We compare the best approximations of holomorphic functions in the Hardy space H1 by algebraic polynomials and trigonometric polynomials. Particulary, we establish a class of functions f ∈ H1 for which the best trigonometric approximation do not coincide with the best algebraic approximation.
{"title":"Comparison of the best approximation of holomorphic functions from Hardy space","authors":"F. Abdullayev, V. Savchuk, D. Şi̇mşek","doi":"10.22436/JNSA.012.07.01","DOIUrl":"https://doi.org/10.22436/JNSA.012.07.01","url":null,"abstract":"We compare the best approximations of holomorphic functions in the Hardy space H1 by algebraic polynomials and trigonometric polynomials. Particulary, we establish a class of functions f ∈ H1 for which the best trigonometric approximation do not coincide with the best algebraic approximation.","PeriodicalId":48799,"journal":{"name":"Journal of Nonlinear Sciences and Applications","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-03-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78604864","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}
The purpose of this article is to define Dass and Gupta’s contraction in the context of F-metric spaces and obtain some new fixed point theorems to elaborate, generalize and synthesize several known results in the literature including Jleli and Samet [M. Jleli, B. Samet, J. Fixed Point Theory Appl., 20 (2018), 20 pages] and Dass and Gupta [B. K. Dass, S. Gupta, Indian J. Pure Appl. Math., 6 (1975), 1455–1458]. Also we have provided a non trivial example to validate our main result.
{"title":"Dass and Gupta's fixed point theorem in F-metric spaces","authors":"Durdana Lateef, Jamshaid Ahmad","doi":"10.22436/JNSA.012.06.06","DOIUrl":"https://doi.org/10.22436/JNSA.012.06.06","url":null,"abstract":"The purpose of this article is to define Dass and Gupta’s contraction in the context of F-metric spaces and obtain some new fixed point theorems to elaborate, generalize and synthesize several known results in the literature including Jleli and Samet [M. Jleli, B. Samet, J. Fixed Point Theory Appl., 20 (2018), 20 pages] and Dass and Gupta [B. K. Dass, S. Gupta, Indian J. Pure Appl. Math., 6 (1975), 1455–1458]. Also we have provided a non trivial example to validate our main result.","PeriodicalId":48799,"journal":{"name":"Journal of Nonlinear Sciences and Applications","volume":"22 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-03-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77762310","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}
Let E be a reflexive smooth and strictly convex real Banach space. Let F : E → 2E and K : E∗ → E be bounded maximal monotone mappings such that D(F) = E and R(F) = D(K) = E∗. Suppose that the Hammerstein inclusion 0 ∈ u+ KFu has a solution in E. We present in this paper a new algorithm for approximating solutions of the inclusion 0 ∈ u+ KFu. Then we prove strong convergence theorems. Our theorems improve and unify most of the results that have been proved in this direction for this important class of nonlinear mappings. Furthermore, our technique of proof is of independent interest.
{"title":"Algorithms for Hammerstein inclusions in certain Banach spaces","authors":"M. Sene, M. Ndiaye, N. Djitté","doi":"10.22436/JNSA.012.06.05","DOIUrl":"https://doi.org/10.22436/JNSA.012.06.05","url":null,"abstract":"Let E be a reflexive smooth and strictly convex real Banach space. Let F : E → 2E and K : E∗ → E be bounded maximal monotone mappings such that D(F) = E and R(F) = D(K) = E∗. Suppose that the Hammerstein inclusion 0 ∈ u+ KFu has a solution in E. We present in this paper a new algorithm for approximating solutions of the inclusion 0 ∈ u+ KFu. Then we prove strong convergence theorems. Our theorems improve and unify most of the results that have been proved in this direction for this important class of nonlinear mappings. Furthermore, our technique of proof is of independent interest.","PeriodicalId":48799,"journal":{"name":"Journal of Nonlinear Sciences and Applications","volume":"205 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-02-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77488517","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}
We construct sufficient conditions for existence of extremal solutions to boundary value problem (BVP) of nonlinear fractional order differential equations (NFDEs). By combing the method of lower and upper solution with the monotone iterative technique, we construct sufficient conditions for the iterative solutions to the problem under consideration. Some proper results related to Hyers-Ulam type stability are investigated. Base on the proposed method, we construct minimal and maximal solutions for the proposed problem. We also construct and provide maximum error estimates and test the obtain results by two examples.
