The Experts below are selected from a list of 4737 Experts worldwide ranked by ideXlab platform
Rabha W. Ibrahim - One of the best experts on this subject based on the ideXlab platform.
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A NEW SYMMETRIC DIFFERENTIAL OPERATOR OF NORMALIZED FUNCTIONS WITH APPLICATIONS IN IMAGE PROCESSING
Journal of Fundamental and Applied Sciences, 2020Co-Authors: Rabha W. IbrahimAbstract:Recently, a symmetric differential operator (SDO) is attracted to studying in the field of mathematical analysis. A new formal of SDO is presented to generalize some well known differential operators in a complex domain. According to this formulation, we shall exam the boundedness and compactness of this operator in complex spaces, such as Hilbert space and Sobolev space. For this purpose, we suggest new norms to solve the fractional Beltrami equation in the Open Unit Disk. This operator has ability to depict the analytic geometric representation of the solution of second order differential equation utilizing the concept of Schwarzian derivative in the Open Unit Disk. Applications in imagings are given the sequel.
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Operator Inequalities Involved Wiener–Hopf Problems in the Open Unit Disk
Differential and Integral Inequalities, 2019Co-Authors: Rabha W. IbrahimAbstract:In this effort, we employ some of the linear differential inequalities to achieve integral inequalities of the type Wiener–Hopf problems (WHP). We utilize the concept of subordination and its applications to gain linear integral operators in the Open Unit Disk that preserve two classes of analytic functions with a positive real part. Linear second-order differential inequalities play a significant role in the field of complex differential equations. Our study is based on a neighborhood containing the origin. Therefore, the Wiener–Hopf problem is decomposed around the origin in the Open Unit Disk using two different classes of analytic functions. Moreover, we suggest a generalization for WHP by utilizing some classes of entire functions. Special cases are given in the sequel as well. A necessary and sufficient condition for WHP to be averaging operator on a convex domain (in the Open Unit Disk) is given by employing the subordination relation (inequality).
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new symmetric differential and integral operators defined in the complex domain
Symmetry, 2019Co-Authors: Rabha W. Ibrahim, Maslina DarusAbstract:The symmetric differential operator is a generalization operating of the well-known ordinary derivative. These operators have advantages in boundary value problems, statistical studies and spectral theory. In this effort, we introduce a new symmetric differential operator (SDO) and its integral in the Open Unit Disk. This operator is a generalization of the Salagean differential operator. Our study is based on geometric function theory and its applications in the Open Unit Disk. We formulate new classes of analytic functions using SDO depending on the symmetry properties. Moreover, we define a linear combination operator containing SDO and the Ruscheweyh derivative. We illustrate some inclusion properties and other inequalities involving SDO and its integral.
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operator inequalities involved wiener hopf problems in the Open Unit Disk
2019Co-Authors: Rabha W. IbrahimAbstract:In this effort, we employ some of the linear differential inequalities to achieve integral inequalities of the type Wiener–Hopf problems (WHP). We utilize the concept of subordination and its applications to gain linear integral operators in the Open Unit Disk that preserve two classes of analytic functions with a positive real part. Linear second-order differential inequalities play a significant role in the field of complex differential equations. Our study is based on a neighborhood containing the origin. Therefore, the Wiener–Hopf problem is decomposed around the origin in the Open Unit Disk using two different classes of analytic functions. Moreover, we suggest a generalization for WHP by utilizing some classes of entire functions. Special cases are given in the sequel as well. A necessary and sufficient condition for WHP to be averaging operator on a convex domain (in the Open Unit Disk) is given by employing the subordination relation (inequality).
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Regular classes involving a generalized shift plus fractional Hornich integral operator
Boletim da Sociedade Paranaense de Matemática, 2018Co-Authors: Rabha W. IbrahimAbstract:The Hornich space is the set of all locally univalent and analytic functions A on the Open Unit Disk such that argA0 is bounded. Here, we introduce a generalized integral operator in the Open Unit Disk. This operator is dened by the fractional Hornich integral operator joining the shift plus multiplier. In addition, we deal with a new subspace of the Hardy space comprising the normalized analytic functions. We will validate that the new integral operator is closed in the subspace of normalized functions with the bounded rst derivative. Formal accounts are renowned in the sequel based on the maximally of Jack Lemma.
Daniel Breaz - One of the best experts on this subject based on the ideXlab platform.
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On conditions for univalence of some integral operators
Hacettepe Journal of Mathematics and Statistics, 2016Co-Authors: Daniel Breaz, Virgil PescarAbstract:In this paper, we obtain new univalence conditions for the integral operators $F_{[|\delta|]}(z)$ and $G_{[|\delta|]}(z)$ of analytic functions defined in the Open Unit Disk.
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On An Integral Operator
Analele Universitatii "Ovidius" Constanta - Seria Matematica, 2014Co-Authors: Virgil Pescar, Daniel BreazAbstract:Abstract In this paper we define a general integral operator for analytic functions in the Open Unit Disk and we determine some conditions for univalence of this integral operator.
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Univalence Criteria for Two Integral Operators
Abstract and Applied Analysis, 2012Co-Authors: Laura Stanciu, Daniel BreazAbstract:We study the univalence conditions for two integral operators to be univalent in the Open Unit Disk. Many known univalence conditions are written to prove our main results.
