{"title":"Fuzzy Modules over a T-Norm","authors":"R. Rasuli","doi":"10.12816/0033740","DOIUrl":"https://doi.org/10.12816/0033740","url":null,"abstract":"","PeriodicalId":210748,"journal":{"name":"International Journal of Open Problems in Computer Science and Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2016-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116377080","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":"On (β, α) - Logarithmically Convex Functions in the First and Second Sense with Their Inequalities","authors":"Abdullah Açikel, Mevlut Tunc","doi":"10.12816/0033920","DOIUrl":"https://doi.org/10.12816/0033920","url":null,"abstract":"","PeriodicalId":210748,"journal":{"name":"International Journal of Open Problems in Computer Science and Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2016-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126549840","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}
Weber’s inhomogeneous differential equation is analyzed and solved in this work when initial and boundary data are given. In the process, a new parametric function that represents an extension to the Nield-Kuznetsov function is introduced.
{"title":"Weber's Inhomogeneous Differential Equation with Initial and Boundary Conditions","authors":"M. A. Zaytoon, T. Alderson, M. Hamdan","doi":"10.12816/0033917","DOIUrl":"https://doi.org/10.12816/0033917","url":null,"abstract":"Weber’s inhomogeneous differential equation is analyzed and solved in this work when initial and boundary data are given. In the process, a new parametric function that represents an extension to the Nield-Kuznetsov function is introduced.","PeriodicalId":210748,"journal":{"name":"International Journal of Open Problems in Computer Science and Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2016-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126514675","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 present some new results of symmetric derivative on time scales by using induction.
本文利用归纳法给出了时间尺度上对称导数的一些新结果。
{"title":"Some New Results of Symmetric Derivative on Time Scales","authors":"L. Yin, Li-Guo Huang","doi":"10.12816/0033918","DOIUrl":"https://doi.org/10.12816/0033918","url":null,"abstract":"In this paper, we present some new results of symmetric derivative on time scales by using induction.","PeriodicalId":210748,"journal":{"name":"International Journal of Open Problems in Computer Science and Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2016-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121412670","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":"Solving Fractional Order Logistic Equation by Approximate Analytical Methods","authors":"A. Al-Shomrani, M. Mohamed, Xiao-jun Yang","doi":"10.12816/0033919","DOIUrl":"https://doi.org/10.12816/0033919","url":null,"abstract":"","PeriodicalId":210748,"journal":{"name":"International Journal of Open Problems in Computer Science and Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2016-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121614596","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 problem of finding or characterizing the zeros of polynomial functions has a long history. The obtained results varied from theory, algorithms and numerical simulations. Historically, this study began with the fundamental theorem of algebra proved by Gauss. The most known results in this direction is the fact that a real polynomial of degree n has at most n real zeros. There is also the so called Descartes rule of signs concerning the number of positive zeros. Some generalizations of Descartes rule are know such as the BudanFourier theorem that gives an upper bound for the number of zeros of a polynomial. Also, the Sturm’s theorem that gives a method for determining the exact number of zeros in an interval [Hen, chapter 6] and [Hou, chapter 2]. Recent results uses the classical Enestrom-Kakeya theorem to restricts the location of the zeros based on a condition imposed on the coefficients of the polynomial under invistigation. See [Bre] and references therain. In this paper, we will use a dynamical system result concerning periodic points of a continuous function. The result is called Sharkovsky theorem [Sha1, Sha2, Sha3, Sha4, Sha5] that gives a complete description of possible sets of periods for continuous mappings defined on an interval. The interval need not be closed or bounded. The main idea used here is the notion of
{"title":"On the Exact Number of Zeros of Certain Even Degree Polynomails : A Sharkovsky Theorem Approach","authors":"Z. Elhadj","doi":"10.12816/0026351","DOIUrl":"https://doi.org/10.12816/0026351","url":null,"abstract":"The problem of finding or characterizing the zeros of polynomial functions has a long history. The obtained results varied from theory, algorithms and numerical simulations. Historically, this study began with the fundamental theorem of algebra proved by Gauss. The most known results in this direction is the fact that a real polynomial of degree n has at most n real zeros. There is also the so called Descartes rule of signs concerning the number of positive zeros. Some generalizations of Descartes rule are know such as the BudanFourier theorem that gives an upper bound for the number of zeros of a polynomial. Also, the Sturm’s theorem that gives a method for determining the exact number of zeros in an interval [Hen, chapter 6] and [Hou, chapter 2]. Recent results uses the classical Enestrom-Kakeya theorem to restricts the location of the zeros based on a condition imposed on the coefficients of the polynomial under invistigation. See [Bre] and references therain. In this paper, we will use a dynamical system result concerning periodic points of a continuous function. The result is called Sharkovsky theorem [Sha1, Sha2, Sha3, Sha4, Sha5] that gives a complete description of possible sets of periods for continuous mappings defined on an interval. The interval need not be closed or bounded. The main idea used here is the notion of","PeriodicalId":210748,"journal":{"name":"International Journal of Open Problems in Computer Science and Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2016-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116513472","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 aim of this paper is to obtain coefficient estimates, distortion theorems, convex linear combinations and radii of close-to convexity, starlikenees and convexity for functions belonging to the subclass TSp,λ(f, g;α, β) of p-valent β−uniformaly starlike and convex functions. We consider integral operators and modified Hadamarad products of functions belonging to this subclass.
