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1
Content available remote The special atom space and Haar wavelets in higher dimensions
Kwessi Eddy, Souza de Geraldo, Djitte Ngalla, Ndiaye Mariama
Demonstratio Mathematica
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2020
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Vol. 53, nr 1
131--151
EN
In this note, we will revisit the special atom space introduced in the early 1980s by Geraldo De Souza and Richard O’Neil. In their introductory work and in later additions, the space was mostly studied on the real line. Interesting properties and connections to spacessuch as Orlicz, Lipschitz, Lebesgue, and Lorentz spaces made these spaces ripe for exploration in higherdimensions. In this article, we extend this definition to the plane and space and show that almost all the interesting properties such as their Banach structure, Hölder’s-type inequalities, and duality are preserved. In particular, dual spaces of special atom spaces are natural extension of Lipschitz and generalized Lipschitz spaces of functions in higher dimensions. We make the point that this extension could allow for the study of a wide range of problems including a connection that leads to what seems to be a new definition of Haar functions, Haar wavelets, and wavelets on the plane and on the space.
2
Content available A study on relationship of duct leakage and parameters of ducts in Quang Ninh mine
Phuong Thao Dang, Vu Chi Dang
Inżynieria Mineralna
|
2019
|
R. 21, nr 2/2
183--191
EN
Air leakage of auxiliary ventilation ducting systems is the most common reason for the insufficient fresh air in the working face in underground mine. This value is important design parameter for mine auxiliary ventilation system that operates more effectively, with lower cost. Therefore, determination of air leakage along auxiliary ventilation ducting systems has been examined. Also, factors which affect air leakage in the ducting system have been investigated. Experimental data are made on 0.7 m and 1 m diameter ducts over sections of ducts installing towards the working face in Quang Ninh mine.
3
Content available remote A functionally-analytic method for modeling axial-symmetric flows of ideal fluid
Plaksa Sergiy A.
Demonstratio Mathematica
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2019
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Vol. 52, nr 1
213--224
EN
We consider axial-symmetric stationary flows of the ideal incompressible fluid as an important case of potential solenoid fields. We use an integral expression of the Stokes flow function via the corresponding complex analytic function for solving a boundary value problem with respect to a steady streamline of the ideal incompressible fluid along an axial-symmetric body. We describe the solvability of the problem in terms of the singularities of the mentioned complex analytic function. The obtained results are illustrated by concrete examples of modelling of steady axial-symmetric flows.
4
Content available An upper bound for third Hankel determinant of starlike functions related to shell-like curves connected with Fibonacci numbers
Sokół J., İlhan S., Güney H. Ö.
Journal of Mathematics and Applications
|
2018
|
Vol. 41
195--206
EN
We investigate the third Hankel determinant problem for some starlike functions in the open unit disc, that are related to shell-like curves and connected with Fibonacci numbers. For this, firstly, we prove a conjecture, posed in [17], for sharp upper bound of second Hankel determinant. In the sequel, we obtain another sharp coefficient bound which we apply in solving the problem of the third Hankel determinant for these functions.
5
Content available About a class of analytic functions defined by Noor-Sǎlǎgean integral operator
Engel O., Chung Y. L.
Journal of Mathematics and Applications
|
2016
|
Vol. 39
59--67
EN
In this paper we intoduce a new integral operator as the convolution of the Noor and Salagean integral operators. With this integral operator we define the class CNS(α), where α ϵ [0,1) and we study some properties of this class.
6
Content available On some differential sandwich theorems using an extended generalized Sălăgean operator and extended Ruscheweyh operator
Andrei L.
Journal of Mathematics and Applications
|
2015
|
Vol. 38
33--48
EN
In this work we define a new operator using the extended generalized Sălăgean operator and extended Ruscheweyh operator. Denote by DRm,nλ the Hadamard product of the extended generalized Sălăgean operator Dmλ and extended Ruscheweyh operator Rn, given by DRm,nλ : [...] is the class of normalized analytic functions with [...]. The purpose of this paper is to introduce sufficient conditions for strong differential subordination and strong differential superordination involving the operator DRm,nλ and also to obtain sandwich-type results.
7
Content available Majorization problems for classes of analytic functions
Dziok J., Murugusundaramoorthy G., Janani T
Journal of Mathematics and Applications
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2015
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Vol. 38
49--57
EN
The main object of the present paper is to investigate problems of majorization for certain classes of analytic functions of complex order defined by an operator related to the modified Bessel functions of first kind. These results are obtained by investigating appropriate class of admissible functions. Various known or new special cases of our results are.
8
Content available remote On the zeros of an analytic function
Jain V.
Journal of Mathematics and Applications
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2014
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Vol. 37
51--58
9
Content available remote On differential sandwich theorems of analytic functions defined by certain generalized linear operator
Seoudy T. M., Aouf M. K.
