Abstract In this study, the author has established a new lemma and Bullen-type inequalities for conformable fractional integrals. Also, it is given some applications involving Bullen type integral inequalities for differentiable functions to show the results.
{"title":"Some Bullen-type inequalities for conformable fractional integrals","authors":"M. Çakmak","doi":"10.2478/gm-2020-0011","DOIUrl":"https://doi.org/10.2478/gm-2020-0011","url":null,"abstract":"Abstract In this study, the author has established a new lemma and Bullen-type inequalities for conformable fractional integrals. Also, it is given some applications involving Bullen type integral inequalities for differentiable functions to show the results.","PeriodicalId":32454,"journal":{"name":"General Letters in Mathematics","volume":"8 1","pages":"3 - 17"},"PeriodicalIF":0.0,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81527224","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}
Abstract By this research notes, the well-known Tremblay operator and certain core knowledge therewith are firstly introduced and an extensive result containing numerous (analytic and) geometric properties (of possible applications of the related operator) along with a number of special implications are then constituted. As method for proving, the well-known assertion proposed by [8] is also considered there.
{"title":"Geometric properties of some applications of the Tremblay operator","authors":"H. Irmak","doi":"10.2478/gm-2020-0018","DOIUrl":"https://doi.org/10.2478/gm-2020-0018","url":null,"abstract":"Abstract By this research notes, the well-known Tremblay operator and certain core knowledge therewith are firstly introduced and an extensive result containing numerous (analytic and) geometric properties (of possible applications of the related operator) along with a number of special implications are then constituted. As method for proving, the well-known assertion proposed by [8] is also considered there.","PeriodicalId":32454,"journal":{"name":"General Letters in Mathematics","volume":"44 1","pages":"87 - 96"},"PeriodicalIF":0.0,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77107312","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}
Abstract The main first goal of this work is to introduce an Urysohn type Chlodovsky operators defined on positive real axis by using the Urysohn type interpolation of the given function f and bounded on every finite subinterval. The basis used in this construction are the Fréchet and Prenter Density Theorems together with Urysohn type operator values instead of the rational sampling values of the function. Afterwards, we will state some convergence results, which are generalization and extension of the theory of classical interpolation of functions to operators.
{"title":"On the reconstruction via Urysohn-Chlodovsky operators","authors":"H. Karsli","doi":"10.2478/gm-2020-0012","DOIUrl":"https://doi.org/10.2478/gm-2020-0012","url":null,"abstract":"Abstract The main first goal of this work is to introduce an Urysohn type Chlodovsky operators defined on positive real axis by using the Urysohn type interpolation of the given function f and bounded on every finite subinterval. The basis used in this construction are the Fréchet and Prenter Density Theorems together with Urysohn type operator values instead of the rational sampling values of the function. Afterwards, we will state some convergence results, which are generalization and extension of the theory of classical interpolation of functions to operators.","PeriodicalId":32454,"journal":{"name":"General Letters in Mathematics","volume":"16 1","pages":"19 - 32"},"PeriodicalIF":0.0,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91262311","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}
Abstract In this paper we obtain some bounds in terms of polynomials for the function sinxx{{sin x} over x}, x ∈ [0, π].
摘要本文得到了函数sinxx{{ sinx} / x}， x∈[0，π]的多项式界。
{"title":"A note on Jordan’s inequality","authors":"Emil C. Popa","doi":"10.2478/gm-2020-0019","DOIUrl":"https://doi.org/10.2478/gm-2020-0019","url":null,"abstract":"Abstract In this paper we obtain some bounds in terms of polynomials for the function sinxx{{sin x} over x}, x ∈ [0, π].","PeriodicalId":32454,"journal":{"name":"General Letters in Mathematics","volume":"55 1","pages":"97 - 102"},"PeriodicalIF":0.0,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80954111","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}
Abstract We consider the classical Szász-Mirakyan and Szász-Mirakyan-Durrmeyer operators, as well as a Kantorovich modification and a discrete version of it. The images of exponential functions under these operators are determined. We establish estimates involving differences and quotients of these images.
