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Partial sums of a certain harmonic univalent meromorphic functions 一类调和一元亚纯函数的部分和
Journal of Mathematics and Applications Pub Date : 1900-01-01 DOI: 10.7862/RF.2014.1
M. Aouf, R. El-Ashwah, J. Dziok, J. Stankiewicz
{"title":"Partial sums of a certain harmonic univalent meromorphic functions","authors":"M. Aouf, R. El-Ashwah, J. Dziok, J. Stankiewicz","doi":"10.7862/RF.2014.1","DOIUrl":"https://doi.org/10.7862/RF.2014.1","url":null,"abstract":"In the present paper we determine sharp lower bounds of the real part of the ratios of harmonic univalent meromorphic functions to their sequences of partial sums. Let H denote the class of functions f that are harmonic univalent and sense-preserving in U =;fz :jzj > 1g which are of the form","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122442794","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Number of Zeros of a Polynomial (Lacunary-type) in a Disk 磁盘中多项式(Lacunary-type)的零个数
Journal of Mathematics and Applications Pub Date : 1900-01-01 DOI: 10.7862/RF.2018.13
Idrees Qasim, Tawheeda Rasool, A. Liman
{"title":"Number of Zeros of a Polynomial (Lacunary-type) in a Disk","authors":"Idrees Qasim, Tawheeda Rasool, A. Liman","doi":"10.7862/RF.2018.13","DOIUrl":"https://doi.org/10.7862/RF.2018.13","url":null,"abstract":"The problem of finding out the region which contains all or a prescribed number of zeros of a polynomial P (z) := n ∑ j=0 ajz j has a long history and dates back to the earliest days when the geometrical representation of complex numbers was introduced. In this paper, we present certain results concerning the location of the zeros of Lacunarytype polynomials P (z) := a0 + n ∑ j=μ ajz j in a disc centered at the origin.","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"193 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122509100","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Preserving subordination and superordination results of generalized Srivastava-Attiya operator 广义Srivastava-Attiya算子的保留从属和上从属结果
Journal of Mathematics and Applications Pub Date : 1900-01-01 DOI: 10.7862/RF.2013.2
M. Aouf, A. Mostafa, A. M. Shahin, S. Madian
{"title":"Preserving subordination and superordination results of generalized Srivastava-Attiya operator","authors":"M. Aouf, A. Mostafa, A. M. Shahin, S. Madian","doi":"10.7862/RF.2013.2","DOIUrl":"https://doi.org/10.7862/RF.2013.2","url":null,"abstract":"and let A (1) = A. For f ,F ∈ H(U), the function f(z) is said to be subordinate to F (z), or F (z) is superordinate to f(z), if there exists a function ω(z) analytic in U with ω(0) = 0 and |ω(z)| < 1(z ∈ U), such that f(z) = F (ω(z)). In such a case we write f(z) ≺ F (z). If F is univalent, then f(z) ≺ F (z) if and only if f(0) = F (0) and f(U) ⊂ F (U) (see [14] and [15]). Let φ : C×U → C and h (z) be univalent in U. If p (z) is analytic in U and satisfies the first order differential subordination:","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"68 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121123514","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Some new generalized classes of dierence sequences of fuzzy numbers dened by a sequence of Orlicz functions 用Orlicz函数序列表示的模糊数差分序列的一些新的广义类
Journal of Mathematics and Applications Pub Date : 1900-01-01 DOI: 10.7862/RF.2013.8
S. Sharma
{"title":"Some new generalized classes of dierence sequences of fuzzy numbers dened by a sequence of Orlicz functions","authors":"S. Sharma","doi":"10.7862/RF.2013.8","DOIUrl":"https://doi.org/10.7862/RF.2013.8","url":null,"abstract":"Submitted by: Marian Mat loka Abstract: In the present paper we introduce some new generalized classes of dierence sequence spaces of fuzzy numbers dened by a se- quence of Orlicz functions. We also make an eort to study some topolog- ical properties and prove some inclusion relations between these spaces.","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130835901","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Fixed Point Theorems for Monotone Mappings in Ordered Banach Spaces Under Weak Topology Features 弱拓扑特征下有序Banach空间单调映射的不动点定理
Journal of Mathematics and Applications Pub Date : 1900-01-01 DOI: 10.7862/rf.2019.1
A. Alahmari, M. Mabrouk, M. Taoudi