Journal of Mathematics and Applications
|
2014
|
Vol. 37
97--109
EN
In this paper, we obtain some applications of first order differential subordination and superordination results involving certain linear operator and other linear operators for certain normalized analytic functions. Some of our results improve and generalize previously known results.
10
Content available remote Certain subordination results on the convolution of analytic functions
Sharma P., Maurya R. K.
Journal of Mathematics and Applications
|
2014
|
Vol. 37
111--118
EN
In this paper, certain subordination results on the convolution of finite number of analytic functions are derived. Our results include a sufficiency condition for convexity of the convolution of analytic functions fi satisfying [wzór].
11
Content available remote Preserving subordination and superordination results of generalized Srivastava-Attiya operator
Aouf M. K., Mostafa A. O., Shahin A. M., Madian S. M.
Journal of Mathematics and Applications
|
2013
|
Vol. 36
17--26
EN
In this paper, we obtain some subordination and superordination-preserving results of the generalized Srivastava-Attyia operator. Sandwich-type result is also obtained.
12
Content available remote Convolution properties of subclasses of analytic functions associated with the Dziok-Srivastava operator
Goyal S. P., Bansal S. K., Goswami P., Wang Z.-G.
Journal of Mathematics and Applications
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2013
|
Vol. 36
71--77
EN
The aim of this paper is to introduce two new classes of analytic function by using principle of subordination and the Dziok-Srivastava operator. We further investigate convolution properties for these calsses. We also nd necessary and sufficient condition and coefficient estimate for them.
13
Content available remote Coefficient inequalities for certain classes of analytic functions associated with the Wright generalized hypergeometric function
Frasin B. A., Darus M., Al-Hawary T.
Journal of Mathematics and Applications
|
2011
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Vol. 34
27-34
EN
In this paper, we obtain sufficient condition involving coefficient inequalities for f(z) to in the class [...] of analytic functions defined in the open unit disk and satisfying the analytic criterion [...]. Our main result contain some interesting corollaries as special cases.
14
Content available remote On T-neighborhoods of analytic functions
Bednarz U., Sokół J
Journal of Mathematics and Applications
|
2010
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Vol. 32
25-32
15
Content available remote On a starlikeness of order α condition for meromorphic m-valent functions
Catas A.
Journal of Mathematics and Applications
|
2010
|
Vol. 33
5-11
EN
The aim of the paper is to provide sufficient conditions for starlikeness of order α for meromorphic m-valent functions in the punctured disc. The present work is based on some results invoving differential subordinations.
16
Content available remote Generalized classes of uniformly convex functions
Dziok J., Szpila A.
Journal of Mathematics and Applications
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2010
|
Vol. 33
13-26
EN
In this paper we introduce some subclasses of analytic functions with varying argument of coeffcients. These classes are defined in terms of the Hadamard product and generalize the well-known classes of uniformly convex functions. We investigate the coeffcients estimates, distortion properties, radii of starlikeness and convexity for defined classes of functions.
17
Content available remote Applications of a first order differential subordination for analytic functions
Dziok J., Ohriska J.
Journal of Mathematics and Applications
|
2010
|
Vol. 32
39-46
EN
In the paper, we define classes of analytic functions, in terms of subordination. By using Jack's Lemma and the Briot-Bouquet differential subordination we obtain some inclusion relations for defined classes.
18
Content available remote A new class of analytic functions based on Ruscheweyh derivative
Sudharsan T. V., Thirumalaisamy R., Sivasubramanian S., Subramanian K. G.
Journal of Mathematics and Applications
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2010
|
Vol. 33
103-115
EN
In this paper we introduce a new class [formula/wzór] consisting of analytic functions with negative coeffcients and investigate various properties and characterization of the class. The results include coeffcient estimates, distortion theorem, closure theorems and integral operators for the class [formula/wzór]. Also radii of close-to-convexity, starlikeness and convexity are determined.
19
On univalent functions defined by a generalized differential operator
Ibrahim R. W., Darus M.
Journal of Applied Analysis
|
2010
|
Vol. 16, nr 2
305-313
EN
The object of this paper is to derive some inclusion relations regarding a new class by using the generalized differential operator due to the authors.
20
Content available remote On the fast growth of analytic functions by means of Lagrange polynomial approximation and interpolation in CN*
Kumar D.
Fasciculi Mathematici
|
2010
|
Nr 43
85-99
EN
The present paper is concerned with the fast growth of analytic functions in the sets of the form ...[wzór] is the Siciak extremal function of a compact set K) by means of the Lagrange polynomial approximation and interpolation on K having rapidly increasing maximum modulus. To study the precise rates of growth of such functions the concept of index has been used.
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