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Journal of classical analysis最新文献

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Upper bounds for a general linear functional with application to orthogonal polynomial expansions 一般线性泛函的上界及其在正交多项式展开式上的应用
Journal of classical analysis Pub Date : 2019-01-01 DOI: 10.7153/jca-2019-15-11
A. Mercer, P. R. Mercer
{"title":"Upper bounds for a general linear functional with application to orthogonal polynomial expansions","authors":"A. Mercer, P. R. Mercer","doi":"10.7153/jca-2019-15-11","DOIUrl":"https://doi.org/10.7153/jca-2019-15-11","url":null,"abstract":"An upper bound on a linear functional satisfying several constraints is found, then used to provide a short and simple proof of convergence, for orthogonal polynomial expansions. Mathematics subject classification (2010): 42C10, 26D20.","PeriodicalId":73656,"journal":{"name":"Journal of classical analysis","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71135489","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 generalized geometric difference of six dimensional rough ideal convergent of triple sequence defined by Musielak-Orlicz function 由Musielak-Orlicz函数定义的三列六维粗糙理想收敛的广义几何差分
Journal of classical analysis Pub Date : 2019-01-01 DOI: 10.7153/jca-2019-14-10
A. Esi, N. Subramanian
{"title":"On generalized geometric difference of six dimensional rough ideal convergent of triple sequence defined by Musielak-Orlicz function","authors":"A. Esi, N. Subramanian","doi":"10.7153/jca-2019-14-10","DOIUrl":"https://doi.org/10.7153/jca-2019-14-10","url":null,"abstract":". We introduce a rough ideal convergent of triple sequence spaces de fi ned by Musielak- Orlicz function, using an six dimensional in fi nite matrix, and a generalized geometric difference Zweier six dimensional matrix operator B p ( abc ) of order p . We obtain some topological and algebraic properties of these spaces.","PeriodicalId":73656,"journal":{"name":"Journal of classical analysis","volume":"77 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71134566","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
A lower bound of the power exponential function 幂指数函数的下界
Journal of classical analysis Pub Date : 2019-01-01 DOI: 10.7153/jca-2019-15-01
Yusuke Nishizawa
{"title":"A lower bound of the power exponential function","authors":"Yusuke Nishizawa","doi":"10.7153/jca-2019-15-01","DOIUrl":"https://doi.org/10.7153/jca-2019-15-01","url":null,"abstract":". In this paper, we consider the lower bound of the power exponential function a 2 b + b 2 a for nonnegative real numbers a and b . If a + b = 1, then it is known that the function has the maximum value 1, but it is no known that the minimum value. In this paper, we show that a 2 b + b 2 a > 6083 / 6144 ∼ = 0 . 990072 for nonnegative real numbers a and b with a + b = 1.","PeriodicalId":73656,"journal":{"name":"Journal of classical analysis","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71134702","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
Hyperstability of a mixed type cubic-quartic functional equation in ultrametric spaces 超度量空间中混合型三次-四次泛函方程的超稳定性
Journal of classical analysis Pub Date : 2019-01-01 DOI: 10.7153/jca-2019-14-09
Y. Aribou, H. Dimou, S. Kabbaj
{"title":"Hyperstability of a mixed type cubic-quartic functional equation in ultrametric spaces","authors":"Y. Aribou, H. Dimou, S. Kabbaj","doi":"10.7153/jca-2019-14-09","DOIUrl":"https://doi.org/10.7153/jca-2019-14-09","url":null,"abstract":". In this paper, we present the hyperstability results of a mixed type cubic- quartic func- tional equations in ultrametric Banach spaces.","PeriodicalId":73656,"journal":{"name":"Journal of classical analysis","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71134555","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
General Tauberian conditions for weighted mean methods of summability 可和性加权平均法的一般Tauberian条件
Journal of classical analysis Pub Date : 2019-01-01 DOI: 10.7153/jca-2019-15-08
S. A. Sezer, Ibrahim Çanak
{"title":"General Tauberian conditions for weighted mean methods of summability","authors":"S. A. Sezer, Ibrahim Çanak","doi":"10.7153/jca-2019-15-08","DOIUrl":"https://doi.org/10.7153/jca-2019-15-08","url":null,"abstract":"In this paper we recover convergence of a complex sequence (un) out of its summability by weighted means under certain supplementary conditions that control the oscillatory behavior of (un) . As corollaries, we obtain classical Hardy-type Tauberian conditions for various weighted mean methods. Mathematics subject classification (2010): 40A05, 40E05, 40G05.","PeriodicalId":73656,"journal":{"name":"Journal of classical analysis","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71134582","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
Rate of convergence of Gupta-Srivastava operators based on certain parameters 基于某些参数的Gupta-Srivastava算子的收敛速度
