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Journal of Inequalities and Applications最新文献

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Multiplicity of solutions for fractional (p ( z ) )-Kirchhoff-type equation 分数(p ( z ) )-基尔霍夫型方程解的多重性
IF 1.6 3区 数学
Journal of Inequalities and Applications Pub Date : 2024-04-04 DOI: 10.1186/s13660-024-03131-3
Tahar Bouali, Rafik Guefaifia, Salah Boulaaras
{"title":"Multiplicity of solutions for fractional (p ( z ) )-Kirchhoff-type equation","authors":"Tahar Bouali, Rafik Guefaifia, Salah Boulaaras","doi":"10.1186/s13660-024-03131-3","DOIUrl":"https://doi.org/10.1186/s13660-024-03131-3","url":null,"abstract":"This work deals with the existence and multiplicity of solutions for a class of variable-exponent equations involving the Kirchhoff term in variable-exponent Sobolev spaces according to some conditions, where we used the sub-supersolutions method combined with the mountain pass theory.","PeriodicalId":16088,"journal":{"name":"Journal of Inequalities and Applications","volume":"147 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2024-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140575075","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Hyperstability of Cauchy and Jensen functional equations in 2-normed spaces 2 规范空间中考希和詹森函数方程的超稳定性
IF 1.6 3区 数学
Journal of Inequalities and Applications Pub Date : 2024-04-03 DOI: 10.1186/s13660-024-03116-2
Abbas Najati, Yavar Khedmati Yengejeh, Kandhasamy Tamilvanan, Masho Jima Kabeto
{"title":"Hyperstability of Cauchy and Jensen functional equations in 2-normed spaces","authors":"Abbas Najati, Yavar Khedmati Yengejeh, Kandhasamy Tamilvanan, Masho Jima Kabeto","doi":"10.1186/s13660-024-03116-2","DOIUrl":"https://doi.org/10.1186/s13660-024-03116-2","url":null,"abstract":"In this article, with simple and short proofs without applying fixed point theorems, some hyperstability results corresponding to the functional equations of Cauchy and Jensen are presented in 2-normed spaces. We also obtain some results on hyperstability for the general linear functional equation $f(ax+by)=Af(x)+Bf(y)+C$ .","PeriodicalId":16088,"journal":{"name":"Journal of Inequalities and Applications","volume":"4 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2024-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140575073","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Ground state normalized solutions to the Kirchhoff equation with general nonlinearities: mass supercritical case 具有一般非线性的基尔霍夫方程的基态归一化解：质量超临界情况
IF 1.6 3区 数学
Journal of Inequalities and Applications Pub Date : 2024-04-03 DOI: 10.1186/s13660-024-03086-5
Qun Wang, Aixia Qian
{"title":"Ground state normalized solutions to the Kirchhoff equation with general nonlinearities: mass supercritical case","authors":"Qun Wang, Aixia Qian","doi":"10.1186/s13660-024-03086-5","DOIUrl":"https://doi.org/10.1186/s13660-024-03086-5","url":null,"abstract":"We study the following nonlinear mass supercritical Kirchhoff equation: $$ - biggl(a+b int _{mathbb{R}^{N}} vert nabla u vert ^{2} biggr) triangle u+ mu u=f(u) quad text{in } {mathbb{R}^{N}}, $$ where $a ,b,m>0$ are prescribed, and the normalized constrain $int _{mathbb{R}^{N}}|u|^{2},dx =m$ is satisfied in the case $1leq Nleq 3$ . The nonlinearity f is more general and satisfies weak mass supercritical conditions. Under some mild assumptions, we establish the existence of ground state when $1leq Nleq 3$ and obtain infinitely many radial solutions when $2leq Nleq 3$ by constructing a particular bounded Palais–Smale sequence.","PeriodicalId":16088,"journal":{"name":"Journal of Inequalities and Applications","volume":"107 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2024-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140575276","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Bullen-type inequalities for twice-differentiable functions by using conformable fractional integrals 利用保形分式积分的二次微分函数布伦型不等式
IF 1.6 3区 数学
Journal of Inequalities and Applications Pub Date : 2024-04-02 DOI: 10.1186/s13660-024-03130-4
Fatih Hezenci, Hüseyin Budak
{"title":"Bullen-type inequalities for twice-differentiable functions by using conformable fractional integrals","authors":"Fatih Hezenci, Hüseyin Budak","doi":"10.1186/s13660-024-03130-4","DOIUrl":"https://doi.org/10.1186/s13660-024-03130-4","url":null,"abstract":"In this paper, we prove an equality for twice-differentiable convex functions involving the conformable fractional integrals. Moreover, several Bullen-type inequalities are established for twice-differentiable functions. More precisely, conformable fractional integrals are used to derive such inequalities. Furthermore, sundry significant inequalities are obtained by taking advantage of the convexity, Hölder inequality, and power-mean inequality. Finally, we provide our results by using special cases of obtained theorems.","PeriodicalId":16088,"journal":{"name":"Journal of Inequalities and Applications","volume":"18 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2024-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140575170","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Some m-fold symmetric bi-univalent function classes and their associated Taylor-Maclaurin coefficient bounds 一些多重对称双等价函数类及其相关的泰勒-麦克劳林系数边界
