On certain differential sandwich theorems involving a generalized Sǎlǎgean operator and Ruscheweyh operator-Reference-Cited by-同舟云学术

On certain differential sandwich theorems involving a generalized Sǎlǎgean operator and Ruscheweyh operator

Published:2015-01-01 Issue:1 Volume:23 Page:37-52
ISSN:1844-0835
Container-title:Analele Universitatii "Ovidius" Constanta - Seria Matematica
language:en
Short-container-title:

Author:

Loriana Andrei¹

Affiliation:

1. Department of Mathematics and Computer Science, University of Oradea, 1 Universitatii Street, 410087, Oradea, Romania . Department of Mathematics, University of Pitesti, Targul din Vale Street, No. 1, 110040, Pitesti, Romania

Abstract

Abstract In the present paper we introduce sufficient conditions for subordination and superordination involving the operator

DR λ m , n

$DR_\lambda ^{m,n} $

and also we obtain sandwich-type results.

Publisher

Walter de Gruyter GmbH

Reference23 articles.

1. [1] A. Alb Lupas, Certain differential subordinations using Sǎlǎgean and Ruscheweyh operators, Acta Universitatis Apulensis, No. 29/2012, 125-129.

2. [2] A. Alb Lupas, A note on differential subordinations using Sǎlǎgean and Ruscheweyh operators, Romai Journal, vol. 6, nr. 1(2010), 1–4.

3. [3] A. Alb Lupas, Certain differential superordinations using Sǎlǎgean and Ruscheweyh operators, Analele Universitǎţii din Oradea, Fascicola Matematica, Tom XVII, Issue no. 2, 2010, 209-216.

4. [4] A. Alb Lupas, Certain differential subordinations using a generalized Sǎlǎgean operator and Ruscheweyh operator I, Journal of Mathematics and Applications, No. 33 (2010), 67-72.

5. [5] A. Alb Lupas, Certain differential subordinations using a generalized Sǎlǎgean operator and Ruscheweyh operator II, Fractional Calculus and Applied Analysis, Vol 13, No. 4 (2010), 355-360.

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