{"title":"Stable monotone iterative solutions to a class of boundary value problems of nonlinear fractional order differential equations","authors":"Sajjad Ali, M. Arif, Durdana Lateef, M. Akram","doi":"10.22436/JNSA.012.06.04","DOIUrl":"https://doi.org/10.22436/JNSA.012.06.04","url":null,"abstract":"We construct sufficient conditions for existence of extremal solutions to boundary value problem (BVP) of nonlinear fractional order differential equations (NFDEs). By combing the method of lower and upper solution with the monotone iterative technique, we construct sufficient conditions for the iterative solutions to the problem under consideration. Some proper results related to Hyers-Ulam type stability are investigated. Base on the proposed method, we construct minimal and maximal solutions for the proposed problem. We also construct and provide maximum error estimates and test the obtain results by two examples.","PeriodicalId":48799,"journal":{"name":"Journal of Nonlinear Sciences and Applications","volume":"2 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90149286","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}
This paper is concerned with the dissipativity and stability of the theoretical solutions of a class of nonlinear multiple time delay integro-differential equations. At the first, we give a generalized Halanay inequality which plays an important role in the study of dissipativity and stability of integro-differential equations. Then, we apply the generalized Halanay inequality to the dissipativity and the stability the theoretical solution of delay integro-differential equations (or by small perturbed) and some interesting results are obtained. Our results generalize a few previous known results. Finally, two examples are provided to demonstrated the effectiveness and advantage of the theoretical results.
{"title":"Dissipativity and stability of a class of nonlinear multiple time delay integro-differential equations","authors":"Chaolong Zhang, F. Deng, Haoyi Mo, Hongwei Ren","doi":"10.22436/JNSA.012.06.03","DOIUrl":"https://doi.org/10.22436/JNSA.012.06.03","url":null,"abstract":"This paper is concerned with the dissipativity and stability of the theoretical solutions of a class of nonlinear multiple time delay integro-differential equations. At the first, we give a generalized Halanay inequality which plays an important role in the study of dissipativity and stability of integro-differential equations. Then, we apply the generalized Halanay inequality to the dissipativity and the stability the theoretical solution of delay integro-differential equations (or by small perturbed) and some interesting results are obtained. Our results generalize a few previous known results. Finally, two examples are provided to demonstrated the effectiveness and advantage of the theoretical results.","PeriodicalId":48799,"journal":{"name":"Journal of Nonlinear Sciences and Applications","volume":"17 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73470942","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}
{"title":"Strong convergence theorems for mixed equilibrium problems and uniformly Bregman totally quasi-asymptotically nonexpansive mappings in reflexive Banach spaces","authors":"Kittisak Jantakarn, A. Kaewcharoen","doi":"10.22436/JNSA.012.06.02","DOIUrl":"https://doi.org/10.22436/JNSA.012.06.02","url":null,"abstract":"","PeriodicalId":48799,"journal":{"name":"Journal of Nonlinear Sciences and Applications","volume":"31 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-01-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78807429","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}
L. Alnaser, Durdana Lateef, Hoda A. Fouad, Jamshaid Ahmad
Jleli and Samet in [M. Jleli, B. Samet, J. Fixed Point Theory Appl., 20 (2018), 20 pages] introduced a new metric space named as F-metric space. They presented a new version of the Banach contraction principle in the context of this generalized metric spaces. The aim of this article is to define relation theoretic contraction and prove some generalized fixed point theorems in F-metric spaces. Our results extend, generalize, and unify several known results in the literature.
{"title":"Relation theoretic contraction results in F-metric spaces","authors":"L. Alnaser, Durdana Lateef, Hoda A. Fouad, Jamshaid Ahmad","doi":"10.22436/JNSA.012.05.06","DOIUrl":"https://doi.org/10.22436/JNSA.012.05.06","url":null,"abstract":"Jleli and Samet in [M. Jleli, B. Samet, J. Fixed Point Theory Appl., 20 (2018), 20 pages] introduced a new metric space named as F-metric space. They presented a new version of the Banach contraction principle in the context of this generalized metric spaces. The aim of this article is to define relation theoretic contraction and prove some generalized fixed point theorems in F-metric spaces. Our results extend, generalize, and unify several known results in the literature.","PeriodicalId":48799,"journal":{"name":"Journal of Nonlinear Sciences and Applications","volume":"5 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-01-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81581114","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}
In this paper we discuss essential maps and the topological transversality theorem for maps admissible with respect to Gorniewicz.
