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Seminorm optimal dual frames for erasures 半规范化最优双帧擦除
IF 0.8 4区 数学
Filomat Pub Date : 2023-01-01 DOI: 10.2298/fil2307051k
Z. Keyshams
{"title":"Seminorm optimal dual frames for erasures","authors":"Z. Keyshams","doi":"10.2298/fil2307051k","DOIUrl":"https://doi.org/10.2298/fil2307051k","url":null,"abstract":"The main purpose of this paper is to find other measurements for constructing optimal duals that minimize the reconstruction errors, when erasures occur. Some known results are investigated with some other measurements. Moreover, we investigate extreme points of the set of all optimal duals for 1-erasure by the seminorms. Furthermore, some examples are provided for clarification.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68271702","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
Harvesting effect on prey-predator system with strong Allee effect in prey and herd behaviour in both 捕获效应对食饵-捕食系统的影响，食饵和兽群行为均有较强的Allee效应
IF 0.8 4区 数学
Filomat Pub Date : 2023-01-01 DOI: 10.2298/fil2305561b
S. Biswas, D. Pal, G. Mahapatra
{"title":"Harvesting effect on prey-predator system with strong Allee effect in prey and herd behaviour in both","authors":"S. Biswas, D. Pal, G. Mahapatra","doi":"10.2298/fil2305561b","DOIUrl":"https://doi.org/10.2298/fil2305561b","url":null,"abstract":"In this paper, we introduce a prey-predator system with Allee effect in prey where both the prey and predator species are subject to harvesting and exhibit herd behaviour. The new idea of this paper is to consider the Allee effect, herd behaviour and harversing together. Herd behaviour may be proved as a buffer against environmental obstacles. On the contrary, Allee effect and harvesting together may wash out the population from the system. So, the optimal harvesting policy is significant for the ecosystem concerned with our proposed model. Moreover, taking some hypothetical data, a rigorous numerical illustration and sensitivity analysis of the main parameters are offered here to validate the mathematical findings. To summarise, we can say that our model is an endeavor aiming at the ecological balance in nature.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68269884","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
Approximation properties of Bernstein-Stancu operators preserving e−2x 保持e−2x的bernstein - standu算子的近似性质
IF 0.8 4区 数学
Filomat Pub Date : 2023-01-01 DOI: 10.2298/fil2305523u
F. Usta, M. Mursaleen, İbrahim Çakır
{"title":"Approximation properties of Bernstein-Stancu operators preserving e−2x","authors":"F. Usta, M. Mursaleen, İbrahim Çakır","doi":"10.2298/fil2305523u","DOIUrl":"https://doi.org/10.2298/fil2305523u","url":null,"abstract":"Bernstein-Stancu operators are one of the most powerful tool that can be used in approximation theory. In this manuscript, we propose a new construction of Bernstein-Stancu operators which preserve the constant and e?2x, x > 0. In this direction, the approximation properties of this newly defined operators have been examined in the sense of different function spaces. In addition to these, we present the Voronovskaya type theorem for this operators. At the end, we provide two computational examples to demonstrate that the new operator is an approximation procedure.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68269903","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
Fredholm linear relation and some results of demicompact for multivalued matrix linear operator 多值矩阵线性算子的Fredholm线性关系及半紧性的一些结果
IF 0.8 4区 数学
Filomat Pub Date : 2023-01-01 DOI: 10.2298/fil2305507a
A. Ammar, A. Jeribi, B. Saadaoui
{"title":"Fredholm linear relation and some results of demicompact for multivalued matrix linear operator","authors":"A. Ammar, A. Jeribi, B. Saadaoui","doi":"10.2298/fil2305507a","DOIUrl":"https://doi.org/10.2298/fil2305507a","url":null,"abstract":"The main purpose of this article is to give a relationship between Fredholm multivalued linear operators and the demicompact linear relation; we provide some sufficient conditions on the inputs of a closable block multivalued linear operator matrix to ensure the generalized demicompactness of its closure. Our results generalize many known ones in the literature.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68270148","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
On the Steklov averages in operator cosine function framework 算子余弦函数框架下的Steklov平均
IF 0.8 4区 数学
Filomat Pub Date : 2023-01-01 DOI: 10.2298/fil2305635k
A. Kivinukk, A. Šeletski
{"title":"On the Steklov averages in operator cosine function framework","authors":"A. Kivinukk, A. Šeletski","doi":"10.2298/fil2305635k","DOIUrl":"https://doi.org/10.2298/fil2305635k","url":null,"abstract":"The Steklov averages (Steklov or integral means) are used in approximation theory of functions in different aspects. This article concerns the Steklov averages by using the operator cosine function framework. The operator cosine function offers a counterpart of the translation operator, which forms the basic concept for the modulus of continuity and for some approximation processes as well. We will show that the operator cosine function concept allows to define very general Steklov averages in an abstract Banach space. The approximation properties of these generalized Steklov averages appear to be quite similar to the properties of the Steklov averages in trigonometric approximation.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68270425","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
Unified Massera type theorems for dynamic equations on time scales 时间尺度上动态方程的统一Massera型定理
IF 0.8 4区 数学
