Pub Date : 2022-02-01DOI: 10.46793/kgjmat2201.039s
Fahimeh Sultanzadeh, M. Hassani, M. Omidvar, R. A. Kamyabi Gol
{"title":"REFINING SOME INEQUALITIES FOR FRAMES WITH SPECHT’S RATIO","authors":"Fahimeh Sultanzadeh, M. Hassani, M. Omidvar, R. A. Kamyabi Gol","doi":"10.46793/kgjmat2201.039s","DOIUrl":"https://doi.org/10.46793/kgjmat2201.039s","url":null,"abstract":"","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2022-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47538937","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-02-01DOI: 10.46793/kgjmat2201.149g
Vijay Gupta, G. Tachev
In the present paper, we consider Post-Widder operators and its modified form which preserve the test function xr, r ∈ ℕ. We estimate direct results in terms of modulus of continuity for the modified operators. Also, some estimates for polynomially bounded functions and linear combinations are considered. Our estimates improve in some sense the previous results for the original Post-Widder operators.
{"title":"Some Results on Post-Widder Operators Preserving Test Function x^r","authors":"Vijay Gupta, G. Tachev","doi":"10.46793/kgjmat2201.149g","DOIUrl":"https://doi.org/10.46793/kgjmat2201.149g","url":null,"abstract":"In the present paper, we consider Post-Widder operators and its modified form which preserve the test function xr, r ∈ ℕ. We estimate direct results in terms of modulus of continuity for the modified operators. Also, some estimates for polynomially bounded functions and linear combinations are considered. Our estimates improve in some sense the previous results for the original Post-Widder operators.","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2022-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47715792","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-02-01DOI: 10.46793/kgjmat2201.115w
A. Wanas
In the present investigation, we use the principle of subordination to introduce a new family for holomorphic functions defined by generalized differential operator. Also we establish some interesting geometric properties for functions belonging to this family.
{"title":"Differential Subordination Results for Holomorphic Functions Related to Generalized Differential Operator","authors":"A. Wanas","doi":"10.46793/kgjmat2201.115w","DOIUrl":"https://doi.org/10.46793/kgjmat2201.115w","url":null,"abstract":"In the present investigation, we use the principle of subordination to introduce a new family for holomorphic functions defined by generalized differential operator. Also we establish some interesting geometric properties for functions belonging to this family.","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2022-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46778050","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-02-01DOI: 10.46793/kgjmat2201.007k
K. A. Khelil, R. Sfaxi, Ammar Boukhemis
In this article, we are study the question of existence of integral equation for the monic Hermite polynomials Hn, where the intervening real function does not depend on the index n, well-known by the linear functional Wx given by its moments Hn(x) = ⟨Wx, tn⟩, n ≥ 0, ♣x♣ < ∞. Also, we obtain some properties of the zeros of this intervening function. Furthermore, we obtain an integral representation of the Dirac mass δx, for every real number x.
{"title":"New Integral Equations for the Monic Hermite Polynomials","authors":"K. A. Khelil, R. Sfaxi, Ammar Boukhemis","doi":"10.46793/kgjmat2201.007k","DOIUrl":"https://doi.org/10.46793/kgjmat2201.007k","url":null,"abstract":"In this article, we are study the question of existence of integral equation for the monic Hermite polynomials Hn, where the intervening real function does not depend on the index n, well-known by the linear functional Wx given by its moments Hn(x) = ⟨Wx, tn⟩, n ≥ 0, ♣x♣ < ∞. Also, we obtain some properties of the zeros of this intervening function. Furthermore, we obtain an integral representation of the Dirac mass δx, for every real number x.","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2022-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44486256","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-02-01DOI: 10.46793/kgjmat2201.021a
Fatema Ali, F. Atalan
Let N be a compact, connected, nonorientable surface of genus g with n boundary components. In this note, we show that the cut system complex of N is connected for g < 4 and disconnected for g ≥ 4. We then define a related complex and show that it is connected for g ≥ 4.
{"title":"CONNECTEDNESS OF THE CUT SYSTEM COMPLEX ON NONORIENTABLE SURFACES","authors":"Fatema Ali, F. Atalan","doi":"10.46793/kgjmat2201.021a","DOIUrl":"https://doi.org/10.46793/kgjmat2201.021a","url":null,"abstract":"Let N be a compact, connected, nonorientable surface of genus g with n boundary components. In this note, we show that the cut system complex of N is connected for g < 4 and disconnected for g ≥ 4. We then define a related complex and show that it is connected for g ≥ 4.","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2022-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45595053","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-02-01DOI: 10.46793/kgjmat2201.139h
S. Hans, Amit Tomar, Jianheng Chen
If P(z) is a polynomial of degree n, then for a subclass of polynomials, Dalal and Govil [7] compared the bounds, containing all the zeros, for two different results with two different real sequences λk > 0, Pn k=1 λk = 1. In this paper, we prove a more general result, by which one can compare the bounds of two different results with the same sequence of real or complex λk, Pn k=0 ♣λk♣ ≤ 1. A variety of other results have been extended in this direction, which in particular include several known extensions and generalizations of a classical result of Cauchy [4], from this result by a fairly uniform manner.