本文讨论了关于Gorniewicz可容许映射的本质映射和拓扑截性定理。
{"title":"A note on the topological transversality theorem for the admissible maps of Gorniewicz","authors":"D. O’Regan","doi":"10.22436/JNSA.012.06.01","DOIUrl":"https://doi.org/10.22436/JNSA.012.06.01","url":null,"abstract":"In this paper we discuss essential maps and the topological transversality theorem for maps admissible with respect to Gorniewicz.","PeriodicalId":48799,"journal":{"name":"Journal of Nonlinear Sciences and Applications","volume":"97 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-01-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76609821","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}
T. H. Abouelmagd, M. S. Hamed, G. Hamedani, M. M. Ali, H. Goual, M. C. Korkmaz, H. Yousof
The goal of this work is to introduce a new family of continuous distributions with a strong physical applications. Some statistical properties are derived, and certain useful characterizations of the proposed family of distributions are presented. Five applications are provided to illustrate the importance of the new family. A modified goodness-offit test for the new family in complete data case are investigated via two examples. We propose, as a first step, the construction of Nikulin-Rao-Robson statistic based on chi-squared fit tests for the new family in the case of complete data. The new test is based on the Nikulin-RaoRobson statistic separately proposed by [M. S. Nikulin, Theory Probab. Appl., 18 (1974), 559–568] and [K. C. Rao, B. S. Robson, Comm. Statist., 3 (1974), 1139–1153]. As a second step, an application to real data has been proposed to show the applicability of the proposed test.
这项工作的目标是引入一个具有强大物理应用程序的新的连续发行系列。得到了一些统计性质，并给出了所提出的分布族的一些有用的特征。提供了五个应用来说明新家庭的重要性。通过两个算例，研究了新族在完全数据情况下的修正优度检验。作为第一步，我们提出在完整数据的情况下，基于卡方拟合检验构建新家族的Nikulin-Rao-Robson统计量。新的检验是基于Nikulin-RaoRobson统计量单独提出的[M。S.尼库林《概率论》达成。科学通报，18(1974)，559-568]。C. Rao, B. S. Robson，通讯统计学家。环境科学，3(1974)，1139-1153]。作为第二步，提出了一个实际数据的应用，以证明所提出的测试的适用性。
{"title":"The zero truncated Poisson Burr X family of distributions with properties, characterizations, applications, and validation test","authors":"T. H. Abouelmagd, M. S. Hamed, G. Hamedani, M. M. Ali, H. Goual, M. C. Korkmaz, H. Yousof","doi":"10.22436/jnsa.012.05.05","DOIUrl":"https://doi.org/10.22436/jnsa.012.05.05","url":null,"abstract":"The goal of this work is to introduce a new family of continuous distributions with a strong physical applications. Some statistical properties are derived, and certain useful characterizations of the proposed family of distributions are presented. Five applications are provided to illustrate the importance of the new family. A modified goodness-offit test for the new family in complete data case are investigated via two examples. We propose, as a first step, the construction of Nikulin-Rao-Robson statistic based on chi-squared fit tests for the new family in the case of complete data. The new test is based on the Nikulin-RaoRobson statistic separately proposed by [M. S. Nikulin, Theory Probab. Appl., 18 (1974), 559–568] and [K. C. Rao, B. S. Robson, Comm. Statist., 3 (1974), 1139–1153]. As a second step, an application to real data has been proposed to show the applicability of the proposed test.","PeriodicalId":48799,"journal":{"name":"Journal of Nonlinear Sciences and Applications","volume":"32 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-01-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79002927","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}
Enayat M. Abd Elrazika, Mahmoud M. Mansourb, E. A. Elrazik, Mohammad M. Mansour
There are many systems that can handle a mix of series-parallel or parallel-series systems. Here, a new three-parameter distribution motivated mainly by dealing with series-parallel or parallel-series systems is introduced. Moments, conditional moments, mean deviations, moment generating function, quantile, Lorenz, and Bonferroni curves of the new distribution including are presented. Entropy measures are given and estimation of its parameters is studied. Two real data applications are described to show its superior performance versus some known lifetime models.
{"title":"A new generated distribution to analyze a practical engineering problem and applications","authors":"Enayat M. Abd Elrazika, Mahmoud M. Mansourb, E. A. Elrazik, Mohammad M. Mansour","doi":"10.22436/jnsa.012.07.05","DOIUrl":"https://doi.org/10.22436/jnsa.012.07.05","url":null,"abstract":"There are many systems that can handle a mix of series-parallel or parallel-series systems. Here, a new three-parameter distribution motivated mainly by dealing with series-parallel or parallel-series systems is introduced. Moments, conditional moments, mean deviations, moment generating function, quantile, Lorenz, and Bonferroni curves of the new distribution including are presented. Entropy measures are given and estimation of its parameters is studied. Two real data applications are described to show its superior performance versus some known lifetime models.","PeriodicalId":48799,"journal":{"name":"Journal of Nonlinear Sciences and Applications","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89597610","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}
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