Journal of classical analysis Pub Date : 2018-08-07 DOI: 10.7153/jca-2019-14-11
Rameshwar Pratap, N. Deo
{"title":"Rate of convergence of Gupta-Srivastava operators based on certain parameters","authors":"Rameshwar Pratap, N. Deo","doi":"10.7153/jca-2019-14-11","DOIUrl":"https://doi.org/10.7153/jca-2019-14-11","url":null,"abstract":"In the present paper, we consider the Bezier variant of the general family of Gupta-Srivastava operators cite{GS:18}. For the proposed operators, we discuss the rate of convergence by using of Lipschitz type space, Ditzian-Totik modulus of smoothness, weighted modulus of continuity and functions of bounded variation.","PeriodicalId":73656,"journal":{"name":"Journal of classical analysis","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2018-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44720804","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
On absolute matrix summability factors of infinite series 无穷级数的绝对矩阵可和性因子
Journal of classical analysis Pub Date : 2018-01-01 DOI: 10.7153/JCA-2018-13-09
A. Karakas
{"title":"On absolute matrix summability factors of infinite series","authors":"A. Karakas","doi":"10.7153/JCA-2018-13-09","DOIUrl":"https://doi.org/10.7153/JCA-2018-13-09","url":null,"abstract":"In the present paper, a general theorem dealing with |A, pn;δ |k summability method of infinite series has been proved by using almost increasing sequences. Some results have also been given. Mathematics subject classification (2010): 26D15, 40D15, 40F05, 40G99.","PeriodicalId":73656,"journal":{"name":"Journal of classical analysis","volume":"1 1","pages":"133-139"},"PeriodicalIF":0.0,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71134108","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: 7
On some inequalities concerning relative (p,q)-φ type and relative (p,q)-φ weak type of entire or meromorphic functions with respect to an entire function 关于完整函数或亚纯函数的相对(p,q)-φ型和相对(p,q)-φ弱型的一些不等式
Journal of classical analysis Pub Date : 2018-01-01 DOI: 10.7153/JCA-2018-13-07
T. Biswas
{"title":"On some inequalities concerning relative (p,q)-φ type and relative (p,q)-φ weak type of entire or meromorphic functions with respect to an entire function","authors":"T. Biswas","doi":"10.7153/JCA-2018-13-07","DOIUrl":"https://doi.org/10.7153/JCA-2018-13-07","url":null,"abstract":"","PeriodicalId":73656,"journal":{"name":"Journal of classical analysis","volume":"1 1","pages":"107-122"},"PeriodicalIF":0.0,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71134412","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
Bohr radius for certain classes of analytic functions 一类解析函数的玻尔半径
Journal of classical analysis Pub Date : 2018-01-01 DOI: 10.7153/JCA-2018-12-10
Sarita Agrawal, M. Mohapatra
{"title":"Bohr radius for certain classes of analytic functions","authors":"Sarita Agrawal, M. Mohapatra","doi":"10.7153/JCA-2018-12-10","DOIUrl":"https://doi.org/10.7153/JCA-2018-12-10","url":null,"abstract":"In this paper, we discuss Bohr’s inequality for certain classes of analytic functions associated with q -function theory for q ∈ (0,1) . Interestingly, in particular cases when q → 1 , we obtain very fundamental theorems of univalent function theory such as covering and growth theorems for starlike and convex functions. Subsequently, we obtain the Bohr radius for the classes of starlike and convex functions. Mathematics subject classification (2010): 28A25, 30A10, 30B10, 30H05, 39A13.","PeriodicalId":73656,"journal":{"name":"Journal of classical analysis","volume":"1 1","pages":"109-118"},"PeriodicalIF":0.0,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71134233","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
On triple sequence of Bernstein operator of weighted rough I_λ-convergence 加权粗糙i - λ收敛的Bernstein算子的三重序列
Journal of classical analysis Pub Date : 2018-01-01 DOI: 10.7153/jca-2018-13-02
N. Subramanian, A. Esi
{"title":"On triple sequence of Bernstein operator of weighted rough I_λ-convergence","authors":"N. Subramanian, A. Esi","doi":"10.7153/jca-2018-13-02","DOIUrl":"https://doi.org/10.7153/jca-2018-13-02","url":null,"abstract":". We introduce and study some basic properties of rough I λ -convergence of weight g , where g : N 3 → [ 0 , ∞ ) is a function satisfying g ( m , n , k ) → ∞ and (cid:3) ( m , n , k ) (cid:3) g ( m , n , k ) (cid:4)→ 0 as m , n , k → ∞ , of triple sequence of Bernstein polynomials and also study the set of all rough I λ -convergence of weight g limits of a triple sequence of Bernstein polynomials and relation between analyticness and rough I λ -convergence of weight g of a triple sequences of Bernstein polynomials.","PeriodicalId":73656,"journal":{"name":"Journal of classical analysis","volume":"1 1","pages":"45-62"},"PeriodicalIF":0.0,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71134253","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
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