Pub Date : 1900-01-01DOI: 10.17114/j.aua.2019.59.04
D. Romano
The setting of this research is the Bishop’s constructive mathematics a mathematics based on the Intuitionistic Logic and principled-philosophical orientation of Bishop’s mathematics. Implicative semigroups with apartness introduced and analyzed by this author in his two recently published articles. In this paper, as a continuation of the research [26, 27], a description of co-filters was made in an implicative semigroup with apartness using one class of special subsets of such semi-group. 2010 Mathematics Subject Classification: 03F65, 20M12, 06F05, 06A06, 06A12.
{"title":"ON CO-FILTERS OF IMPLICATIVE SEMIGROUPS WITH APARTNESS","authors":"D. Romano","doi":"10.17114/j.aua.2019.59.04","DOIUrl":"https://doi.org/10.17114/j.aua.2019.59.04","url":null,"abstract":"The setting of this research is the Bishop’s constructive mathematics a mathematics based on the Intuitionistic Logic and principled-philosophical orientation of Bishop’s mathematics. Implicative semigroups with apartness introduced and analyzed by this author in his two recently published articles. In this paper, as a continuation of the research [26, 27], a description of co-filters was made in an implicative semigroup with apartness using one class of special subsets of such semi-group. 2010 Mathematics Subject Classification: 03F65, 20M12, 06F05, 06A06, 06A12.","PeriodicalId":319629,"journal":{"name":"Acta Universitatis Apulensis","volume":"11 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132104110","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}
Pub Date : 1900-01-01DOI: 10.17114/j.aua.2019.59.08
Hagos Tadesse, D.L. Suthar, Zeradawit Gebru
The aim of this paper is to the study of Struve type functions. Using k-Struve functions, we derive various integral transforms, including Euler transform, Laplace transform, Whittakar transform, K-transform and Fractional Fourier transform. The transform images are expressed in terms of the generalized Wright function. Interesting special cases of the main result are also considered. 2010 Mathematics Subject Classification: 26A33, 33C60, 33E12, 65R10.
{"title":"CERTAIN INTEGRAL TRANSFORMS OF THE GENERALIZED K-STRUVE FUNCTION","authors":"Hagos Tadesse, D.L. Suthar, Zeradawit Gebru","doi":"10.17114/j.aua.2019.59.08","DOIUrl":"https://doi.org/10.17114/j.aua.2019.59.08","url":null,"abstract":"The aim of this paper is to the study of Struve type functions. Using k-Struve functions, we derive various integral transforms, including Euler transform, Laplace transform, Whittakar transform, K-transform and Fractional Fourier transform. The transform images are expressed in terms of the generalized Wright function. Interesting special cases of the main result are also considered. 2010 Mathematics Subject Classification: 26A33, 33C60, 33E12, 65R10.","PeriodicalId":319629,"journal":{"name":"Acta Universitatis Apulensis","volume":"134 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134101425","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}
Pub Date : 1900-01-01DOI: 10.17114/j.aua.2019.59.09
{"title":"SOME INTERPOLATION OPERATORS ON A CURVED DOMAIN","authors":"","doi":"10.17114/j.aua.2019.59.09","DOIUrl":"https://doi.org/10.17114/j.aua.2019.59.09","url":null,"abstract":"","PeriodicalId":319629,"journal":{"name":"Acta Universitatis Apulensis","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125337874","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}
Pub Date : 1900-01-01DOI: 10.17114/j.aua.2019.58.02
A. A. Wani, S. Halici, T. A. Tarray
Many (s, t)-type of sequences has been introduced earlier such as (s, t)-Fibonacci sequence, (s, t)-Lucas sequence, (s, t)-Jacobsthal sequence, (s, t)Jacobsthal-Lucas sequence etc . However in this article, we give a new type of (s, t)-Jacobsthal sequence ⟨Un (s, t)⟩n∈N Un = iUn−1 + 2Un−2, n ≥ 2 and U0 = s− 2t, U1 = i (s− t) where i = √ −1 and s, t ∈ Z+. Next we define a binomial form ⟨Xn (s, t)⟩n∈N to the new (s, t)-Jacobsthal sequence and then some fundamental properties for the binomial form ⟨Xn (s, t)⟩n∈N are obtained. Furthermore a new kind of matrix sequence ⟨Zn (s, t)⟩n∈N will be presented for the binomial form ⟨Xn (s, t)⟩n∈N. 2010 Mathematics Subject Classification: 11B37, 11B39.
