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On Some Bounds for the Exponential Integral Function 关于指数积分函数的某些界
Journal of Nepal Mathematical Society Pub Date : 2021-12-17 DOI: 10.3126/jnms.v4i2.41463
K. Nantomah
{"title":"On Some Bounds for the Exponential Integral Function","authors":"K. Nantomah","doi":"10.3126/jnms.v4i2.41463","DOIUrl":"https://doi.org/10.3126/jnms.v4i2.41463","url":null,"abstract":"In 1934, Hopf established an elegant inequality bounding the exponential integral function. In 1959, Gautschi established an improvement of Hopf’s results. In 1969, Luke also established two inequalities with each improving Hopf’s results. In 1997, Alzer also established another improvement of Hopf’s results. In this paper, we provide two new proofs of Luke’s first inequality and as an application of this inequality, we provide a new proof and a generalization of Gautschi’s results. Furthermore, we establish some inequalities which are analogous to Luke’s second inequality and Alzer’s inequality. The techniques adopted in proving our results are simple and straightforward.","PeriodicalId":401623,"journal":{"name":"Journal of Nepal Mathematical Society","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-12-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126435124","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 on Some New Types of Cyclic Contractions and Their Generalization 若干新型循环收缩的不动点定理及其推广
Journal of Nepal Mathematical Society Pub Date : 2021-12-17 DOI: 10.3126/jnms.v4i2.41461
D. R. Joshi, P. Tripathi, C. R. Bhatta
{"title":"Fixed Point Theorems on Some New Types of Cyclic Contractions and Their Generalization","authors":"D. R. Joshi, P. Tripathi, C. R. Bhatta","doi":"10.3126/jnms.v4i2.41461","DOIUrl":"https://doi.org/10.3126/jnms.v4i2.41461","url":null,"abstract":"There are different types of contraction in the existing literature for the generalization of Banach’s contraction principle. Our aim in this paper is to generalize cyclic contraction so that it can explain all types of cyclic contraction as a particular case. Besides all contractions in the existing literature we introduce some new types of cyclic contraction before defining the generalized cyclic contraction.","PeriodicalId":401623,"journal":{"name":"Journal of Nepal Mathematical Society","volume":"599 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-12-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121980750","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
One Solution for Many Linear Partial Differential Equations With Terms of Equal Orders 多项等阶线性偏微分方程的一个解
Journal of Nepal Mathematical Society Pub Date : 2021-12-17 DOI: 10.3126/jnms.v4i2.41462
Lohans de Oliveira Miranda, Lossian Barbosa Bacelar Miranda
{"title":"One Solution for Many Linear Partial Differential Equations With Terms of Equal Orders","authors":"Lohans de Oliveira Miranda, Lossian Barbosa Bacelar Miranda","doi":"10.3126/jnms.v4i2.41462","DOIUrl":"https://doi.org/10.3126/jnms.v4i2.41462","url":null,"abstract":"We disclose a simple and straightforward method of solving single-order linear partial differential equations. The advantage of the method is that it is applicable to any orders and the big disadvantage is that it is restricted to a single order at a time. As it is very easy compared to classical methods, it has didactic value.","PeriodicalId":401623,"journal":{"name":"Journal of Nepal Mathematical Society","volume":"69 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-12-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125829591","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
Lexicographically Maximum Flows under an Arc Interdiction 字典学上最大流量下的弧阻断
Journal of Nepal Mathematical Society Pub Date : 2021-12-17 DOI: 10.3126/jnms.v4i2.41459
Phanindra Prasad Bhandari, S. Khadka
