Pub Date : 2024-09-02DOI: 10.2989/16073606.2024.2396517
Enas M. Shehata, Rasha M. El Zafarani
Let the function β be strictly increasing and continuous on an interval I ⊂ ℝ. The β-difference operator is defined by Dβ f (t) = (f(β(t)) − f(t)/(β(t) – t), where t ≠ β(t), and Dβ f (t) = f′ t(t) ...
设函数 β 在区间 I ⊂ ℝ 上严格递增且连续。β 差分算子的定义是 Dβ f (t) = (f(β(t))- f(t)/(β(t)-t)，其中 t≠ β(t)，且 Dβ f (t) = f′ t(t) ...
{"title":"Taylor theory in quantum calculus: a general approach","authors":"Enas M. Shehata, Rasha M. El Zafarani","doi":"10.2989/16073606.2024.2396517","DOIUrl":"https://doi.org/10.2989/16073606.2024.2396517","url":null,"abstract":"Let the function β be strictly increasing and continuous on an interval I ⊂ ℝ. The β-difference operator is defined by Dβ f (t) = (f(β(t)) − f(t)/(β(t) – t), where t ≠ β(t), and Dβ f (t) = f′ t(t) ...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":"12 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142184102","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}
Pub Date : 2024-09-02DOI: 10.2989/16073606.2024.2397562
Abdelkader Frakis, Fuad Kittaneh
In this work, we give some p-numerical radius inequalities for operators as well as for commutators of operators. As applications, when p = ∞, we improve some earlier numerical radius inequalities ...
在这项工作中，我们给出了算子以及算子换元的一些 p 数值半径不等式。作为应用，当 p = ∞ 时，我们改进了先前的一些数值半径不等式 ...
{"title":"On p-numerical radius inequalities for commutators of operators","authors":"Abdelkader Frakis, Fuad Kittaneh","doi":"10.2989/16073606.2024.2397562","DOIUrl":"https://doi.org/10.2989/16073606.2024.2397562","url":null,"abstract":"In this work, we give some p-numerical radius inequalities for operators as well as for commutators of operators. As applications, when p = ∞, we improve some earlier numerical radius inequalities ...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":"34 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142184101","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}
Pub Date : 2024-09-02DOI: 10.2989/16073606.2024.2397723
Jasmina Ferme, Daša Mesarič Štesl
In 2021, we introduced one type of the generalization of dominator coloring via packing coloring and distance domination. In this paper, we present a second type of such generalization, namely dist...
{"title":"Distance dominator packing coloring of type II","authors":"Jasmina Ferme, Daša Mesarič Štesl","doi":"10.2989/16073606.2024.2397723","DOIUrl":"https://doi.org/10.2989/16073606.2024.2397723","url":null,"abstract":"In 2021, we introduced one type of the generalization of dominator coloring via packing coloring and distance domination. In this paper, we present a second type of such generalization, namely dist...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":"67 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142184187","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}
Pub Date : 2024-09-02DOI: 10.2989/16073606.2024.2395376
Deepika Baweja, Jahir Abbas Sardar
In this paper, we investigate the approximation property for the predual of the weighted space of holomorphic mappings, where is a countable family of weights defined on a balanced open subset U...
在本文中，我们研究了全形映射加权空间前元的近似性质，其中是定义在平衡开放子集 U 上的可数加权族。
{"title":"The approximation property for the predual of weighted spaces of holomorphic mappings on Banach spaces","authors":"Deepika Baweja, Jahir Abbas Sardar","doi":"10.2989/16073606.2024.2395376","DOIUrl":"https://doi.org/10.2989/16073606.2024.2395376","url":null,"abstract":"In this paper, we investigate the approximation property for the predual of the weighted space of holomorphic mappings, where is a countable family of weights defined on a balanced open subset U...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":"15 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142223874","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}
Pub Date : 2024-09-02DOI: 10.2989/16073606.2024.2395377
Ji-jun Ao, Fei-fan Li
This paper aims to investigate a class of boundary value problems generated by a third-order differential equation with distributional potentials and some dissipative boundary conditions. We first ...
{"title":"On a class of third-order dissipative differential operator with distributional potentials","authors":"Ji-jun Ao, Fei-fan Li","doi":"10.2989/16073606.2024.2395377","DOIUrl":"https://doi.org/10.2989/16073606.2024.2395377","url":null,"abstract":"This paper aims to investigate a class of boundary value problems generated by a third-order differential equation with distributional potentials and some dissipative boundary conditions. We first ...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":"2 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142223879","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}
Pub Date : 2024-09-02DOI: 10.2989/16073606.2024.2394140
Huanhuan Ding, Chenghua Gao, Xingyue He
This paper is devoted to studying the coupled system of multiparameter k-Hessian equationswhere B = {x ∈ ℝn : |x| < 1}, λ1, λ2 are positive parameters, ρi(i = 1, 2) is singular near the boundary ∂B...