IF 1.6 3区 数学
Journal of Inequalities and Applications Pub Date : 2024-04-02 DOI: 10.1186/s13660-024-03114-4
Hari Mohan Srivastava, Pishtiwan Othman Sabir, Sevtap Sümer Eker, Abbas Kareem Wanas, Pshtiwan Othman Mohammed, Nejmeddine Chorfi, Dumitru Baleanu
{"title":"Some m-fold symmetric bi-univalent function classes and their associated Taylor-Maclaurin coefficient bounds","authors":"Hari Mohan Srivastava, Pishtiwan Othman Sabir, Sevtap Sümer Eker, Abbas Kareem Wanas, Pshtiwan Othman Mohammed, Nejmeddine Chorfi, Dumitru Baleanu","doi":"10.1186/s13660-024-03114-4","DOIUrl":"https://doi.org/10.1186/s13660-024-03114-4","url":null,"abstract":"The Ruscheweyh derivative operator is used in this paper to introduce and investigate interesting general subclasses of the function class $Sigma_{m}$ of m-fold symmetric bi-univalent analytic functions. Estimates of the initial Taylor-Maclaurin coefficients $vert a_{m+1} vert $ and $vert a_{2 m+1} vert $ are obtained for functions of the subclasses introduced in this study, and the consequences of the results are discussed. Additionally, the Fekete-Szegö inequalities for these classes are investigated. The results presented could generalize and improve some recent and earlier works. In some cases, our estimates are better than the existing coefficient bounds. Furthermore, within the engineering domain, the utilization of the Ruscheweyh derivative operator can encompass a broad spectrum of engineering applications, including the robotic manipulation control, optimizing optical systems, antenna array signal processing, image compression, and control system filter design. It emphasizes the potential for innovative solutions that can significantly enhance the reliability and effectiveness of engineering applications.","PeriodicalId":16088,"journal":{"name":"Journal of Inequalities and Applications","volume":"107 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2024-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140574974","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
The discrete analogue of high-order differential operator and its application to finding coefficients of optimal quadrature formulas 高阶微分算子的离散类比及其在寻找最优正交公式系数中的应用
IF 1.6 3区 数学
Journal of Inequalities and Applications Pub Date : 2024-04-02 DOI: 10.1186/s13660-024-03111-7
K. M. Shadimetov, J. R. Davronov
{"title":"The discrete analogue of high-order differential operator and its application to finding coefficients of optimal quadrature formulas","authors":"K. M. Shadimetov, J. R. Davronov","doi":"10.1186/s13660-024-03111-7","DOIUrl":"https://doi.org/10.1186/s13660-024-03111-7","url":null,"abstract":"The discrete analog of the differential operator plays a significant role in constructing interpolation, quadrature, and cubature formulas. In this work, we consider a discrete analog $D_{m}(hbeta )$ of the differential operator $frac{d^{2m}}{dx^{2m}}+1$ designed specifically for even natural numbers m. The operator’s effectiveness in constructing an optimal quadrature formula in the $L_{2}^{(2,0)}(0,1)$ space is demonstrated. The errors of the optimal quadrature formula in the $W_{2}^{(2,1)}(0,1)$ space and in the $L_{2}^{(2,0)}(0,1)$ space are compared numerically. The numerical results indicate that the optimal quadrature formula constructed in this work has a smaller error than the one constructed in the $W_{2}^{(2,1)}(0,1)$ space.","PeriodicalId":16088,"journal":{"name":"Journal of Inequalities and Applications","volume":"75 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2024-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140574973","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 surface area formula for compact hypersurfaces in (mathbb{R}^{n}) (mathbb{R}^{n})中紧凑超曲面的表面积公式
IF 1.6 3区 数学
Journal of Inequalities and Applications Pub Date : 2024-04-02 DOI: 10.1186/s13660-024-03129-x
Yen-Chang Huang