{"title":"A Note on Comparison of Annuli Containing all the Zeros of a Polynomial","authors":"S. Hans, Amit Tomar, Jianheng Chen","doi":"10.46793/kgjmat2201.139h","DOIUrl":"https://doi.org/10.46793/kgjmat2201.139h","url":null,"abstract":"If P(z) is a polynomial of degree n, then for a subclass of polynomials, Dalal and Govil [7] compared the bounds, containing all the zeros, for two different results with two different real sequences λk > 0, Pn k=1 λk = 1. In this paper, we prove a more general result, by which one can compare the bounds of two different results with the same sequence of real or complex λk, Pn k=0 ♣λk♣ ≤ 1. A variety of other results have been extended in this direction, which in particular include several known extensions and generalizations of a classical result of Cauchy [4], from this result by a fairly uniform manner.","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2022-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46878560","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-02-01DOI: 10.46793/kgjmat2201.065w
M. Woldaregay, G. Duressa
The motive of this work is to develop ε-uniform numerical method for solving singularly perturbed parabolic delay differential equation with small delay. To approximate the term with the delay, Taylor series expansion is used. The resulting singularly perturbed parabolic differential equation is solved by using non-standard finite difference method in spatial direction and implicit Runge-Kutta method for the resulting system of IVPs in temporal direction. Theoretically the developed method is shown to be accurate of order O(N −1 + (∆t) 2 ) by preserving ε-uniform convergence. Two numerical examples are considered to investigate εuniform convergence of the proposed scheme and the result obtained agreed with the theoretical one
{"title":"UNIFORMLY CONVERGENT NUMERICAL METHOD FOR SINGULARLY PERTURBED DELAY PARABOLIC DIFFERENTIAL EQUATIONS ARISING IN COMPUTATIONAL NEUROSCIENCE","authors":"M. Woldaregay, G. Duressa","doi":"10.46793/kgjmat2201.065w","DOIUrl":"https://doi.org/10.46793/kgjmat2201.065w","url":null,"abstract":"The motive of this work is to develop ε-uniform numerical method for solving singularly perturbed parabolic delay differential equation with small delay. To approximate the term with the delay, Taylor series expansion is used. The resulting singularly perturbed parabolic differential equation is solved by using non-standard finite difference method in spatial direction and implicit Runge-Kutta method for the resulting system of IVPs in temporal direction. Theoretically the developed method is shown to be accurate of order O(N −1 + (∆t) 2 ) by preserving ε-uniform convergence. Two numerical examples are considered to investigate εuniform convergence of the proposed scheme and the result obtained agreed with the theoretical one","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2022-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49439647","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-02-01DOI: 10.46793/kgjmat2201.049b
M. Beddani
This paper aims to an initial value problem for an impulsive fractional differential inclusion with the Riemann-Liouville fractional derivative. We apply Covitz and Nadler theorem concerning the study of the fixed point for multivalued maps to obtain the existence results for the given problems. We also obtain some topological properties about the solution set.
{"title":"SOLUTION SET FOR IMPULSIVE FRACTIONAL DIFFERENTIAL INCLUSIONS","authors":"M. Beddani","doi":"10.46793/kgjmat2201.049b","DOIUrl":"https://doi.org/10.46793/kgjmat2201.049b","url":null,"abstract":"This paper aims to an initial value problem for an impulsive fractional differential inclusion with the Riemann-Liouville fractional derivative. We apply Covitz and Nadler theorem concerning the study of the fixed point for multivalued maps to obtain the existence results for the given problems. We also obtain some topological properties about the solution set.","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2022-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49608977","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-01-01DOI: 10.46793/kgjmat2202.193b
A. Benkhaled, Abdenour Hamdaoui
{"title":"General Classes of Shrinkage Estimators for the Multivariate Normal Mean with Unknown Variance: Minimaxity and Limit of Risks Ratios","authors":"A. Benkhaled, Abdenour Hamdaoui","doi":"10.46793/kgjmat2202.193b","DOIUrl":"https://doi.org/10.46793/kgjmat2202.193b","url":null,"abstract":"","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70587804","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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