Filippo Contesi, Enrico Terrone, Marta Campdelacreu, Ramón García-Moya, Genoveva Martí
A series of recent experimental studies have cast doubt on the existence of a traditional tension that aestheticians have noted in our aesthetic judgements and practices, namely the problem of taste. The existence of the problem has been acknowledged since Hume and Kant, though not enough has been done to analyse it in depth. In this paper, we remedy this by proposing six possible conceptualizations of it. Drawing on our analysis of the problem of taste, we argue that the experimental results in question are not a real challenge to its existence. By contrast, they provide empirical evidence in its support.
{"title":"The problem of taste to the experimental test","authors":"Filippo Contesi, Enrico Terrone, Marta Campdelacreu, Ramón García-Moya, Genoveva Martí","doi":"10.1093/analys/anad046","DOIUrl":"https://doi.org/10.1093/analys/anad046","url":null,"abstract":"A series of recent experimental studies have cast doubt on the existence of a traditional tension that aestheticians have noted in our aesthetic judgements and practices, namely the problem of taste. The existence of the problem has been acknowledged since Hume and Kant, though not enough has been done to analyse it in depth. In this paper, we remedy this by proposing six possible conceptualizations of it. Drawing on our analysis of the problem of taste, we argue that the experimental results in question are not a real challenge to its existence. By contrast, they provide empirical evidence in its support.","PeriodicalId":47773,"journal":{"name":"ANALYSIS","volume":"20 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2024-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139584170","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Abstract In this paper, we express a generalization of the Ramanujan integral I ( α ) {I(alpha)} with the analytical solutions, using the Laplace transform technique and some algebraic relation or the Pochhammer symbol. Moreover, we evaluate some consequences of a generalized definite integral ϕ * ( υ , β , a ) {phi^{*}(upsilon,beta,a)} . The well-known special cases appeared, whose solutions are possible by Cauchy’s residue theorem, and many known applications of the integral I ( a , β , υ ) {I(a,beta,upsilon)} are discussed by the Leibniz rule for differentiation under the sign of integration. Further, one closed-form evaluation of the infinite series of the F 0 1 ( ⋅ ) {{}_{1}F_{0}(,cdot,)} function is deduced. In addition, we establish some integral expressions in terms of the Euler numbers, which are not available in the tables of the book of Gradshteyn and Ryzhik.
摘要 本文利用拉普拉斯变换技术和一些代数关系或波哈默符号，用解析解表达了拉马努强积分 I ( α ) {I(alpha)} 的广义。此外，我们还评估了广义定积分 ϕ * ( υ , β , a ) {phi^{*}(upsilon,beta,a)} 的一些后果。出现了众所周知的特例，这些特例的解可以通过考奇残差定理求得，而且积分 I ( a , β , υ ) {I(a,beta,upsilon)} 的许多已知应用都是通过积分符号下微分的莱布尼兹法则来讨论的。此外，我们还推导出了 F 0 1 ( ⋅ ) {{}_{1}F_{0}(,cdot,)} 函数无穷级数的一个闭式求值。此外，我们还建立了一些以欧拉数为单位的积分表达式，这些表达式在格拉德什泰因和雷日克的书中是没有的。
{"title":"Consequences of an infinite Fourier cosine transform-based Ramanujan integral","authors":"S. Dar, M. Kamarujjama, W. M. Shah, Daud","doi":"10.1515/anly-2023-0056","DOIUrl":"https://doi.org/10.1515/anly-2023-0056","url":null,"abstract":"Abstract In this paper, we express a generalization of the Ramanujan integral I ( α ) {I(alpha)} with the analytical solutions, using the Laplace transform technique and some algebraic relation or the Pochhammer symbol. Moreover, we evaluate some consequences of a generalized definite integral ϕ * ( υ , β , a ) {phi^{*}(upsilon,beta,a)} . The well-known special cases appeared, whose solutions are possible by Cauchy’s residue theorem, and many known applications of the integral I ( a , β , υ ) {I(a,beta,upsilon)} are discussed by the Leibniz rule for differentiation under the sign of integration. Further, one closed-form evaluation of the infinite series of the F 0 1 ( ⋅ ) {{}_{1}F_{0}(,cdot,)} function is deduced. In addition, we establish some integral expressions in terms of the Euler numbers, which are not available in the tables of the book of Gradshteyn and Ryzhik.","PeriodicalId":47773,"journal":{"name":"ANALYSIS","volume":"23 4","pages":""},"PeriodicalIF":1.6,"publicationDate":"2024-01-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139438669","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Abstract Establishing a new integral inequality for the Riemann–Liouville fractional integral operator is the main objective of this paper. For twice differentiable s- ( κ , H ) {(kappa,H)} -convex functions, we present a number of new inequalities that are connected to the Hermite–Hadamard integral inequality.