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On an integral operator
Applied Mathematics Letters, 2010Co-Authors: Virgil Pescar, Daniel BreazAbstract:In this paper we derive some criteria for univalence of a general integral operator for analytic functions in the Open Unit Disk.
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A Convexity Property for an Integral Operator on the Class
Journal of Inequalities and Applications, 2008Co-Authors: Daniel BreazAbstract:We consider an integral operator, , for analytic functions, , in the Open Unit Disk, . The object of this paper is to prove the convexity properties for the integral operator , on the class .
Virgil Pescar - One of the best experts on this subject based on the ideXlab platform.
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On conditions for univalence of some integral operators
Hacettepe Journal of Mathematics and Statistics, 2016Co-Authors: Daniel Breaz, Virgil PescarAbstract:In this paper, we obtain new univalence conditions for the integral operators $F_{[|\delta|]}(z)$ and $G_{[|\delta|]}(z)$ of analytic functions defined in the Open Unit Disk.
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On An Integral Operator
Analele Universitatii "Ovidius" Constanta - Seria Matematica, 2014Co-Authors: Virgil Pescar, Daniel BreazAbstract:Abstract In this paper we define a general integral operator for analytic functions in the Open Unit Disk and we determine some conditions for univalence of this integral operator.
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Kudriasov Type Univalence Criteria for Some Integral Operators
Abstract and Applied Analysis, 2013Co-Authors: Virgil Pescar, Nicoleta BreazAbstract:We consider some integral operators defined by analytic functions in the Open Unit Disk and derive new univalence criteria for these operators, using Kudriasov condition for a function to be univalent.
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On an integral operator
Applied Mathematics Letters, 2010Co-Authors: Virgil Pescar, Daniel BreazAbstract:In this paper we derive some criteria for univalence of a general integral operator for analytic functions in the Open Unit Disk.
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Some criteria for univalence of certain integral operators
International Journal of Mathematics and Mathematical Sciences, 2004Co-Authors: Virgil Pescar, Shigeyoshi OwaAbstract:We derive some criteria for univalence of certain integral operators for analytic functions in the Open Unit Disk.
Shigeyoshi Owa - One of the best experts on this subject based on the ideXlab platform.
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Majorization Problems for Certain Analytic Functions
2008Co-Authors: Yasunori Hashidume, Shigeyoshi OwaAbstract:A subclass A(, ,j ) of certain analytic functions in the Open Unit Disk U is introduced. For the class A(, ,j ), a ma
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Some criteria for univalence of certain integral operators
International Journal of Mathematics and Mathematical Sciences, 2004Co-Authors: Virgil Pescar, Shigeyoshi OwaAbstract:We derive some criteria for univalence of certain integral operators for analytic functions in the Open Unit Disk.
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SUBORDINATION CHAINS AND UNIVALENCE CRITERIA
Bulletin of the Korean Mathematical Society, 2003Co-Authors: Nicolae N. Pascu, Dorina Raducanu, Shigeyoshi OwaAbstract:The object of the present paper is to give an univalence condition for analytic functions in the Open Unit Disk U by using the properties for subordination chains.
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On Certain Conditions for Starlikeness
Southeast Asian Bulletin of Mathematics, 2002Co-Authors: Mamoru Nunokawa, Shigeyoshi OwaAbstract:The object of the present paper is to consider a sufficient condition for analytic functions in the Open Unit Disk to be strongly starlike of order α.
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PARTIAL SUMS OF CERTAIN ANALYTIC FUNCTIONS
International Journal of Mathematics and Mathematical Sciences, 2001Co-Authors: Shigeyoshi OwaAbstract:The object of the present paper is to consider the starlikeness and convexity of partial sums of certain analytic functions in the Open Unit Disk.
B. A. Frasin - One of the best experts on this subject based on the ideXlab platform.
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Sufficient conditions for starlikeness of reciprocal order
European Journal of Pure and Applied Mathematics, 2017Co-Authors: B. A. Frasin, Mustafa A. SabriAbstract:The object of the present paper is to derive certain sufficient conditions for starlikeness of reciprocal order of analytic functions in the Open Unit Disk.
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Starlikeness and Subordination of Two Integral Operators
Thai Journal of Mathematics, 2012Co-Authors: B. A. Frasin, B.s. Keerthi, V. G. Shanthi, B.a. StephenAbstract:In this paper, we consider some sufficient conditions for two integral operators to be starlike in the Open Unit Disk.
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Subordination results of certain analytic functions 1
2012Co-Authors: B. A. Frasin, Abu-saleem AhmadAbstract:In this paper, we obtain some subordination results for two integral operators dened in the Open Unit Disk.
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Univalence of two general integral operators
Filomat, 2009Co-Authors: B. A. FrasinAbstract:In this paper, we give some sufficient conditions for general two integral operators to be univalent in the Open Unit Disk.
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SOME SUFFICIENT CONDITIONS FOR CERTAIN INTEGRAL OPERATORS
Journal of Mathematical Inequalities, 2008Co-Authors: B. A. FrasinAbstract:In this paper, we consider some sufficient conditions for two integral operators to be starlike, close-to-convex and uniformly convex functions defined in the Open Unit Disk.
