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Trigonometric approximation of functions in seminormed spaces 半形空间中函数的三角逼近
IF 1 4区 数学
Mathematical Inequalities & Applications Pub Date : 2021-01-01 DOI: 10.7153/MIA-2021-24-07
W. Łenski, Uaday Singh, B. Szal
{"title":"Trigonometric approximation of functions in seminormed spaces","authors":"W. Łenski, Uaday Singh, B. Szal","doi":"10.7153/MIA-2021-24-07","DOIUrl":"https://doi.org/10.7153/MIA-2021-24-07","url":null,"abstract":". In this paper, we study the approximation properties of 2 π -periodic functions in a seminormed space. We use a general matrix method of summability, and the moduli of continuity in the seminormed space as a measure of approximation. Our results generalize and improve some of the previous results available in the literature.","PeriodicalId":49868,"journal":{"name":"Mathematical Inequalities & Applications","volume":"1 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71203880","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
On Stević-Sharma operator from the mixed-norm spaces to Zygmund-type spaces 混合范数空间到zygmund型空间的Stević-Sharma算子
IF 1 4区 数学
Mathematical Inequalities & Applications Pub Date : 2021-01-01 DOI: 10.7153/MIA-2021-24-31
Zhitao Guo, Lingjun Liu, Yonglu Shu
{"title":"On Stević-Sharma operator from the mixed-norm spaces to Zygmund-type spaces","authors":"Zhitao Guo, Lingjun Liu, Yonglu Shu","doi":"10.7153/MIA-2021-24-31","DOIUrl":"https://doi.org/10.7153/MIA-2021-24-31","url":null,"abstract":". Let ϕ be an analytic self-map of the unit disk D , H ( D ) the space of all analytic functions on D , and ψ 1 , ψ 2 ∈ H ( D ) . The boundedness and compactness of Stevi´c-Sharma operator T ψ 1 , ψ 2 , ϕ f = ψ 1 · f ◦ ϕ + ψ 2 · f (cid:5) ◦ ϕ from the mixed-norm space H ( p , q , φ ) to Zyg-mund-type space Z μ and little Zygmund-type space Z μ 0 are investigated in this paper.","PeriodicalId":49868,"journal":{"name":"Mathematical Inequalities & Applications","volume":"43 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71204185","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 16
Besov-Morrey spaces and Volterra integral operator Besov-Morrey空间与Volterra积分算子
IF 1 4区 数学
Mathematical Inequalities & Applications Pub Date : 2021-01-01 DOI: 10.7153/mia-2021-24-59
R. Yang, Xiangling Zhu
{"title":"Besov-Morrey spaces and Volterra integral operator","authors":"R. Yang, Xiangling Zhu","doi":"10.7153/mia-2021-24-59","DOIUrl":"https://doi.org/10.7153/mia-2021-24-59","url":null,"abstract":"In this paper, we introduce a class of Besov-Morrey spaces Bp (s) . For any positive Borel measure μ , we characterize the boundedness and compactness of the identity operator from Bp (s) spaces into tent spaces T q t (μ) . As an application, the boundedness, compactness and essential norm of the Volterra integral operator Tg from Bp (s) spaces to some general function spaces are also investigated. Mathematics subject classification (2020): 30H25, 47B38.","PeriodicalId":49868,"journal":{"name":"Mathematical Inequalities & Applications","volume":"1 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71204517","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
A Picone's identity for the p(x)-Laplace equations and its applications p(x)-拉普拉斯方程的皮孔恒等式及其应用
IF 1 4区 数学
Mathematical Inequalities & Applications Pub Date : 2021-01-01 DOI: 10.7153/mia-2021-24-56
Lujuan Yu
{"title":"A Picone's identity for the p(x)-Laplace equations and its applications","authors":"Lujuan Yu","doi":"10.7153/mia-2021-24-56","DOIUrl":"https://doi.org/10.7153/mia-2021-24-56","url":null,"abstract":"","PeriodicalId":49868,"journal":{"name":"Mathematical Inequalities & Applications","volume":"1 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71204775","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
New bounds for generalized Taylor expansions 广义泰勒展开式的新界
IF 1 4区 数学
Mathematical Inequalities & Applications Pub Date : 2021-01-01 DOI: 10.7153/mia-2021-24-69
J. Baric, Ljiljanka Kvesić, J. Pečarić, M. Ribičić Penava
{"title":"New bounds for generalized Taylor expansions","authors":"J. Baric, Ljiljanka Kvesić, J. Pečarić, M. Ribičić Penava","doi":"10.7153/mia-2021-24-69","DOIUrl":"https://doi.org/10.7153/mia-2021-24-69","url":null,"abstract":"","PeriodicalId":49868,"journal":{"name":"Mathematical Inequalities & Applications","volume":"1 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71204873","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Approximate ω-orthogonality and ω-derivation 近似ω-正交性和ω-导数
IF 1 4区 数学
Mathematical Inequalities & Applications Pub Date : 2021-01-01 DOI: 10.7153/MIA-2021-24-32
M. Amyari, M. M. Khibary
