Results 1 to 10 of about 85 (67)

Best Subordinant for Differential Superordinations of Harmonic Complex-Valued Functions [PDF]

Mathematics, 2020
The theory of differential subordinations has been extended from the analytic functions to the harmonic complex-valued functions in 2015. In a recent paper published in 2019, the authors have considered the dual problem of the differential subordination ...
Georgia Irina Oros
doaj   +5 more sources

Applications of the Fractional Calculus in Fuzzy Differential Subordinations and Superordinations

Mathematics, 2021
The fractional integral of confluent hypergeometric function is used in this paper for obtaining new applications using concepts from the theory of fuzzy differential subordination and superordination.
Alina Alb Lupaş
doaj   +4 more sources

New Developments on the Theory of Third-Order Differential Superordination Involving Gaussian Hypergeometric Function

Mathematics, 2023
The present research aims to present new results regarding the fundamental problem of providing sufficient conditions for finding the best subordinant of a third-order differential superordination. A theorem revealing such conditions is first proved in a
Georgia Irina Oros, Lavinia Florina Preluca   +1 more
doaj   +4 more sources

Strong Differential Superordination Results Involving Extended Sălăgean and Ruscheweyh Operators

Mathematics, 2021
The notion of strong differential subordination was introduced in 1994 and the theory related to it was developed in 2009. The dual notion of strong differential superordination was also introduced in 2009.
Alina Alb Lupaş, Georgia Irina Oros
doaj   +4 more sources

Introducing the Third-Order Fuzzy Superordination Concept and Related Results

Mathematics
Third-order fuzzy differential subordination studies were recently initiated by developing the main concepts necessary for obtaining new results on this topic.
Georgia Irina Oros, Simona Dzitac, Daniela Andrada Bardac-Vlada   +2 more
doaj   +4 more sources

Application on Fuzzy Third-Order Subordination and Superordination Connected with Lommel Function

Mathematics
This work is based on the recently introduced concepts of third-order fuzzy differential subordination and its dual, third-order fuzzy differential superordination.
Ekram E. Ali, Georgia Irina Oros, Rabha M. El-Ashwah, Abeer M. Albalahi   +3 more
doaj   +4 more sources

Best Dominants and Subordinants for Certain Sandwich-Type Theorems [PDF]

Symmetry, 2022
In this paper, we aim to present a survey on subordination and superordination theorems related to the class of analytic functions defined in a symmetric domain, which is the open unit disc. The results were deduced by making use of a new differential operator.
Loredana Florentina Iambor, Adriana Cătaş, Emilia Borsa   +2 more
exaly   +2 more sources

Strong Differential Subordinations and Superordinations for Riemann–Liouville Fractional Integral of Extended q-Hypergeometric Function

Mathematics, 2023
The notions of strong differential subordination and its dual, strong differential superordination, have been introduced as extensions of the classical differential subordination and superordination concepts, respectively.
Alina Alb Lupaş, Georgia Irina Oros
doaj   +2 more sources

Applications of Confluent Hypergeometric Function in Strong Superordination Theory

Axioms, 2022
In the research presented in this paper, confluent hypergeometric function is embedded in the theory of strong differential superordinations. In order to proceed with the study, the form of the confluent hypergeometric function is adapted taking into ...
Georgia Irina Oros, Gheorghe Oros, Ancuța Maria Rus   +2 more
doaj   +3 more sources

Fuzzy Differential Inequalities for Convolution Product of Ruscheweyh Derivative and Multiplier Transformation

Axioms, 2023
In this paper, the author combines the geometric theory of analytic function regarding differential superordination and subordination with fuzzy theory for the convolution product of Ruscheweyh derivative and multiplier transformation.
Alina Alb Lupaş
doaj   +3 more sources