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The odd Weibull-Topp-Leone-G power series family of distributions: model, properties, and applications 奇数Weibull-Topp-Leone-G幂级数族分布:模型、性质和应用
The Journal of Nonlinear Sciences and Applications Pub Date : 2021-01-13 DOI: 10.22436/JNSA.014.04.06
B. Oluyede, Fastel Chipepa, D. Wanduku
{"title":"The odd Weibull-Topp-Leone-G power series family of distributions: model, properties, and applications","authors":"B. Oluyede, Fastel Chipepa, D. Wanduku","doi":"10.22436/JNSA.014.04.06","DOIUrl":"https://doi.org/10.22436/JNSA.014.04.06","url":null,"abstract":"A new generalization of the odd Weibull-Topp-Leone-G family of distributions called the odd Weibull-Topp-Leone-G power series family of distributions is developed. Statistical properties of the new distribution were derived. We also derive the maximum likelihood estimates of the proposed model. Some special cases for the new family of distributions were also considered. We conducted a simulation study to evaluate the consistency of the maximum likelihood estimates. Two real data examples were also considered to demonstrate the usefulness of the newly proposed family of distributions.","PeriodicalId":22770,"journal":{"name":"The Journal of Nonlinear Sciences and Applications","volume":"28 1","pages":"268-286"},"PeriodicalIF":0.0,"publicationDate":"2021-01-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84215111","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: 5
The Marshall-Olkin-Gompertz-G family of distributions: properties and applications Marshall-Olkin-Gompertz-G族分布:性质和应用
The Journal of Nonlinear Sciences and Applications Pub Date : 2021-01-13 DOI: 10.22436/JNSA.014.04.05
Fastel Chipepa, B. Oluyede
{"title":"The Marshall-Olkin-Gompertz-G family of distributions: properties and applications","authors":"Fastel Chipepa, B. Oluyede","doi":"10.22436/JNSA.014.04.05","DOIUrl":"https://doi.org/10.22436/JNSA.014.04.05","url":null,"abstract":"We develop a new generalized family of the Gompertz-G distribution, namely, the Marshall-Olkin-Gompertz-G distribution. Statistical properties of the new proposed model are presented. Some special cases of the new family of distributions are presented. Maximum likelihood estimates of the model parameters are also determined. A simulation study was conducted to assess the performance of the maximum likelihood estimates. Applications to demonstrate the usefulness of the Marshall-OlkinGompertz-Weibull distribution to real data examples are provided.","PeriodicalId":22770,"journal":{"name":"The Journal of Nonlinear Sciences and Applications","volume":"86 1","pages":"250-267"},"PeriodicalIF":0.0,"publicationDate":"2021-01-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85838891","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: 5
Generalized Kantorovich-Szász type operations involving Charlier polynomials 广义Kantorovich-Szász类型操作涉及查利尔多项式
The Journal of Nonlinear Sciences and Applications Pub Date : 2021-01-05 DOI: 10.22436/JNSA.014.04.04
P. Agrawal, Abhishek Kumar, Aditi Kar Gangopadhyay, Tarul Garg
{"title":"Generalized Kantorovich-Szász type operations involving Charlier polynomials","authors":"P. Agrawal, Abhishek Kumar, Aditi Kar Gangopadhyay, Tarul Garg","doi":"10.22436/JNSA.014.04.04","DOIUrl":"https://doi.org/10.22436/JNSA.014.04.04","url":null,"abstract":"The purpose of this paper is to introduce a new kind of Kantorovich-Szász type operators based on Charlier polynomials and study its various approximation properties. We establish some local direct theorems, e.g., Voronovskaja type asymptotic theorem and an estimate of error by means of the Lipschitz type maximal function and the Peetre’s K-functional. We also discuss the weighted approximation properties. Next, we construct a bivariate case of the above operators and study the degree of approximation with the aid of the complete and partial moduli of continuity. A Voronovskaja type asymptotic theorem and the order of convergence by considering the second order modulus of continuity are also proved. We define the associated Generalized Boolean Sum (GBS) operators and discuss the degree of approximation by using mixed modulus of