{"title":"Approximate ω-orthogonality and ω-derivation","authors":"M. Amyari, M. M. Khibary","doi":"10.7153/MIA-2021-24-32","DOIUrl":"https://doi.org/10.7153/MIA-2021-24-32","url":null,"abstract":". We introduce the notion of approximate ω -orthogonality (referring to the numerical radius ω ) and investigate its signi fi cant properties. Let T , S ∈ B ( H ) and ε ∈ [ 0 , 1 ) . We say that T is approximate ω -orthogonality to S and we write T ⊥ εω S if ω 2 ( T + λ S ) (cid:2) ω 2 ( T ) − 2 εω ( T ) ω ( λ S ) , for all λ ∈ C . We show that T ⊥ εω S if and only if inf θ ∈ [ 0 , 2 π ) D θω ( T , S ) (cid:2) − εω ( T ) ω ( S ) in which D θω ( T , S ) = lim r → 0 + ω 2 ( T + re i θ S ) − ω 2 ( T ) 2 r ; and this occurs if and only if for every θ ∈ [ 0 , 2 π ) , there exists a sequence { x θ n } of unit vectors in H such that and where ω ( T ) is the numerical radius of T . ,","PeriodicalId":49868,"journal":{"name":"Mathematical Inequalities & Applications","volume":"1 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71204199","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Harnack inequalities for functional SDEs driven by subordinate multifractional Brownian motion 从属多分数布朗运动驱动的泛函SDEs的Harnack不等式
IF 1 4区 数学
Mathematical Inequalities & Applications Pub Date : 2021-01-01 DOI: 10.7153/mia-2021-24-80
Zhi Li, Li an Yan, Lip ng Xu
{"title":"Harnack inequalities for functional SDEs driven by subordinate multifractional Brownian motion","authors":"Zhi Li, Li an Yan, Lip ng Xu","doi":"10.7153/mia-2021-24-80","DOIUrl":"https://doi.org/10.7153/mia-2021-24-80","url":null,"abstract":". Being base on the Girsanov theorem for multifractional Brownian motion, which can be constructed by the multifractional derivative operator, we establish the Harnack inequalities for a class of stochastic functional differential equations driven by subordinate multifractional Brownian motion by an approximation technique.","PeriodicalId":49868,"journal":{"name":"Mathematical Inequalities & Applications","volume":"7 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71204936","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Proofs of conjectures of Elezović; and Vukšić concerning the inequalities for means elezoviki猜想的证明;和Vukšić关于方法的不平等
IF 1 4区 数学
Mathematical Inequalities & Applications Pub Date : 2021-01-01 DOI: 10.7153/MIA-2021-24-01
Xue Han, Chao-Ping Chen
{"title":"Proofs of conjectures of Elezović; and Vukšić concerning the inequalities for means","authors":"Xue Han, Chao-Ping Chen","doi":"10.7153/MIA-2021-24-01","DOIUrl":"https://doi.org/10.7153/MIA-2021-24-01","url":null,"abstract":". By using the asymptotic expansion method, Elezovi´c and Vuk ˇ si´c conjectured certain inequalities related to Neuman-S´andor mean. The aim of this paper is to offer a proof of these inequalities.","PeriodicalId":49868,"journal":{"name":"Mathematical Inequalities & Applications","volume":"1 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71203550","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A note on integral representation of some generalized zeta functions and its consequences 一些广义ζ函数的积分表示及其结果的注释
IF 1 4区 数学
Mathematical Inequalities & Applications Pub Date : 2021-01-01 DOI: 10.7153/MIA-2021-24-17
K. Mehrez
{"title":"A note on integral representation of some generalized zeta functions and its consequences","authors":"K. Mehrez","doi":"10.7153/MIA-2021-24-17","DOIUrl":"https://doi.org/10.7153/MIA-2021-24-17","url":null,"abstract":". The main focus of the present note is to establish new integral representation for the Hurwitz-Lerch zeta and the multi-parameter Hurwitz-Lerch zeta functions. In particular, new integral expression of the polylogarithm function and the Fox-Wright function are derived. In addition, closed integral form expression of the moment generating function of a zeta distribution is established. As application, we derive the complete monotonicity properties of two classes of function related to the Hurwitz-Lerch zeta and the polylogarithm function. Moreover, some inequalities involving these two functions are proved.","PeriodicalId":49868,"journal":{"name":"Mathematical Inequalities & Applications","volume":"1 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71203896","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Orlicz dual logarithmic Minkowki inequality Orlicz对偶对数Minkowki不等式
IF 1 4区 数学
Mathematical Inequalities & Applications Pub Date : 2021-01-01 DOI: 10.7153/mia-2021-24-72
Chang-Jian Zhao
{"title":"Orlicz dual logarithmic Minkowki inequality","authors":"Chang-Jian Zhao","doi":"10.7153/mia-2021-24-72","DOIUrl":"https://doi.org/10.7153/mia-2021-24-72","url":null,"abstract":"","PeriodicalId":49868,"journal":{"name":"Mathematical Inequalities & Applications","volume":"1 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71204719","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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