scholarly journals Some Convexity Properties of Certain General Integral Operators

2012 ◽  
Vol 2012 ◽  
pp. 1-7
Author(s):  
Vasile Marius Macarie ◽  
Daniel Breaz
Keyword(s):  
Integral Operators ◽  
General Integral ◽  
Order Of Convexity ◽  
Convexity Properties

The main object of the present paper is to discuss some extensions of certain integral operators and to obtain their order of convexity. Several other closely related results are also considered.

scholarly journals The order of convexity of some general integral operators

2011 ◽  
Vol 62 (12) ◽  
pp. 4667-4673 ◽  
Author(s):  
Vasile Marius Macarie ◽  
Daniel Breaz
Keyword(s):  
Integral Operators ◽  
General Integral ◽  
Order Of Convexity

scholarly journals Univalence Criteria for some General Integral Operators

2021 ◽  
Vol 29 (1) ◽  
pp. 37-52
Author(s):  
Camelia Bărbatu ◽  
Daniel Breaz
Keyword(s):  
Integral Operators ◽  
General Integral ◽  
Univalence Criteria

Abstract The main object of this paper is to extend the univalent condition for two general integral operators. A number of known univalent condition would follow upon specializing the parameters involved in our main results.

The order of convexity of two p‐valent integral operators

2010 ◽  
Author(s):  
Erhan Deniz ◽  
Murat Çağlar ◽  
Halit Orhan
Keyword(s):  
Integral Operators ◽  
Order Of Convexity

Weighted boundedness for Toeplitz type operator associated to general integral operators

2014 ◽  
Vol 07 (02) ◽  
pp. 1450026
Author(s):  
Lanzhe Liu
Keyword(s):  
Maximal Function ◽  
Integral Operators ◽  
Morrey Spaces ◽  
Type Operator ◽  
Sharp Maximal Function ◽  
Riesz Operator ◽  
Marcinkiewicz Operator ◽  
Bmo Functions ◽  
General Integral ◽  
Toeplitz Type Operator

In this paper, we establish the weighted sharp maximal function estimates for the Toeplitz type operators associated to some integral operators and the weighted Lipschitz and BMO functions. As an application, we obtain the boundedness of the Toeplitz type operators on weighted Lebesgue and Morrey spaces. The operator includes Littlewood–Paley operator, Marcinkiewicz operator and Bochner–Riesz operator.

scholarly journals Convexity of Certainq-Integral Operators ofp-Valent Functions

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
K. A. Selvakumaran ◽  
S. D. Purohit ◽  
Aydin Secer ◽  
Mustafa Bayram
Keyword(s):  
Analytic Functions ◽  
Unit Disc ◽  
Integral Operators ◽  
Special Cases ◽  
Convexity Properties

By applying the concept (and theory) of fractionalq-calculus, we first define and introduce two newq-integral operators for certain analytic functions defined in the unit disc𝒰. Convexity properties of theseq-integral operators on some classes of analytic functions defined by a linear multiplier fractionalq-differintegral operator are studied. Special cases of the main results are also mentioned.

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