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A determinantal expression and a recursive relation of the Delannoy numbers Delannoy数的一个行列式和递归关系
IF 0.5
Acta Universitatis Sapientiae-Mathematica Pub Date : 2020-03-27 DOI: 10.2478/ausm-2021-0027
Feng Qi (祁锋)
{"title":"A determinantal expression and a recursive relation of the Delannoy numbers","authors":"Feng Qi (祁锋)","doi":"10.2478/ausm-2021-0027","DOIUrl":"https://doi.org/10.2478/ausm-2021-0027","url":null,"abstract":"Abstract In the paper, by a general and fundamental, but non-extensively circulated, formula for derivatives of a ratio of two differentiable functions and by a recursive relation of the Hessenberg determinant, the author finds a new determinantal expression and a new recursive relation of the Delannoy numbers. Consequently, the author derives a recursive relation for computing central Delannoy numbers in terms of related Delannoy numbers.","PeriodicalId":43054,"journal":{"name":"Acta Universitatis Sapientiae-Mathematica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2020-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85884715","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
Graded Morita theory over a G-graded G-acted algebra g -分次g作用代数上的分次Morita理论
IF 0.5
Acta Universitatis Sapientiae-Mathematica Pub Date : 2020-01-24 DOI: 10.2478/ausm-2020-0011
Virgilius-Aurelian Minuță
{"title":"Graded Morita theory over a G-graded G-acted algebra","authors":"Virgilius-Aurelian Minuță","doi":"10.2478/ausm-2020-0011","DOIUrl":"https://doi.org/10.2478/ausm-2020-0011","url":null,"abstract":"Abstract We develop a group graded Morita theory over a G-graded G-acted algebra, where G is a finite group.","PeriodicalId":43054,"journal":{"name":"Acta Universitatis Sapientiae-Mathematica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2020-01-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74956625","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
Some inequalities for double integrals and applications for cubature formula 二重积分的若干不等式及其在培养公式中的应用
IF 0.5
Acta Universitatis Sapientiae-Mathematica Pub Date : 2019-12-01 DOI: 10.2478/ausm-2019-0021
S. Erden, M. Sarıkaya
{"title":"Some inequalities for double integrals and applications for cubature formula","authors":"S. Erden, M. Sarıkaya","doi":"10.2478/ausm-2019-0021","DOIUrl":"https://doi.org/10.2478/ausm-2019-0021","url":null,"abstract":"Abstract We establish two Ostrowski type inequalities for double integrals of second order partial derivable functions which are bounded. Then, we deduce some inequalities of Hermite-Hadamard type for double integrals of functions whose partial derivatives in absolute value are convex on the co-ordinates on rectangle from the plane. Finally, some applications in Numerical Analysis in connection with cubature formula are given.","PeriodicalId":43054,"journal":{"name":"Acta Universitatis Sapientiae-Mathematica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2019-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78707059","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 Tauberian theorem for the statistical generalized Nörlund-Euler summability method 统计广义Nörlund-Euler可和性方法的一个Tauberian定理
IF 0.5
Acta Universitatis Sapientiae-Mathematica Pub Date : 2019-12-01 DOI: 10.2478/ausm-2019-0019
N. Braha
{"title":"A Tauberian theorem for the statistical generalized Nörlund-Euler summability method","authors":"N. Braha","doi":"10.2478/ausm-2019-0019","DOIUrl":"https://doi.org/10.2478/ausm-2019-0019","url":null,"abstract":"Abstract Let (pn) and (qn) be any two non-negative real sequences with Rn:=∑k=0npkqn-k≠0    (n∈𝕅) {{rm{R}}_{rm{n}}}: = sumlimits_{{rm{k}} = 0}^{rm{n}} {{{rm{p}}_{rm{k}}}{{rm{q}}_{{rm{n}} - {rm{k}}}}} ne 0,,,,left( {{rm{n}} in {rmmathbb{N}}} right) With En1 {rm{E}}_{rm{n}}^1 − we will denote the Euler summability method. Let (xn) be a sequence of real or complex numbers and set Np,qnEn1:=1Rn∑k=0npkqn-k12k∑v=0k(vk)xv {rm{N}}_{{rm{p}},{rm{q}}}^{rm{n}}{rm{E}}_{rm{n}}^1: = {1 over {{{rm{R}}_{rm{n}}}}}sumlimits_{{rm{k}} = 0}^{rm{n}} {{{rm{p}}_{rm{k}}}{{rm{q}}_{{rm{n - k}}}}{1 over {{2^{rm{k}}}}}sumlimits_{{rm{v}} = 0}^{rm{k}} {left( {_{rm{v}}^{rm{k}}} right){{rm{x}}_{rm{v}}}} } for n ∈ ℕ. In this paper, we present necessary and sufficient conditions under which the existence of the st− limit of (xn) follows from that of st-Np,qnE n1 {rm{st - N}}_{{rm{p}},q}^{rm{n}}{rm{E}}_{rm{n}}^1 − limit of (xn). These conditions are one-sided or two-sided if (xn) is a sequence of real or complex numbers, respectively.","PeriodicalId":43054,"journal":{"name":"Acta Universitatis Sapientiae-Mathematica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2019-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88790528","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
Coefficient estimates and Fekete-Szegö inequality for a class of analytic functions satisfying subordinate condition associated with Chebyshev polynomials 一类满足切比雪夫多项式从属条件的解析函数的系数估计和Fekete-Szegö不等式
IF 0.5
Acta Universitatis Sapientiae-Mathematica Pub Date : 2019-12-01 DOI: 10.2478/ausm-2019-0031
Eszter Szatmari, Ş. Altınkaya
{"title":"Coefficient estimates and Fekete-Szegö inequality for a class of analytic functions satisfying subordinate condition associated with Chebyshev polynomials","authors":"Eszter Szatmari, Ş. Altınkaya","doi":"10.2478/ausm-2019-0031","DOIUrl":"https://doi.org/10.2478/ausm-2019-0031","url":null,"abstract":"Abstract In this paper, we define a class of analytic functions, ℱ(ℋ, α, δ, µ), satisfying the following condition (α[ zf′(z)f(z) ]δ+(1-α)[ zf′(z)f(z) ]μ[ 1+zf″(z)f′(z) ]1-μ)≺𝒣(z,t), left( {alpha {{left[ {{{{rm{zf'}}({rm{z}})} over {{rm{f}}(z)}}} right]}^delta } + (1 - alpha ){{left[ {{{{rm{zf'}}left( {rm{z}} right)} over {{rm{f}}(z)}}} right]}^mu }{{left[ {1 + {{{rm{zf''}}({rm{z}})} over {{rm{f'}}({rm{z}})}}} right]}^{1 - mu }}} right),, prec mathcal{H}({rm{z}},{rm{t}}), where α ∈ [0, 1], δ ∈ [1, 2] and µ ∈ [0, 1]. We give coefficient estimates and Fekete-Szegö inequality for this class.","PeriodicalId":43054,"journal":{"name":"Acta Universitatis Sapientiae-Mathematica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2019-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90603320","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
Some consequences of the rank normal form of a matrix 矩阵的秩正规形式的一些结果
IF 0.5
Acta Universitatis Sapientiae-Mathematica Pub Date : 2019-12-01 DOI: 10.2478/ausm-2019-0028
Sorin Radulescu, Marius Drăgan, M. Bencze
{"title":"Some consequences of the rank normal form of a matrix","authors":"Sorin Radulescu, Marius Drăgan, M. Bencze","doi":"10.2478/ausm-2019-0028","DOIUrl":"https://doi.org/10.2478/ausm-2019-0028","url":null,"abstract":"Abstract If A is a rectangular matrix of rank r, then A may be written as PSQ where P and Q are invertible matrices and s=(IrOOO) s = left( {matrix{ hfill {{{rm{I}}_{rm{r}}}} & hfill {rm{O}} cr hfill {rm{O}} & hfill {rm{O}} cr } } right) . This is the rank normal form of the matrix A. The purpose of this paper is to exhibit some consequences of this representation form.","PeriodicalId":43054,"journal":{"name":"Acta Universitatis Sapientiae-Mathematica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2019-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89008430","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
On the Elzaki transform and its applications in fractional free electron laser equation Elzaki变换及其在分数阶自由电子激光方程中的应用
IF 0.5
Acta Universitatis Sapientiae-Mathematica Pub Date : 2019-12-01 DOI: 10.2478/ausm-2019-0030
Yudhveer Singh, Vinod Gill, Sunil Kundu, Devendra Kumar
{"title":"On the Elzaki transform and its applications in fractional free electron laser equation","authors":"Yudhveer Singh, Vinod Gill, Sunil Kundu, Devendra Kumar","doi":"10.2478/ausm-2019-0030","DOIUrl":"https://doi.org/10.2478/ausm-2019-0030","url":null,"abstract":"Abstract This article is devoted to study Elzaki transform and its applications in Free Electron Laser equation involving Hilfer-Prabhakar fractional derivative. We derive formula of Elzaki transform for Hilfer–Prabhakar derivative and its regularized version. The solution of Free Electron Laser equation involving Hilfer-Prabhakar fractional derivative of fractional order is presented in terms of Mittag-Leffler type function. Furthermore, we find the application of the generalized Hilfer-Prabhakar derivative in linear partial differential equation and some problems of Mathematical Physics.","PeriodicalId":43054,"journal":{"name":"Acta Universitatis Sapientiae-Mathematica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2019-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91004588","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: 12