{"title":"Lexicographically Maximum Flows under an Arc Interdiction","authors":"Phanindra Prasad Bhandari, S. Khadka","doi":"10.3126/jnms.v4i2.41459","DOIUrl":"https://doi.org/10.3126/jnms.v4i2.41459","url":null,"abstract":"Network interdiction problem arises when an unwanted agent attacks the network system to deteriorate its transshipment efficiency. Literature is flourished with models and solution approaches for the problem. This paper considers a single commodity lexicographic maximum flow problem on a directed network with capacitated vertices to study two network flow problems under an arc interdiction. In the first, the objective is to find an arc on input network to be destroyed so that the residual lexicographically maximum flow is lexicographically minimum. The second problem aims to find a flow pattern resulting lexicographically maximum flow on the input network so that the total residual flow, if an arc is destroyed, is maximum. The paper proposes strongly polynomial time solution procedures for these problems.","PeriodicalId":401623,"journal":{"name":"Journal of Nepal Mathematical Society","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-12-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129060098","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
Absolute │A; δ │k and │A; γ; δ│k Summability for n-tupled Triangle Matrices 绝对│;δ│k和│A;γ;δ│k n元三角矩阵的可和性
Journal of Nepal Mathematical Society Pub Date : 2020-12-30 DOI: 10.3126/jnms.v3i2.33957
S. Sonker, A. Munjal, L. Mishra
{"title":"Absolute │A; δ │k and │A; γ; δ│k Summability for n-tupled Triangle Matrices","authors":"S. Sonker, A. Munjal, L. Mishra","doi":"10.3126/jnms.v3i2.33957","DOIUrl":"https://doi.org/10.3126/jnms.v3i2.33957","url":null,"abstract":"In this study, new sequence spaces (Ak; δ) & (Ak; γ; δ) have been introduced to establish two theorems on minimal set of the sufficient conditions for a n-tupled triangle T to be a bounded operator on sequence spaces (Ank ; δ) & (Ank ; γ; δ): Generalized summability method │A; δ │k & │A; γ; δ│k have been applied for determining the sufficient conditions, where k ≥ 1; δ ≥ 0 and γ is real number. Further, a set of new and well-known applications has been deduced from the main result under suitable conditions, which shows the importance of the main result.","PeriodicalId":401623,"journal":{"name":"Journal of Nepal Mathematical Society","volume":"36 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129406984","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
Periodic Components of the Fatou Set of Three Transcendental Entire Functions and Their Compositions 三个超越全函数的Fatou集的周期分量及其组成
Journal of Nepal Mathematical Society Pub Date : 2020-11-22 DOI: 10.3126/jnms.v3i1.33002
Bishnu H Subedi, A. Singh
{"title":"Periodic Components of the Fatou Set of Three Transcendental Entire Functions and Their Compositions","authors":"Bishnu H Subedi, A. Singh","doi":"10.3126/jnms.v3i1.33002","DOIUrl":"https://doi.org/10.3126/jnms.v3i1.33002","url":null,"abstract":"We prove that there exist three different transcendental entire functions that can have infinite number of domains which lie in the different periodic component of each of these functions and their compositions.","PeriodicalId":401623,"journal":{"name":"Journal of Nepal Mathematical Society","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-11-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125121061","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
Editorial Vol.3(1) 编辑3 (1)
Journal of Nepal Mathematical Society Pub Date : 2020-11-22 DOI: 10.3126/jnms.v3i1.32995
Chet Raj Bhatta
{"title":"Editorial Vol.3(1)","authors":"Chet Raj Bhatta","doi":"10.3126/jnms.v3i1.32995","DOIUrl":"https://doi.org/10.3126/jnms.v3i1.32995","url":null,"abstract":"No abstract available.","PeriodicalId":401623,"journal":{"name":"Journal of Nepal Mathematical Society","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-11-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123281820","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
Double Integral Inequalities of Hermite-Hadamard-Type for ɸh-Convex Functions on Linear Spaces 线性空间上h-凸函数的hermite - hadamard型二重积分不等式
Journal of Nepal Mathematical Society Pub Date : 2019-12-02 DOI: 10.3126/jnms.v2i2.33006
B. O. Fagbemigun, Adesanmi Alao Mogbademu, J. Olaleru
{"title":"Double Integral Inequalities of Hermite-Hadamard-Type for ɸh-Convex Functions on Linear Spaces","authors":"B. O. Fagbemigun, Adesanmi Alao Mogbademu, J. Olaleru","doi":"10.3126/jnms.v2i2.33006","DOIUrl":"https://doi.org/10.3126/jnms.v2i2.33006","url":null,"abstract":"The concept of Φh-convexity is extended for functions defined on closed Φh-convex subsets of linear spaces. Consequently, some double integral inequalities of Hermite-Hadamard type defined on time-scaled linear spaces are established for Φh-convex functions.","PeriodicalId":401623,"journal":{"name":"Journal of Nepal Mathematical Society","volume":"51 6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-12-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122845623","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