{"title":"Nontrivial solutions for multiparameter k-Hessian systems","authors":"Huanhuan Ding, Chenghua Gao, Xingyue He","doi":"10.2989/16073606.2024.2394140","DOIUrl":"https://doi.org/10.2989/16073606.2024.2394140","url":null,"abstract":"This paper is devoted to studying the coupled system of multiparameter k-Hessian equationswhere B = {x ∈ ℝn : |x| < 1}, λ1, λ2 are positive parameters, ρi(i = 1, 2) is singular near the boundary ∂B...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":"10 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142184099","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}
Pub Date : 2024-09-02DOI: 10.2989/16073606.2024.2395387
Anass Assarrar, Najib Mahdou
Our present work is motivated by several papers which have introduced and studied the notion of nonnil-Noetherian rings. Let A = ⊕α∈G Aα be a commutative ring with unity graded by an arbitrary comm...
我们目前的工作是受几篇介绍和研究非零诺特环概念的论文的启发而进行的。假设 A = ⊕α∈G Aα 是一个交换环，其统一性被一个任意的交换...
{"title":"On graded-nonnil-Noetherian commutative rings","authors":"Anass Assarrar, Najib Mahdou","doi":"10.2989/16073606.2024.2395387","DOIUrl":"https://doi.org/10.2989/16073606.2024.2395387","url":null,"abstract":"Our present work is motivated by several papers which have introduced and studied the notion of nonnil-Noetherian rings. Let A = ⊕α∈G Aα be a commutative ring with unity graded by an arbitrary comm...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":"1659 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142184104","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}
Pub Date : 2024-09-02DOI: 10.2989/16073606.2024.2397069
Amartya Goswami
The aim of this series of papers is to study z-ideals of semirings. In this article, we introduce some distinguished classes of z-ideals of semirings, which include z-prime, z-semiprime, z-irreduci...
{"title":"On z-ideals and z-closure operations of semirings, I","authors":"Amartya Goswami","doi":"10.2989/16073606.2024.2397069","DOIUrl":"https://doi.org/10.2989/16073606.2024.2397069","url":null,"abstract":"The aim of this series of papers is to study z-ideals of semirings. In this article, we introduce some distinguished classes of z-ideals of semirings, which include z-prime, z-semiprime, z-irreduci...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":"23 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142184100","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}
Pub Date : 2024-09-02DOI: 10.2989/16073606.2024.2396026
Pradeep Das, Abhishek Juyal, Dustin Moody
A tangential quadrilateral is a convex quadrilateral whose sides are simultaneously tangent to a single circle. In this paper, the primary objective is to construct rational tangential quadrilatera...
切线四边形是一个凸四边形，其边同时与一个圆相切。本文的主要目标是构建合理的切线四边形。
{"title":"A note on tangential quadrilaterals","authors":"Pradeep Das, Abhishek Juyal, Dustin Moody","doi":"10.2989/16073606.2024.2396026","DOIUrl":"https://doi.org/10.2989/16073606.2024.2396026","url":null,"abstract":"A tangential quadrilateral is a convex quadrilateral whose sides are simultaneously tangent to a single circle. In this paper, the primary objective is to construct rational tangential quadrilatera...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":"11 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142184103","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}
Pub Date : 2024-09-02DOI: 10.2989/16073606.2024.2392242
Teng Zhang
In 1994, Bergelson and Hindman established a remarkable result for IP* sets: for any IP* set A and any sequence l in ℕ, there exists a sum subsystem l′ of l such that all finite sums and finite pro...
1994 年，伯格森和辛德曼为 IP* 集建立了一个非凡的结果：对于任何 IP* 集 A 和ℕ 中的任何序列 l，都存在一个 l 的和子系统 l′，使得所有有限和与有限原...
{"title":"Two new algebraic structures more general than weak rings","authors":"Teng Zhang","doi":"10.2989/16073606.2024.2392242","DOIUrl":"https://doi.org/10.2989/16073606.2024.2392242","url":null,"abstract":"In 1994, Bergelson and Hindman established a remarkable result for IP* sets: for any IP* set A and any sequence l in ℕ, there exists a sum subsystem l′ of l such that all finite sums and finite pro...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":"23 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142184106","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}
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