Some results concerning the Tremblay operator and some of its applications to certain analytic functions 关于Tremblay算子的一些结果及其在解析函数中的一些应用
IF 0.5
Acta Universitatis Sapientiae-Mathematica Pub Date : 2019-12-01 DOI: 10.2478/ausm-2019-0022
H. Irmak, O. Engel
{"title":"Some results concerning the Tremblay operator and some of its applications to certain analytic functions","authors":"H. Irmak, O. Engel","doi":"10.2478/ausm-2019-0022","DOIUrl":"https://doi.org/10.2478/ausm-2019-0022","url":null,"abstract":"Abstract The aim of this scientific note is first to present certain information associated with the Tremblay operator in the complex plane and then to determine several results constituted by the related operator for certain analytic functions and also to point some implications of them out.","PeriodicalId":43054,"journal":{"name":"Acta Universitatis Sapientiae-Mathematica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2019-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88317610","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
Study of Γ-hyperrings by fuzzy hyperideals with respect to a t-norm 关于t-范数的模糊超拟研究Γ-hyperrings
IF 0.5
Acta Universitatis Sapientiae-Mathematica Pub Date : 2019-12-01 DOI: 10.2478/ausm-2019-0023
Krisanthi Naka, K. Hila, S. Onar, B. A. Ersoy
{"title":"Study of Γ-hyperrings by fuzzy hyperideals with respect to a t-norm","authors":"Krisanthi Naka, K. Hila, S. Onar, B. A. Ersoy","doi":"10.2478/ausm-2019-0023","DOIUrl":"https://doi.org/10.2478/ausm-2019-0023","url":null,"abstract":"Abstract In this paper, we study the Γ-hyperrings via T-fuzzy hyperideals. By means of the use of a triangular norm T, we define, characterize and study the T-fuzzy left and right hyperideals, T-fuzzy quasi-hyperideal and bi-hyperideal in Γ-hyperrings and some related properties are investigated. Regular Γ-hyperrings are characterized in terms of T-fuzzy quasi-hyperideal and T-fuzzy bi-hyperideal. We also introduce the T-(λ, µ)-fuzzy bi-hyperideals in Γ-hyperrings and investigate some of their properties.","PeriodicalId":43054,"journal":{"name":"Acta Universitatis Sapientiae-Mathematica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2019-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73828309","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
On a non flat Riemannian warped product manifold with respect to quarter-symmetric connection 关于四分之一对称连接的非平坦黎曼弯曲积流形
IF 0.5
Acta Universitatis Sapientiae-Mathematica Pub Date : 2019-12-01 DOI: 10.2478/ausm-2019-0024
B. Pal, S. Dey, S. Pahan
{"title":"On a non flat Riemannian warped product manifold with respect to quarter-symmetric connection","authors":"B. Pal, S. Dey, S. Pahan","doi":"10.2478/ausm-2019-0024","DOIUrl":"https://doi.org/10.2478/ausm-2019-0024","url":null,"abstract":"Abstract In this paper, we study generalized quasi-Einstein warped products with respect to quarter symmetric connection for dimension n ≥ 3 and Ricci-symmetric generalized quasi-Einstein manifold with quarter symmetric connection. We also investigate that in what conditions the generalized quasi-Einstein manifold to be nearly Einstein manifold with respect to quarter symmetric connection. Example of warped product on generalized quasi-Einstein manifold with respect to quarter symmetric connection are also discussed.","PeriodicalId":43054,"journal":{"name":"Acta Universitatis Sapientiae-Mathematica","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2019-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74249322","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
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