Determination of Phase-Eigenvalues by Rational Factorization and Enhanced Simulation of Two-Phase Mass Flow 合理因子分解法确定两相质量流相特征值及改进模拟
Journal of Nepal Mathematical Society Pub Date : 2019-12-02 DOI: 10.3126/jnms.v2i2.33011
Puskar R. Pokhrel, B. M. Tuladhar
{"title":"Determination of Phase-Eigenvalues by Rational Factorization and Enhanced Simulation of Two-Phase Mass Flow","authors":"Puskar R. Pokhrel, B. M. Tuladhar","doi":"10.3126/jnms.v2i2.33011","DOIUrl":"https://doi.org/10.3126/jnms.v2i2.33011","url":null,"abstract":"In this paper, we present simple and exact eigenvalues for both the solid- and fluid-phases of the real two-phase general model developed by Pudasaini (2012); we call these phase-eigenvalues, the solid- phase-eigenvalues and the fluid-phase-eigenvalues. Results are compared by applying the derived phase- eigenvalues that incorporate the phase-interactions in the two-phase debris movements against the simple and classical solid and fluid eigenvalues without any phase interaction. We have constructed several different set of eigenvalues including the coupled phase eigenvalues by using rational factorization method. At first, we consider for general debris height; factorizing the solid and fluid lateral pressure contributions by considering the negligible pressure gradient; negligible solid lateral pressure; negligible fluid lateral pressure; negligible solid and fluid lateral pressure. Secondly, for a thin debris ow height, we also construct the fourth set of eigenvalues in three different cases. These phase-eigenvalues incorporate strong interaction between the solid and fluid dynamics. The simulation results are produced by taking all these different sets of coupled phase-eigenvalues and are compared with the classical uncoupled set of solid and fluid eigenvalues. The results indicate the importance of phase-eigenvalues and supports for a complete description of the phase- eigenvalues for the enhanced description of real two-phase debris flows and landslide motions.","PeriodicalId":401623,"journal":{"name":"Journal of Nepal Mathematical Society","volume":"199 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-12-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126843137","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
An Ecological Model for Sustainable Forest Management of Eco-system Based on Optimal Control Theory 基于最优控制理论的生态系统森林可持续经营生态模型
Journal of Nepal Mathematical Society Pub Date : 2019-03-31 DOI: 10.3126/jnms.v2i1.33014
M. Hasan, M. H. A. Biswas, M. Uddin
{"title":"An Ecological Model for Sustainable Forest Management of Eco-system Based on Optimal Control Theory","authors":"M. Hasan, M. H. A. Biswas, M. Uddin","doi":"10.3126/jnms.v2i1.33014","DOIUrl":"https://doi.org/10.3126/jnms.v2i1.33014","url":null,"abstract":"Sustainable forest management is one of the challenging issues in the present century. In this manuscript, we have employed the model of control theory to control the consequence of toxicity and illegal logging of mature trees in the ecosystem of Sundarban, the largest mangrove forest in the world. In this investigation, we have momentarily mentioned some of the fields in which these challenges are present. These fields especially consist of sustainable forest management of ecosystem. We have reflected on the modified Leslie-Gower response function to set up as the alternative resource for industries when forestry resources are devastated. The boundedness, persistence, equilibria and stability are examined along with bionomic equilibria and optimal harvesting strategy. Our main aim is to investigate the spans and applications of control theory in real life situation, especially in efficient and sustainable forest growth.","PeriodicalId":401623,"journal":{"name":"Journal of Nepal Mathematical Society","volume":"39 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114275559","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
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