摘要 本文的主要目的是为黎曼-刘维尔分数积分算子建立新的积分不等式。对于两次可微的 s- ( κ , H ) {(kappa,H)} -凸函数，我们提出了一些与赫米特-哈达马德积分不等式相关联的新不等式。
{"title":"Fractional integral inequalities for the s-(κ,H)-convex function","authors":"Jeet B. Gajera, R. Jana","doi":"10.1515/anly-2023-0061","DOIUrl":"https://doi.org/10.1515/anly-2023-0061","url":null,"abstract":"Abstract Establishing a new integral inequality for the Riemann–Liouville fractional integral operator is the main objective of this paper. For twice differentiable s- ( κ , H ) {(kappa,H)} -convex functions, we present a number of new inequalities that are connected to the Hermite–Hadamard integral inequality.","PeriodicalId":47773,"journal":{"name":"ANALYSIS","volume":"4 6","pages":""},"PeriodicalIF":1.6,"publicationDate":"2024-01-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139438514","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Graham Leach-Krouse, Shay Allen Logan, Blane Worley
Weak enough relevant logics are often closed under depth substitutions. To determine the breadth of logics with this feature, we show there is a largest sublogic of R closed under depth substitutions and that this logic can be recursively axiomatized.
足够弱的相关逻辑通常在深度替换下是封闭的。为了确定具有这一特征的逻辑的广度，我们证明存在一个在深度置换下封闭的 R 的最大子逻辑，并且这一逻辑可以被递归公理化。
{"title":"Logic in the deep end","authors":"Graham Leach-Krouse, Shay Allen Logan, Blane Worley","doi":"10.1093/analys/anad060","DOIUrl":"https://doi.org/10.1093/analys/anad060","url":null,"abstract":"Weak enough relevant logics are often closed under depth substitutions. To determine the breadth of logics with this feature, we show there is a largest sublogic of R closed under depth substitutions and that this logic can be recursively axiomatized.","PeriodicalId":47773,"journal":{"name":"ANALYSIS","volume":"35 3","pages":""},"PeriodicalIF":1.6,"publicationDate":"2024-01-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139410015","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Ashish Verma, K. Yadav, Bhagwat Sharan, D.L. Suthar
Abstract In this paper, we investigate the matrix analogues of the Ψ-beta and Ψ-gamma functions, as well as their properties. With the help of the Ψ-beta matrix function (BMF), we introduce the Ψ-Gauss hypergeometric matrix function (GHMF) and the Ψ-Kummer hypergeometric matrix function (KHMF) and derive certain properties for these matrix functions. Finally, the Ψ-Appell and the Ψ-Lauricella matrix functions are defined by applications of the Ψ-BMF, and their integral representations are also given.
{"title":"Some properties of Ψ-gamma, Ψ-beta and Ψ-hypergeometric matrix functions","authors":"Ashish Verma, K. Yadav, Bhagwat Sharan, D.L. Suthar","doi":"10.1515/anly-2023-0068","DOIUrl":"https://doi.org/10.1515/anly-2023-0068","url":null,"abstract":"Abstract In this paper, we investigate the matrix analogues of the Ψ-beta and Ψ-gamma functions, as well as their properties. With the help of the Ψ-beta matrix function (BMF), we introduce the Ψ-Gauss hypergeometric matrix function (GHMF) and the Ψ-Kummer hypergeometric matrix function (KHMF) and derive certain properties for these matrix functions. Finally, the Ψ-Appell and the Ψ-Lauricella matrix functions are defined by applications of the Ψ-BMF, and their integral representations are also given.","PeriodicalId":47773,"journal":{"name":"ANALYSIS","volume":"39 7","pages":""},"PeriodicalIF":1.6,"publicationDate":"2024-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139112436","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Abstract The aim of this paper is to prove a generalization of Titchmarsh’s theorems for the generalized Fourier transform called ( κ , n {kappa,n} )-Fourier transform, where n is a positive integer and κ is a constant coming from Dunkl theory. As an application, we derive a ( κ , n ) {(kappa,n)} -Fourier multiplier theorem for L 2 {L^{2}} Lipschitz spaces. Moreover, we give necessary conditions to ensure that f belongs to either one of the generalized Lipschitz classes of order m. This allows us to establish the analogue of the Boas-type result for ℱ κ , n {mathcal{F}_{kappa,n}} .