Filomat Pub Date : 2023-01-01 DOI: 10.2298/fil2308405k
H. Koyuncuoğlu
{"title":"Unified Massera type theorems for dynamic equations on time scales","authors":"H. Koyuncuoğlu","doi":"10.2298/fil2308405k","DOIUrl":"https://doi.org/10.2298/fil2308405k","url":null,"abstract":"In this paper, we aim to obtain Massera type theorems for both linear and nonlinear dynamic equations by using a generalized periodicity notion, namely (T, ?)-periodicity, on time scales. To achieve this task, first we define a new boundedness concept so-called ?-boundedness, and then we establish a linkage between the existence of ?-bounded solutions and (T, ?)-periodic solutions of dynamic equations in both linear and nonlinear cases. In our analysis, we assume that the time scale T is periodic in shifts ?? which does not need to be translation invariant. Thus, outcomes of this work are valid for a large class of time-domains not restricted to T = R or T = Z.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68272864","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
Finite Gabor systems and uncertainty principle for block sliding discrete fourier transform 有限Gabor系统与块滑动离散傅里叶变换的不确定性原理
IF 0.8 4区 数学
Filomat Pub Date : 2023-01-01 DOI: 10.2298/fil2308361p
K. Poumai, N. Khanna, S. K. Kaushik
{"title":"Finite Gabor systems and uncertainty principle for block sliding discrete fourier transform","authors":"K. Poumai, N. Khanna, S. K. Kaushik","doi":"10.2298/fil2308361p","DOIUrl":"https://doi.org/10.2298/fil2308361p","url":null,"abstract":"In this paper, we study the finite Gabor system for oversampling schemes. A characterization of dual finite Gabor tight frame using discrete time Zak transform is given. Also, a method to calculate the coefficients of the finite Gabor system expansion in the case of oversampling and a necessary and sufficient condition for the existence of biorthogonal pair of Riesz basis in l2(ZL) is given. Further, we introduce the notion of block sliding discrete Fourier transform (BSDFT) which reduces the computational complexity and give uncertainty principle for BSDFT. An uncertainty principle for two finite Parseval Gabor frames in terms of sparse representations is given. Finally, using the notion of numerical sparsity, an uncertainty principle for finite Gabor frames is given.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68273075","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
Analytical method for solving a time-conformable fractional telegraph equation 求解时间符合分数阶电报方程的解析方法
4区 数学
Filomat Pub Date : 2023-01-01 DOI: 10.2298/fil2309773a
Saad Abdelkebir, Brahim Nouiri
{"title":"Analytical method for solving a time-conformable fractional telegraph equation","authors":"Saad Abdelkebir, Brahim Nouiri","doi":"10.2298/fil2309773a","DOIUrl":"https://doi.org/10.2298/fil2309773a","url":null,"abstract":"In this paper, we present an analytical method to solve a time-conformable fractional telegraph equation with three boundary conditions namely, Dirichlet, Neumann and Robin. This method based on Fourier method and conformable fractional calculus properties. We give three examples to validate this method.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135594178","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
Large diffusivity and rate of convergence of attractors in parabolic systems 抛物型系统中吸引子的大扩散率和收敛率
4区 数学
Filomat Pub Date : 2023-01-01 DOI: 10.2298/fil2309675p
Leonardo Pires
{"title":"Large diffusivity and rate of convergence of attractors in parabolic systems","authors":"Leonardo Pires","doi":"10.2298/fil2309675p","DOIUrl":"https://doi.org/10.2298/fil2309675p","url":null,"abstract":"In this paper, we are concerned with the rate of convergence of parabolic systems with large diffusion. We exhibit the exact moment that spatial homogenization occurs and estimate the continuity of attractors by a rate of convergence. We present an example where our estimate is optimal.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135784812","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
On interpolative fuzzy contractions with applications 关于插值模糊压缩及其应用
IF 0.8 4区 数学
Filomat Pub Date : 2023-01-01 DOI: 10.2298/fil2301207m
Rafiq Muhammad, M. Shagari, A. Azam
{"title":"On interpolative fuzzy contractions with applications","authors":"Rafiq Muhammad, M. Shagari, A. Azam","doi":"10.2298/fil2301207m","DOIUrl":"https://doi.org/10.2298/fil2301207m","url":null,"abstract":"In this paper, following a new interpolation approach in fixed point theory, we introduce the concepts of interpolative Hardy-Rogers-type fuzzy contraction and interpolative Reich-Rus-Ciric type fuzzy contraction in the framework of metric spaces, and we analyze the existence of fuzzy fixed points for such contractions equipped with some suitable hypotheses. A few consequences in single-valued mappings which include the conclusion of the main result of Karapinar et al. [On interpolative Hardy-Rogers type contractions. Symmetry, 2019, 11(1), 8] are obtained. On the basis that fixed point of a single-valued mapping satisfying interpolative type contractive inequality is not necessarily unique, and thereby making the notions more appropriate for fixed point theorems of multifunctions, new multivalued analogues of the fuzzy fixed point theorems presented herein are deduced as corollaries. In addition, nontrivial examples which dwell upon the generality of our results are provided. Finally, one of our results is applied to investigate solvability conditions of a Fredholm integral inclusion.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68266212","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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