{"title":"Certain Subclass of р-Valent Starlike and Convex Uniformly Functions Defined by Convolution","authors":"A. Hussain, A. Mostafa, M. Aouf","doi":"10.12816/0026353","DOIUrl":"https://doi.org/10.12816/0026353","url":null,"abstract":"The aim of this paper is to obtain coefficient estimates, distortion theorems, convex linear combinations and radii of close-to convexity, starlikenees and convexity for functions belonging to the subclass TSp,λ(f, g;α, β) of p-valent β−uniformaly starlike and convex functions. We consider integral operators and modified Hadamarad products of functions belonging to this subclass.","PeriodicalId":210748,"journal":{"name":"International Journal of Open Problems in Computer Science and Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2016-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"113968891","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}
A two-point boundary value problem involving the nonhomogeneous differential equation of Sir George Biddell Airy with a right-hand-side that is a function of the independent variable, is considered. Solution is expressed in terms of two recently introduced integral functions that are expressible in terms of ascending series. Evaluation of these functions gives rise to an open problem that is stated in this work.
{"title":"Ascending Series Solution to Airy's Inhomogeneous Boundary Value Problem","authors":"M. Hamdan, I. Gadoura, S. Alzahrani","doi":"10.12816/0026350","DOIUrl":"https://doi.org/10.12816/0026350","url":null,"abstract":"A two-point boundary value problem involving the nonhomogeneous differential equation of Sir George Biddell Airy with a right-hand-side that is a function of the independent variable, is considered. Solution is expressed in terms of two recently introduced integral functions that are expressible in terms of ascending series. Evaluation of these functions gives rise to an open problem that is stated in this work.","PeriodicalId":210748,"journal":{"name":"International Journal of Open Problems in Computer Science and Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2016-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126275221","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 aim of this paper is to give some results on the growth of an entire separately harmonic function using its complexity. We give also an estimation on Taylor series expansion coefficients and some results on arithmetical entire functions.
{"title":"Complexity of Separately Harmonic Function and Application to Arithmetical Entire Functions","authors":"B. Djebbar, Chahrazed Harrat","doi":"10.12816/0026352","DOIUrl":"https://doi.org/10.12816/0026352","url":null,"abstract":"The aim of this paper is to give some results on the growth of an entire separately harmonic function using its complexity. We give also an estimation on Taylor series expansion coefficients and some results on arithmetical entire functions.","PeriodicalId":210748,"journal":{"name":"International Journal of Open Problems in Computer Science and Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2016-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122762596","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 consider the problem of how to define nearness BCK-algebra. Also, some properties of nearness BCK-algebras are investigated.
本文讨论了如何定义近似bck代数的问题。此外，还研究了邻近bck代数的一些性质。
{"title":"Nearness BCK-Algebras : Dedicated to the Memory of Mehmet Sapancı","authors":"M. A. Öztürk, I. Ç. Siner, Y. Jun","doi":"10.12816/0023172","DOIUrl":"https://doi.org/10.12816/0023172","url":null,"abstract":"In this paper, we consider the problem of how to define nearness BCK-algebra. Also, some properties of nearness BCK-algebras are investigated.","PeriodicalId":210748,"journal":{"name":"International Journal of Open Problems in Computer Science and Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2015-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130243344","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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