摘要 本文旨在证明 Titchmarsh 定理对广义傅里叶变换 ( κ , n {kappa,n} )-Fourier 变换的推广，其中 n 为正整数，κ 为来自 Dunkl 理论的常数。作为应用，我们推导出 L 2 {L^{2}} 的 ( κ , n ) {(kappa,n)} - 傅立叶乘数定理。Lipschitz 空间的傅里叶乘数定理。此外，我们给出了必要条件，以确保 f 属于阶数为 m 的广义 Lipschitz 类中的任意一类。这使得我们可以为 ℱ κ , n {mathcal{F}_{kappa,n}} 建立类似的 Boas 型结果。.
{"title":"Titchmarsh and Boas-type theorems related to (κ,n)-Fourier transform","authors":"Mehrez Mannai, S. Negzaoui","doi":"10.1515/anly-2023-0045","DOIUrl":"https://doi.org/10.1515/anly-2023-0045","url":null,"abstract":"Abstract The aim of this paper is to prove a generalization of Titchmarsh’s theorems for the generalized Fourier transform called ( κ , n {kappa,n} )-Fourier transform, where n is a positive integer and κ is a constant coming from Dunkl theory. As an application, we derive a ( κ , n ) {(kappa,n)} -Fourier multiplier theorem for L 2 {L^{2}} Lipschitz spaces. Moreover, we give necessary conditions to ensure that f belongs to either one of the generalized Lipschitz classes of order m. This allows us to establish the analogue of the Boas-type result for ℱ κ , n {mathcal{F}_{kappa,n}} .","PeriodicalId":47773,"journal":{"name":"ANALYSIS","volume":"39 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2024-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139112437","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Ashish Verma, K. Yadav, Bhagwat Sharan, D.L. Suthar
Abstract In this paper, we investigate the matrix analogues of the Ψ-beta and Ψ-gamma functions, as well as their properties. With the help of the Ψ-beta matrix function (BMF), we introduce the Ψ-Gauss hypergeometric matrix function (GHMF) and the Ψ-Kummer hypergeometric matrix function (KHMF) and derive certain properties for these matrix functions. Finally, the Ψ-Appell and the Ψ-Lauricella matrix functions are defined by applications of the Ψ-BMF, and their integral representations are also given.
{"title":"Some properties of Ψ-gamma, Ψ-beta and Ψ-hypergeometric matrix functions","authors":"Ashish Verma, K. Yadav, Bhagwat Sharan, D.L. Suthar","doi":"10.1515/anly-2023-0068","DOIUrl":"https://doi.org/10.1515/anly-2023-0068","url":null,"abstract":"Abstract In this paper, we investigate the matrix analogues of the Ψ-beta and Ψ-gamma functions, as well as their properties. With the help of the Ψ-beta matrix function (BMF), we introduce the Ψ-Gauss hypergeometric matrix function (GHMF) and the Ψ-Kummer hypergeometric matrix function (KHMF) and derive certain properties for these matrix functions. Finally, the Ψ-Appell and the Ψ-Lauricella matrix functions are defined by applications of the Ψ-BMF, and their integral representations are also given.","PeriodicalId":47773,"journal":{"name":"ANALYSIS","volume":"39 7","pages":""},"PeriodicalIF":1.6,"publicationDate":"2024-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139112689","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Abstract The aim of this paper is to prove a generalization of Titchmarsh’s theorems for the generalized Fourier transform called ( κ , n {kappa,n} )-Fourier transform, where n is a positive integer and κ is a constant coming from Dunkl theory. As an application, we derive a ( κ , n ) {(kappa,n)} -Fourier multiplier theorem for L 2 {L^{2}} Lipschitz spaces. Moreover, we give necessary conditions to ensure that f belongs to either one of the generalized Lipschitz classes of order m. This allows us to establish the analogue of the Boas-type result for ℱ κ , n {mathcal{F}_{kappa,n}} .
摘要 本文旨在证明 Titchmarsh 定理对广义傅里叶变换 ( κ , n {kappa,n} )-Fourier 变换的推广，其中 n 为正整数，κ 为来自 Dunkl 理论的常数。作为应用，我们推导出 L 2 {L^{2}} 的 ( κ , n ) {(kappa,n)} - 傅立叶乘数定理。Lipschitz 空间的傅里叶乘数定理。此外，我们给出了必要条件，以确保 f 属于阶数为 m 的广义 Lipschitz 类中的任意一类。这使得我们可以为 ℱ κ , n {mathcal{F}_{kappa,n}} 建立类似的 Boas 型结果。.
