<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In the present paper we introduce sufficient conditions for subordination and superordination involving the operator <inline-formula><alternatives><inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/j_auom-2015-0003_eq_g001.png"></inline-graphic><math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><msubsup><mi mathvariant="italic">DR</mi><mo>λ</mo><mrow><mi>m</mi><mo>,</mo><mi>n</mi></mrow></msubsup></math><tex-math>$DR_\lambda ^{m,n} $</tex-math></alternatives></inline-formula> and also we obtain sandwich-type results.</p></abstract>

In the present paper we introduce sufficient conditions for subordination and superordination involving the operator DRλm,n$DR_\lambda ^{m,n} $ and also we obtain sandwich-type results.

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

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

In the present paper we introduce sufficient conditions for subordination and superordination involving the operator DRλm,n$DR_\lambda ^{m,n} $ and also we...

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

Published Online: Apr 04, 2017

Page range: 37 - 52

Received: May 05, 2014

Accepted: Jun 29, 2014

DOI: https://doi.org/10.1515/auom-2015-0003

Keywords
analytic functions, differential operator, differential subordination, differential superordination

© 2015 Andrei Loriana, published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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

Published Online: Apr 04, 2017

Page range: 37 - 52

Received: May 05, 2014

Accepted: Jun 29, 2014

DOI: https://doi.org/10.1515/auom-2015-0003

Keywordsanalytic functions, differential operator, differential subordination, differential superordination

© 2015 Andrei Loriana, published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
analytic functions, differential operator, differential subordination, differential superordination