{"title":"ON A STUDY OF BINOMIAL FORM TO THE NEW (S, T)-JACOBSTHAL SEQUENCE","authors":"A. A. Wani, S. Halici, T. A. Tarray","doi":"10.17114/j.aua.2019.58.02","DOIUrl":"https://doi.org/10.17114/j.aua.2019.58.02","url":null,"abstract":"Many (s, t)-type of sequences has been introduced earlier such as (s, t)-Fibonacci sequence, (s, t)-Lucas sequence, (s, t)-Jacobsthal sequence, (s, t)Jacobsthal-Lucas sequence etc . However in this article, we give a new type of (s, t)-Jacobsthal sequence ⟨Un (s, t)⟩n∈N Un = iUn−1 + 2Un−2, n ≥ 2 and U0 = s− 2t, U1 = i (s− t) where i = √ −1 and s, t ∈ Z+. Next we define a binomial form ⟨Xn (s, t)⟩n∈N to the new (s, t)-Jacobsthal sequence and then some fundamental properties for the binomial form ⟨Xn (s, t)⟩n∈N are obtained. Furthermore a new kind of matrix sequence ⟨Zn (s, t)⟩n∈N will be presented for the binomial form ⟨Xn (s, t)⟩n∈N. 2010 Mathematics Subject Classification: 11B37, 11B39.","PeriodicalId":319629,"journal":{"name":"Acta Universitatis Apulensis","volume":"257 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115791498","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}
Pub Date : 1900-01-01DOI: 10.17114/j.aua.2019.59.07
S. Saleh, A. El-Qadeem, M. A. Mamon
We introduce some integral operators defined on the space of pvalent meromorphic functions in the class Σp. By using these integral operators, we define several subclasses of p-valent meromorphic functions and investigate various inclusion relationship and integral-preserving properties. 2010 Mathematics Subject Classification: 30C45.
{"title":"INCLUSION RELATIONSHIPS AND SOME INTEGRAL-PRESERVING PROPERTIES OF CERTAIN CLASSES OF MEROMORPHIC P-VALENT FUNCTIONS","authors":"S. Saleh, A. El-Qadeem, M. A. Mamon","doi":"10.17114/j.aua.2019.59.07","DOIUrl":"https://doi.org/10.17114/j.aua.2019.59.07","url":null,"abstract":"We introduce some integral operators defined on the space of pvalent meromorphic functions in the class Σp. By using these integral operators, we define several subclasses of p-valent meromorphic functions and investigate various inclusion relationship and integral-preserving properties. 2010 Mathematics Subject Classification: 30C45.","PeriodicalId":319629,"journal":{"name":"Acta Universitatis Apulensis","volume":" 28","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"120834312","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}
Pub Date : 1900-01-01DOI: 10.17114/j.aua.2019.59.05
{"title":"A RESULT BY SILVERMAN TRANSFERRED ON MULTIVALENT FUNCTIONS","authors":"","doi":"10.17114/j.aua.2019.59.05","DOIUrl":"https://doi.org/10.17114/j.aua.2019.59.05","url":null,"abstract":"","PeriodicalId":319629,"journal":{"name":"Acta Universitatis Apulensis","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131218746","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}
Pub Date : 1900-01-01DOI: 10.17114/j.aua.2019.59.01
S. Dragomir
In this paper we establish some weighted integral inequalities of Čebyšev and Grüss’ type for convex functions. 2010 Mathematics Subject Classification: 26D15; 25D10.
{"title":"SOME WEIGHTED INTEGRAL INEQUALITIES FOR CONVEX FUNCTIONS","authors":"S. Dragomir","doi":"10.17114/j.aua.2019.59.01","DOIUrl":"https://doi.org/10.17114/j.aua.2019.59.01","url":null,"abstract":"In this paper we establish some weighted integral inequalities of Čebyšev and Grüss’ type for convex functions. 2010 Mathematics Subject Classification: 26D15; 25D10.","PeriodicalId":319629,"journal":{"name":"Acta Universitatis Apulensis","volume":"46 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124799613","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}
Pub Date : 1900-01-01DOI: 10.17114/j.aua.2019.58.04
S. Porwal, Ş. Altınkaya
The motivation of this paper is to initiate connections between varied subclasses of univalent functions involving the Poisson distribution series. 2010 Mathematics Subject Classification: 30C45.
本文的动机是建立涉及泊松分布级数的一元函数的不同子类之间的联系。2010数学学科分类:30C45。
{"title":"THE POISSON DISTRIBUTION SERIES OF GENERAL SUBCLASSES OF UNIVALENT FUNCTIONS","authors":"S. Porwal, Ş. Altınkaya","doi":"10.17114/j.aua.2019.58.04","DOIUrl":"https://doi.org/10.17114/j.aua.2019.58.04","url":null,"abstract":"The motivation of this paper is to initiate connections between varied subclasses of univalent functions involving the Poisson distribution series. 2010 Mathematics Subject Classification: 30C45.","PeriodicalId":319629,"journal":{"name":"Acta Universitatis Apulensis","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130754509","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}
Pub Date : 1900-01-01DOI: 10.17114/j.aua.2019.59.03
S. Porwal
The main object of this paper is to obtain some sufficient conditions for the convolution operator I(m)f(z) belonging to the classes α − UCV (β) and α− ST (β). 2010 Mathematics Subject Classification: 30C45.
{"title":"SOME SUFFICIENT CONDITIONS ON ANALYTIC FUNCTIONS ASSOCIATED WITH POISSON DISTRIBUTION SERIES","authors":"S. Porwal","doi":"10.17114/j.aua.2019.59.03","DOIUrl":"https://doi.org/10.17114/j.aua.2019.59.03","url":null,"abstract":"The main object of this paper is to obtain some sufficient conditions for the convolution operator I(m)f(z) belonging to the classes α − UCV (β) and α− ST (β). 2010 Mathematics Subject Classification: 30C45.","PeriodicalId":319629,"journal":{"name":"Acta Universitatis Apulensis","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123732459","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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