smoothness for Bögel continuous and Bögel differentiable functions. Furthermore, by means of a numerical example it is shown that the proposed operators provide us a better approximation than the operators corresponding to the particular case ℘ = 1. We also illustrate the convergence of the bivariate operators and the associated GBS operators to a certain function and show that the GBS operators enable us a better error estimation than the bivariate operators using Matlab algorithm.","PeriodicalId":22770,"journal":{"name":"The Journal of Nonlinear Sciences and Applications","volume":"3 1","pages":"222-249"},"PeriodicalIF":0.0,"publicationDate":"2021-01-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80894888","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
a-minimal prime ideals in almost distributive lattices 几乎分配格中的a-极小素理想
The Journal of Nonlinear Sciences and Applications Pub Date : 2021-01-05 DOI: 10.22436/JNSA.014.04.03
C. Raj, K. R. Rao, S. Rao
{"title":"a-minimal prime ideals in almost distributive lattices","authors":"C. Raj, K. R. Rao, S. Rao","doi":"10.22436/JNSA.014.04.03","DOIUrl":"https://doi.org/10.22436/JNSA.014.04.03","url":null,"abstract":"The concept of a-minimal prime ideal of an ADL is introduced and its characterizations are established. The set of all a-minimal prime ideals of an ADL is topologized and resulting space is studied.","PeriodicalId":22770,"journal":{"name":"The Journal of Nonlinear Sciences and Applications","volume":"113 1","pages":"212-221"},"PeriodicalIF":0.0,"publicationDate":"2021-01-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80515031","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
Results on solvability of nonlinear quadratic integral equations of fractional orders in Banach algebra Banach代数中分数阶非线性二次积分方程可解性的结果
The Journal of Nonlinear Sciences and Applications Pub Date : 2020-11-26 DOI: 10.22436/jnsa.014.04.01
S. Al-Issa, N. M. Mawed
{"title":"Results on solvability of nonlinear quadratic integral equations of fractional orders in Banach algebra","authors":"S. Al-Issa, N. M. Mawed","doi":"10.22436/jnsa.014.04.01","DOIUrl":"https://doi.org/10.22436/jnsa.014.04.01","url":null,"abstract":"Here, we investigate the existence result for a nonlinear quadratic functional integral equation of fractional order using a fixed point theorem of Dhage. The continuous dependence of solution on the delay functions will be studied. As an application, an existence theorem for the fractional hybrid differential equations is proved. Also, we study a general quadratic integral equation of fractional order.","PeriodicalId":22770,"journal":{"name":"The Journal of Nonlinear Sciences and Applications","volume":"116 1","pages":"181-195"},"PeriodicalIF":0.0,"publicationDate":"2020-11-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79640602","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: 11
On some new scenario of Δ-spaces 在一些新的情况下Δ-spaces
The Journal of Nonlinear Sciences and Applications Pub Date : 2020-11-19 DOI: 10.22436/jnsa.014.03.05
Dowlath Fathema, A. Ganie
{"title":"On some new scenario of Δ-spaces","authors":"Dowlath Fathema, A. Ganie","doi":"10.22436/jnsa.014.03.05","DOIUrl":"https://doi.org/10.22436/jnsa.014.03.05","url":null,"abstract":"The structure of the Cesàro spaces were investigated by various authors as cited in the text. The scenario of this manuscript is to bring out the spaces C1 ( 4g ) and C∞ [4sg] of Cesàro type for s ∈ N = {0, 1, 2, . . .}. We will study some of their basic topological properties and obtain some inclusion relations concerning these spaces.","PeriodicalId":22770,"journal":{"name":"The Journal of Nonlinear Sciences and Applications","volume":"22 1","pages":"163-167"},"PeriodicalIF":0.0,"publicationDate":"2020-11-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86168270","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: 6
On the stability of a sum form functional equation related to entropies of type (α,β) 与(α，β)型熵相关的和式泛函方程的稳定性
The Journal of Nonlinear Sciences and Applications Pub Date : 2020-11-19 DOI: 10.22436/jnsa.014.03.06
D. Singh, Shveta Grover
