tom: Vol. 38
• Strony: 33--48
• Opis fizyczny: Bibliogr. 19 poz.

Twórcy

autor

Andrei L.

• Department of Mathematics and Computer Science, University of Oradea, 1 Universitatii street, 410087 Oradea, Romania

Bibliografia

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• [3] A. Alb Lupaş, G.I. Oros, Gh. Oros, On special strong differential subordinations using Sălăgean and Ruscheweyh operators, Journal of Computational Analysis and Applications, Vol. 14, No. 2, 2012, 266-270.
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• [5] A. Alb Lupaş, Certain strong differential superordinations using a generalized Sălăgean operator and Ruscheweyh operator, Journal of Applied Functional Analysis, Vol. 7, No.’s 1-2, 2012, 62-68.
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