{"title":"Differences and quotients of positive linear operators","authors":"Sever Hodiş","doi":"10.2478/gm-2020-0017","DOIUrl":"https://doi.org/10.2478/gm-2020-0017","url":null,"abstract":"Abstract We consider the classical Szász-Mirakyan and Szász-Mirakyan-Durrmeyer operators, as well as a Kantorovich modification and a discrete version of it. The images of exponential functions under these operators are determined. We establish estimates involving differences and quotients of these images.","PeriodicalId":32454,"journal":{"name":"General Letters in Mathematics","volume":"142 3-4","pages":"81 - 85"},"PeriodicalIF":0.0,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72482217","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}
Abstract In the current paper, we introduce a new family for holomorphic functions defined by Wanas operator associated with Poisson distribution series. Also we derive some interesting geometric properties for functions belongs to this family.
{"title":"Differential subordination results for holomorphic functions associated with Wanas Operator and Poisson Distribution series","authors":"A. Wanas, Á. O. Páll-Szabó","doi":"10.2478/gm-2020-0014","DOIUrl":"https://doi.org/10.2478/gm-2020-0014","url":null,"abstract":"Abstract In the current paper, we introduce a new family for holomorphic functions defined by Wanas operator associated with Poisson distribution series. Also we derive some interesting geometric properties for functions belongs to this family.","PeriodicalId":32454,"journal":{"name":"General Letters in Mathematics","volume":"26 1","pages":"49 - 60"},"PeriodicalIF":0.0,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89288705","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 book is devoted to a detailed study on approximation by positive linear operators and it is addressed to students in mathematics, but also to any researchers and PhD students interested in the field of approximation theory and its applications. The first two chapters deal with the moments and the central moments of some positive linear operators. Since the moments play an important role in approximation theory by positive linear operator, this book can be used successfully in the research work. The known strong converse inequalities of type A in the terminology of Ditzian– Ivanov for linear combinations of Bernstein and Bernstein–Kantorovich operators are presented. Some open problems concerning the approximation by linear combinations of positive linear operators are outlined. In recent years, there is an increasing interest to give quantitative estimates for positive linear operators in approximating the functions. The Voronovskaja-type theorem is one of the most important result which describes the rate of pointwise convergence. In this book some of the results appeared in the recent years on such problems are very well described. The book is very well written, structured and organized. All the notions and results are clearly presented. The book is highly recommended as well as for self-study by researchers needing a quick access to some top research tools in approximation theory.
{"title":"Book Review: Approximation with Positive Linear Operators and Linear Combinations By: Vijay Gupta, Gancho Tachev Series: Developments in Mathematics, Volume 50, Springer, Cham, 2017","authors":"A. Acu","doi":"10.2478/gm-2020-0020","DOIUrl":"https://doi.org/10.2478/gm-2020-0020","url":null,"abstract":"The book is devoted to a detailed study on approximation by positive linear operators and it is addressed to students in mathematics, but also to any researchers and PhD students interested in the field of approximation theory and its applications. The first two chapters deal with the moments and the central moments of some positive linear operators. Since the moments play an important role in approximation theory by positive linear operator, this book can be used successfully in the research work. The known strong converse inequalities of type A in the terminology of Ditzian– Ivanov for linear combinations of Bernstein and Bernstein–Kantorovich operators are presented. Some open problems concerning the approximation by linear combinations of positive linear operators are outlined. In recent years, there is an increasing interest to give quantitative estimates for positive linear operators in approximating the functions. The Voronovskaja-type theorem is one of the most important result which describes the rate of pointwise convergence. In this book some of the results appeared in the recent years on such problems are very well described. The book is very well written, structured and organized. All the notions and results are clearly presented. The book is highly recommended as well as for self-study by researchers needing a quick access to some top research tools in approximation theory.","PeriodicalId":32454,"journal":{"name":"General Letters in Mathematics","volume":"25 1","pages":"103 - 104"},"PeriodicalIF":0.0,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76839106","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":"Ulam stability for Thunsdorff and Cauchy-Schwarz equations","authors":"Laura Hodiş","doi":"10.2478/gm-2020-0015","DOIUrl":"https://doi.org/10.2478/gm-2020-0015","url":null,"abstract":"Abstract We consider the equality case in Thunsdorff inequality and Cauchy-Schwarz inequality. For these two equations we prove Ulam stability.","PeriodicalId":32454,"journal":{"name":"General Letters in Mathematics","volume":"11 1","pages":"61 - 65"},"PeriodicalIF":0.0,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88943151","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}
Abstract In this article, our aim is to estimate an upper bounds for the second Hankel determinant H2(2) of a certain class of analytic and bi-univalent functions with respect to symmetric conjugate defined in the open unit disk U.