{"title":"On the stability of a sum form functional equation related to entropies of type (α,β)","authors":"D. Singh, Shveta Grover","doi":"10.22436/jnsa.014.03.06","DOIUrl":"https://doi.org/10.22436/jnsa.014.03.06","url":null,"abstract":"In this paper, we discuss the stability of the sum form functional equation n ∑ i=1 m ∑ j=1 f(piqj) = n ∑ i=1 g(pi) m ∑ j=1 f(qj) + n ∑ i=1 f(pi) m ∑ j=1 q β j for all complete probability distributions (p1, . . . ,pn) ∈ Γn, (q1, . . . ,qm) ∈ Γm, n > 3, m > 3 are fixed integers, f, g are real valued mappings each having the domain I = [0, 1] and β is a fixed positive real power such that β 6= 1, 0β := 0, 1β := 1.","PeriodicalId":22770,"journal":{"name":"The Journal of Nonlinear Sciences and Applications","volume":"4 1","pages":"168-180"},"PeriodicalIF":0.0,"publicationDate":"2020-11-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73194353","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: 5
Kuratowski measure of noncompactness and integro-differential equations in Banach spaces Banach空间中非紧性的Kuratowski测度与积分-微分方程
The Journal of Nonlinear Sciences and Applications Pub Date : 2020-09-04 DOI: 10.22436/jnsa.014.02.06
Mariam B Traoré, O. Diallo, M. Diop
{"title":"Kuratowski measure of noncompactness and integro-differential equations in Banach spaces","authors":"Mariam B Traoré, O. Diallo, M. Diop","doi":"10.22436/jnsa.014.02.06","DOIUrl":"https://doi.org/10.22436/jnsa.014.02.06","url":null,"abstract":"This paper focuses on the existence of mild solutions in Banach space for a first order semi-linear integro-differential equation. The results are achieved with the fixed-point theorem and Kuratowski measure of noncompactness. We conclude this study with an example to illustrate our findings.","PeriodicalId":22770,"journal":{"name":"The Journal of Nonlinear Sciences and Applications","volume":"52 1","pages":"109-117"},"PeriodicalIF":0.0,"publicationDate":"2020-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91331077","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
Fixed points for a sequence of L -fuzzy mappings in non-Archimedean ordered modified intuitionistic fuzzy metric spaces 非阿基米德有序修正直觉模糊度量空间中L -模糊映射序列的不动点
The Journal of Nonlinear Sciences and Applications Pub Date : 2020-08-18 DOI: 10.22436/jnsa.014.02.05
M. A. Ahmed, Ismat Beg, S. Khafagy, H. A. Nafadi
{"title":"Fixed points for a sequence of L -fuzzy mappings in non-Archimedean ordered modified intuitionistic fuzzy metric spaces","authors":"M. A. Ahmed, Ismat Beg, S. Khafagy, H. A. Nafadi","doi":"10.22436/jnsa.014.02.05","DOIUrl":"https://doi.org/10.22436/jnsa.014.02.05","url":null,"abstract":"In this paper, we obtain sufficient conditions for the existence of fixed points for a sequence of L-fuzzy mappings in a non-Archimedean ordered modified intuitionistic fuzzy metric space. We use contractive conditions of implicit relation. Further, as an application, we also generalize our usual contractive conditions into integral contractive conditions.","PeriodicalId":22770,"journal":{"name":"The Journal of Nonlinear Sciences and Applications","volume":"182 1 1","pages":"97-108"},"PeriodicalIF":0.0,"publicationDate":"2020-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72871582","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: 10
Some new approach of spaces of non-integral order 非积分阶空间的一些新方法
The Journal of Nonlinear Sciences and Applications Pub Date : 2020-07-31 DOI: 10.22436/jnsa.014.02.04
A. Ganie
{"title":"Some new approach of spaces of non-integral order","authors":"A. Ganie","doi":"10.22436/jnsa.014.02.04","DOIUrl":"https://doi.org/10.22436/jnsa.014.02.04","url":null,"abstract":"The aim of this work is to develop the new techniques of sequences by employing the gamma function by introducing the space r(4g, κ) of non-integral order. The completeness property concerning to this non-integral order space will be developed. Many interesting properties will be illustrated.","PeriodicalId":22770,"journal":{"name":"The Journal of Nonlinear Sciences and Applications","volume":"1 1","pages":"89-96"},"PeriodicalIF":0.0,"publicationDate":"2020-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88689911","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: 8
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