{"title":"A surface area formula for compact hypersurfaces in (mathbb{R}^{n})","authors":"Yen-Chang Huang","doi":"10.1186/s13660-024-03129-x","DOIUrl":"https://doi.org/10.1186/s13660-024-03129-x","url":null,"abstract":"The classical Cauchy surface area formula states that the surface area of the boundary $partial K=Sigma $ of any n-dimensional convex body in the n-dimensional Euclidean space $mathbb{R}^{n}$ can be obtained by the average of the projected areas of Σ along all directions in $mathbb{S}^{n-1}$ . In this note, we generalize the formula to the boundary of arbitrary n-dimensional submanifold in $mathbb{R}^{n}$ by introducing a natural notion of projected areas along any direction in $mathbb{S}^{n-1}$ . This surface area formula derived from the new notion coincides with not only the result of the Crofton formula but also with that of De Jong (Math. Semesterber. 60(1):81–83, 2013) by using a tubular neighborhood. We also define the projected r-volumes of Σ onto any r-dimensional subspaces and obtain a recursive formula for mean projected r-volumes of Σ.","PeriodicalId":16088,"journal":{"name":"Journal of Inequalities and Applications","volume":"42 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2024-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140575070","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Matrix representation of Toeplitz operators on Newton spaces 牛顿空间上托普利兹算子的矩阵表示
IF 1.6 3区 数学
Journal of Inequalities and Applications Pub Date : 2024-03-29 DOI: 10.1186/s13660-024-03126-0
Eungil Ko, Ji Eun Lee, Jongrak Lee
{"title":"Matrix representation of Toeplitz operators on Newton spaces","authors":"Eungil Ko, Ji Eun Lee, Jongrak Lee","doi":"10.1186/s13660-024-03126-0","DOIUrl":"https://doi.org/10.1186/s13660-024-03126-0","url":null,"abstract":"In this paper, we study several properties of an orthonormal basis ${N_{n}(z)}$ for the Newton space $N^{2}({mathbb{P}})$ . In particular, we investigate the product of $N_{m}$ and $N_{m}$ and the orthogonal projection P of $overline{N_{n}}N_{m}$ that maps from $L^{2}(mathbb{P})$ onto $N^{2}(mathbb{P})$ . Moreover, we find the matrix representation of Toeplitz operators with respect to such an orthonormal basis on the Newton space $N^{2}({mathbb{P}})$ .","PeriodicalId":16088,"journal":{"name":"Journal of Inequalities and Applications","volume":"54 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2024-03-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140325350","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
On the intermixed method for mixed variational inequality problems: another look and some corrections 关于混合变分不等式问题的混合法：另一种视角和一些修正
IF 1.6 3区 数学
Journal of Inequalities and Applications Pub Date : 2024-03-27 DOI: 10.1186/s13660-024-03123-3
Satit Saejung
{"title":"On the intermixed method for mixed variational inequality problems: another look and some corrections","authors":"Satit Saejung","doi":"10.1186/s13660-024-03123-3","DOIUrl":"https://doi.org/10.1186/s13660-024-03123-3","url":null,"abstract":"We explore the intermixed method for finding a common element of the intersection of the solution set of a mixed variational inequality and the fixed point set of a nonexpansive mapping. We point out that Khuangsatung and Kangtunyakarn’s statement [J. Inequal. Appl. 2023:1, 2023] regarding the resolvent utilized in their paper is not correct. To resolve this gap, we employ the epigraphical projection and the product space approach. In particular, we obtain a strong convergence theorem with a weaker assumption.","PeriodicalId":16088,"journal":{"name":"Journal of Inequalities and Applications","volume":"104 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2024-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140317063","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
On an m-dimensional system of quantum inclusions by a new computational approach and heatmap 用新的计算方法和热图研究 m 维量子夹杂系统
IF 1.6 3区 数学
Journal of Inequalities and Applications Pub Date : 2024-03-26 DOI: 10.1186/s13660-024-03125-1
Mehran Ghaderi, Shahram Rezapour
{"title":"On an m-dimensional system of quantum inclusions by a new computational approach and heatmap","authors":"Mehran Ghaderi, Shahram Rezapour","doi":"10.1186/s13660-024-03125-1","DOIUrl":"https://doi.org/10.1186/s13660-024-03125-1","url":null,"abstract":"Recent research indicates the need for improved models of physical phenomena with multiple shocks. One of the newest methods is to use differential inclusions instead of differential equations. In this work, we intend to investigate the existence of solutions for an m-dimensional system of quantum differential inclusions. To ensure the existence of the solution of inclusions, researchers typically rely on the Arzela–Ascoli and Nadler’s fixed point theorems. However, we have taken a different approach and utilized the endpoint technique of the fixed point theory to guarantee the solution’s existence. This sets us apart from other researchers who have used different methods. For a better understanding of the issue and validation of the results, we presented numerical algorithms, tables, and some figures. The paper ends with an example.","PeriodicalId":16088,"journal":{"name":"Journal of Inequalities and Applications","volume":"44 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2024-03-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140315380","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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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