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The problem of taste to the experimental test 实验测试的味道问题
IF 1.6 1区 哲学
ANALYSIS Pub Date : 2024-01-29 DOI: 10.1093/analys/anad046
Filippo Contesi, Enrico Terrone, Marta Campdelacreu, Ramón García-Moya, Genoveva Martí
{"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}
引用次数: 0
Consequences of an infinite Fourier cosine transform-based Ramanujan integral 基于无限傅立叶余弦变换的拉曼努强积分的后果
IF 1.6 1区 哲学
ANALYSIS Pub Date : 2024-01-11 DOI: 10.1515/anly-2023-0056
S. Dar, M. Kamarujjama, W. M. Shah, Daud
{"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}
引用次数: 0
Fractional integral inequalities for the s-(κ,H)-convex function s-(κ,H)凸函数的分数积分不等式
IF 1.6 1区 哲学
ANALYSIS Pub Date : 2024-01-11 DOI: 10.1515/anly-2023-0061
Jeet B. Gajera, R. Jana
{"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}
引用次数: 0
Logic in the deep end 深入浅出的逻辑
IF 1.6 1区 哲学
ANALYSIS Pub Date : 2024-01-08 DOI: 10.1093/analys/anad060
Graham Leach-Krouse, Shay Allen Logan, Blane Worley
{"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}
引用次数: 0
Some properties of Ψ-gamma, Ψ-beta and Ψ-hypergeometric matrix functions Ψ-伽马、Ψ-贝塔和Ψ-超几何矩阵函数的一些性质
IF 1.6 1区 哲学
ANALYSIS Pub Date : 2024-01-03 DOI: 10.1515/anly-2023-0068
Ashish Verma, K. Yadav, Bhagwat Sharan, D.L. Suthar
{"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}
引用次数: 0
Titchmarsh and Boas-type theorems related to (κ,n)-Fourier transform 与 (κ,n)-Fourier 变换相关的 Titchmarsh 和 Boas 型定理
IF 1.6 1区 哲学
ANALYSIS Pub Date : 2024-01-03 DOI: 10.1515/anly-2023-0045
Mehrez Mannai, S. Negzaoui
{"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}
引用次数: 0
Some properties of Ψ-gamma, Ψ-beta and Ψ-hypergeometric matrix functions Ψ-伽马、Ψ-贝塔和Ψ-超几何矩阵函数的一些性质
IF 1.6 1区 哲学
ANALYSIS Pub Date : 2024-01-03 DOI: 10.1515/anly-2023-0068
Ashish Verma, K. Yadav, Bhagwat Sharan, D.L. Suthar
{"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}
引用次数: 0
Titchmarsh and Boas-type theorems related to (κ,n)-Fourier transform 与 (κ,n)-Fourier 变换有关的 Titchmarsh 和 Boas 型定理
IF 1.6 1区 哲学
ANALYSIS Pub Date : 2024-01-03 DOI: 10.1515/anly-2023-0045
Mehrez Mannai, S. Negzaoui
{"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}
引用次数: 0
Characterization of lacunary ℐ-convergent sequences in credibility space 可信空间中裂隙ℐ-收敛序列的特征
IF 1.6 1区 哲学
ANALYSIS Pub Date : 2024-01-03 DOI: 10.1515/anly-2023-0084
Mousami Das, Ömer Kişi, B. Tripathy, Birojit Das
{"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}
引用次数: 0
Characterization of lacunary ℐ-convergent sequences in credibility space 可信空间中裂隙ℐ-收敛序列的特征
IF 1.6 1区 哲学
ANALYSIS Pub Date : 2024-01-03 DOI: 10.1515/anly-2023-0084
Mousami Das, Ömer Kişi, B. Tripathy, Birojit Das
{"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}
引用次数: 0
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