{"title":"Titchmarsh and Boas-type theorems related to (κ,n)-Fourier transform","authors":"Mehrez Mannai, S. Negzaoui","doi":"10.1515/anly-2023-0045","DOIUrl":"https://doi.org/10.1515/anly-2023-0045","url":null,"abstract":"Abstract The aim of this paper is to prove a generalization of Titchmarsh’s theorems for the generalized Fourier transform called ( κ , n {kappa,n} )-Fourier transform, where n is a positive integer and κ is a constant coming from Dunkl theory. As an application, we derive a ( κ , n ) {(kappa,n)} -Fourier multiplier theorem for L 2 {L^{2}} Lipschitz spaces. Moreover, we give necessary conditions to ensure that f belongs to either one of the generalized Lipschitz classes of order m. This allows us to establish the analogue of the Boas-type result for ℱ κ , n {mathcal{F}_{kappa,n}} .","PeriodicalId":47773,"journal":{"name":"ANALYSIS","volume":"39 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2024-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139113053","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Abstract This research paper aims to introduce the concept of lacunary ideal Cauchy sequences of fuzzy variables in a credibility space. We establish the interrelationships between this notion with lacunary ideal convergent sequences in the same structure from several aspects of credibility. Furthermore, we explore the concepts of strongly lacunary Cauchy, strongly ℐ {mathcal{I}} -lacunary Cauchy, and strongly ℐ ∗ {mathcal{I}^{ast}} -lacunary Cauchy sequences of fuzzy variables within the context of credibility. We also examine the interconnections between these concepts and analyze their relationships.
{"title":"Characterization of lacunary ℐ-convergent sequences in credibility space","authors":"Mousami Das, Ömer Kişi, B. Tripathy, Birojit Das","doi":"10.1515/anly-2023-0084","DOIUrl":"https://doi.org/10.1515/anly-2023-0084","url":null,"abstract":"Abstract This research paper aims to introduce the concept of lacunary ideal Cauchy sequences of fuzzy variables in a credibility space. We establish the interrelationships between this notion with lacunary ideal convergent sequences in the same structure from several aspects of credibility. Furthermore, we explore the concepts of strongly lacunary Cauchy, strongly ℐ {mathcal{I}} -lacunary Cauchy, and strongly ℐ ∗ {mathcal{I}^{ast}} -lacunary Cauchy sequences of fuzzy variables within the context of credibility. We also examine the interconnections between these concepts and analyze their relationships.","PeriodicalId":47773,"journal":{"name":"ANALYSIS","volume":"27 3","pages":""},"PeriodicalIF":1.6,"publicationDate":"2024-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139113810","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Abstract This research paper aims to introduce the concept of lacunary ideal Cauchy sequences of fuzzy variables in a credibility space. We establish the interrelationships between this notion with lacunary ideal convergent sequences in the same structure from several aspects of credibility. Furthermore, we explore the concepts of strongly lacunary Cauchy, strongly ℐ {mathcal{I}} -lacunary Cauchy, and strongly ℐ ∗ {mathcal{I}^{ast}} -lacunary Cauchy sequences of fuzzy variables within the context of credibility. We also examine the interconnections between these concepts and analyze their relationships.
{"title":"Characterization of lacunary ℐ-convergent sequences in credibility space","authors":"Mousami Das, Ömer Kişi, B. Tripathy, Birojit Das","doi":"10.1515/anly-2023-0084","DOIUrl":"https://doi.org/10.1515/anly-2023-0084","url":null,"abstract":"Abstract This research paper aims to introduce the concept of lacunary ideal Cauchy sequences of fuzzy variables in a credibility space. We establish the interrelationships between this notion with lacunary ideal convergent sequences in the same structure from several aspects of credibility. Furthermore, we explore the concepts of strongly lacunary Cauchy, strongly ℐ {mathcal{I}} -lacunary Cauchy, and strongly ℐ ∗ {mathcal{I}^{ast}} -lacunary Cauchy sequences of fuzzy variables within the context of credibility. We also examine the interconnections between these concepts and analyze their relationships.","PeriodicalId":47773,"journal":{"name":"ANALYSIS","volume":"27 3","pages":""},"PeriodicalIF":1.6,"publicationDate":"2024-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139114517","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：