摘要在本文中，我们的目的是估计一类解析函数和双单价函数的二阶Hankel行列式H2(2)的上界。
{"title":"Upper bound of second Hankel determinant for bi-univalent functions with respect to symmetric conjugate","authors":"A. Wanas, S. Bulut","doi":"10.2478/gm-2020-0016","DOIUrl":"https://doi.org/10.2478/gm-2020-0016","url":null,"abstract":"Abstract In this article, our aim is to estimate an upper bounds for the second Hankel determinant H2(2) of a certain class of analytic and bi-univalent functions with respect to symmetric conjugate defined in the open unit disk U.","PeriodicalId":32454,"journal":{"name":"General Letters in Mathematics","volume":"44 1","pages":"67 - 80"},"PeriodicalIF":0.0,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86793168","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}
Obaid Mahmmood Mohsin Al Zawbaee, Hassan Mstafa Tabra
The issue of decision-making is one of the important issues in modern management because of its impact on individuals, communities and countries, as most of the problems faced by individuals, communities and countries result from making incorrect decisions. The evolution of management science and the use of quantitative methods of treatment are also in a continuous growth as decisions are influenced by a variety of factors or variables. In this research, we considered the variables or factors related to the illusion of excellence and the level of ambition through the use of logistic regression technique to identify the variables that have a significant moral effect in the decision-making and are arranged according to their importance. A model by which to predict the extent to which the decision is affected by the environment. The result of the analysis demonstrated that out of ten factors that were identified and studied, three of them had a significant effect while the others had a non-significant effect, and the model achieves a correct classification of 81%. Keyword: logistic regression model, qualitative variables, decision making, ambition, illusion. 2010MSC: 90Bxx, 90B50.
{"title":"Identifying factors influencing decision making using logistic regression","authors":"Obaid Mahmmood Mohsin Al Zawbaee, Hassan Mstafa Tabra","doi":"10.31559/glm2020.8.2.6","DOIUrl":"https://doi.org/10.31559/glm2020.8.2.6","url":null,"abstract":"The issue of decision-making is one of the important issues in modern management because of its impact on individuals, communities and countries, as most of the problems faced by individuals, communities and countries result from making incorrect decisions. The evolution of management science and the use of quantitative methods of treatment are also in a continuous growth as decisions are influenced by a variety of factors or variables. In this research, we considered the variables or factors related to the illusion of excellence and the level of ambition through the use of logistic regression technique to identify the variables that have a significant moral effect in the decision-making and are arranged according to their importance. A model by which to predict the extent to which the decision is affected by the environment. The result of the analysis demonstrated that out of ten factors that were identified and studied, three of them had a significant effect while the others had a non-significant effect, and the model achieves a correct classification of 81%. Keyword: logistic regression model, qualitative variables, decision making, ambition, illusion. 2010MSC: 90Bxx, 90B50.","PeriodicalId":32454,"journal":{"name":"General Letters in Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70007560","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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