{"title":"Fixed Point Theorems for Monotone Mappings in Ordered Banach Spaces Under Weak Topology Features","authors":"A. Alahmari, M. Mabrouk, M. Taoudi","doi":"10.7862/rf.2019.1","DOIUrl":"https://doi.org/10.7862/rf.2019.1","url":null,"abstract":": We present several fixed point theorems for monotone nonlinear operators in ordered Banach spaces. The main assumptions of our results are formulated in terms of the weak topology. As an application, we study the existence of solutions to a class of first-order vector-valued ordinary differential equations. Our conclusions generalize many well-known results.","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"29 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132251473","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Inequality for Polynomials with Prescribed Zeros 给定零多项式的不等式
Journal of Mathematics and Applications Pub Date : 1900-01-01 DOI: 10.7862/rf.2020.5
V. K. Jain
{"title":"Inequality for Polynomials with Prescribed Zeros","authors":"V. K. Jain","doi":"10.7862/rf.2020.5","DOIUrl":"https://doi.org/10.7862/rf.2020.5","url":null,"abstract":"","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"256 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132822873","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A Companion of the generalized trapezoid inequality and applications 广义梯形不等式的一个伴式及其应用
Journal of Mathematics and Applications Pub Date : 1900-01-01 DOI: 10.7862/RF.2013.1
M. Alomari
{"title":"A Companion of the generalized trapezoid inequality and applications","authors":"M. Alomari","doi":"10.7862/RF.2013.1","DOIUrl":"https://doi.org/10.7862/RF.2013.1","url":null,"abstract":"A sharp companion of the generalized trapezoid inequality is introduced. Applications to quadrature formula are pointed out.","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"294 ","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114095767","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 14
On regulated functions 关于调节函数
Journal of Mathematics and Applications Pub Date : 1900-01-01 DOI: 10.7862/RF.2017.2
Józef Banaś, Mariola Kot
{"title":"On regulated functions","authors":"Józef Banaś, Mariola Kot","doi":"10.7862/RF.2017.2","DOIUrl":"https://doi.org/10.7862/RF.2017.2","url":null,"abstract":": The main purpose of this review article is to present the concept of a regulated function and to indicate the connection of the class of regulated functions with other significant classes of functions. In par-ticular, we give a characterization of regulated functions in terms of step functions and we show that the linear space of regulated functions forms a Banach space under the classical supremum norm.","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"20 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116509791","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 66
Problem with integral condition for evolution equation 演化方程的积分条件问题
Journal of Mathematics and Applications Pub Date : 1900-01-01 DOI: 10.7862/RF.2015.6
P. Kalenyuk, G. Kuduk, I. Kohút, Z. Nytrebych
{"title":"Problem with integral condition for evolution equation","authors":"P. Kalenyuk, G. Kuduk, I. Kohút, Z. Nytrebych","doi":"10.7862/RF.2015.6","DOIUrl":"https://doi.org/10.7862/RF.2015.6","url":null,"abstract":"We propose a method of solving the problem with non- homogeneous integral condition for homogeneous evolution equation with abstract operator in a linear space H. For right-hand side of the integral condition which belongs to the special subspace L H, in which the vec- tors are represented using Stieltjes integrals over a certain measure, the solution of the problem is represented in the form of Stieltjes integral over the same measure.","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132140182","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
On some qualitative properties of integrable solutions for Cauchy-type problem of fractional order 分数阶cauchy型问题可积解的一些定性性质
Journal of Mathematics and Applications Pub Date : 1900-01-01 DOI: 10.7862/RF.2017.8
M. Metwali
{"title":"On some qualitative properties of integrable solutions for Cauchy-type problem of fractional order","authors":"M. Metwali","doi":"10.7862/RF.2017.8","DOIUrl":"https://doi.org/10.7862/RF.2017.8","url":null,"abstract":"Abstract: The paper discusses the existence of solutions for Cauchytype problem of fractional order in the space of Lebesgue integrable functions on bounded interval. Some qualitative properties of solutions are presented such as monotonicity, uniqueness and continuous dependence on the initial data. The main tools used are measure of weak (strong) noncompactness, Darbo fixed point theorem and fractional calculus.","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"20 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121934922","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
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